Search a number
-
+
4522143223040 = 28531277741039
BaseRepresentation
bin100000111001110010010…
…1111011000110100000000
3121000022102221021200201112
41001303210233120310000
51043042322131114130
613341235515222452
7644466632114162
oct101634457306400
917008387250645
104522143223040
111493914a592a3
12610508747a28
1326a589663841
14118c31346932
157c970aad495
hex41ce4bd8d00

4522143223040 has 144 divisors (see below), whose sum is σ = 11185662781440. Its totient is φ = 1749834055680.

The previous prime is 4522143222967. The next prime is 4522143223049. The reversal of 4522143223040 is 403223412254.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4522143222988 and 4522143223006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4522143223049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110170841 + ... + 110211879.

It is an arithmetic number, because the mean of its divisors is an integer number (77678213760).

Almost surely, 24522143223040 is an apocalyptic number.

4522143223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522143223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592831390720).

4522143223040 is an abundant number, since it is smaller than the sum of its proper divisors (6663519558400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4522143223040 is a wasteful number, since it uses less digits than its factorization.

4522143223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43868 (or 43854 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4522143223040 its reverse (403223412254), we get a palindrome (4925366635294).

The spelling of 4522143223040 in words is "four trillion, five hundred twenty-two billion, one hundred forty-three million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 2777 3968 4960 5554 7936 9920 11108 13885 19840 22216 27770 39680 41039 44432 55540 82078 86087 88864 111080 164156 172174 177728 205195 222160 328312 344348 355456 410390 430435 444320 656624 688696 710912 820780 860870 888640 1272209 1313248 1377392 1641560 1721740 1777280 2544418 2626496 2754784 3283120 3443480 3554560 5088836 5252992 5509568 6361045 6566240 6886960 10177672 10505984 11019136 12722090 13132480 13773920 20355344 22038272 25444180 26264960 27547840 40710688 50888360 52529920 55095680 81421376 101776720 110191360 113965303 162842752 203553440 227930606 325685504 407106880 455861212 569826515 814213760 911722424 1139653030 1628427520 1823444848 2279306060 3532924393 3646889696 4558612120 7065848786 7293779392 9117224240 14131697572 14587558784 17664621965 18234448480 28263395144 29175117568 35329243930 36468896960 56526790288 70658487860 72937793920 113053580576 141316975720 145875587840 226107161152 282633951440 452214322304 565267902880 904428644608 1130535805760 2261071611520 4522143223040