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4024220431040 = 26529943345971
BaseRepresentation
bin111010100011110110001…
…110101011001011000000
3112020201012211201002011122
4322203312032223023000
51011413100412243130
612320411253531412
7563511635163515
oct72436616531300
915221184632148
104024220431040
111311731581a27
1254bb07343b68
13232636983734
14dcab7d5930c
156ea2c4de2e5
hex3a8f63ab2c0

4024220431040 has 112 divisors (see below), whose sum is σ = 9914378525280. Its totient is φ = 1553983119360.

The previous prime is 4024220430941. The next prime is 4024220431111. The reversal of 4024220431040 is 401340224204.

It is a happy number.

4024220431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87515255 + ... + 87561225.

Almost surely, 24024220431040 is an apocalyptic number.

4024220431040 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 4024220431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957189262640).

4024220431040 is an abundant number, since it is smaller than the sum of its proper divisors (5890158094240).

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

4024220431040 is a wasteful number, since it uses less digits than its factorization.

4024220431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55450 (or 55440 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4024220431040 its reverse (401340224204), we get a palindrome (4425560655244).

The spelling of 4024220431040 in words is "four trillion, twenty-four billion, two hundred twenty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 9433 18866 37732 45971 47165 75464 91942 94330 150928 183884 188660 229855 273557 301856 367768 377320 459710 547114 603712 735536 754640 919420 1094228 1333159 1367785 1471072 1509280 1838840 2188456 2666318 2735570 2942144 3018560 3677680 4376912 5332636 5471140 6665795 7355360 8753824 10665272 10942280 13331590 14710720 17507648 21330544 21884560 26663180 42661088 43769120 53326360 85322176 87538240 106652720 213305440 426610880 433644443 867288886 1734577772 2168222215 3469155544 4336444430 6938311088 8672888860 12575688847 13876622176 17345777720 25151377694 27753244352 34691555440 50302755388 62878444235 69383110880 100605510776 125756888470 138766221760 201211021552 251513776940 402422043104 503027553880 804844086208 1006055107760 2012110215520 4024220431040