Search a number
-
+
151121443350 = 23523676734079
BaseRepresentation
bin1000110010111110001…
…0100011101000010110
3112110001220122201221110
42030233202203220112
54433444042141400
6153231344555450
713626634034253
oct2145742435026
9473056581843
10151121443350
11590aa12a139
1225356322b86
13113349ca4c7
1474586b242a
153de729de50
hex232f8a3a16

151121443350 has 96 divisors (see below), whose sum is σ = 376453048320. Its totient is φ = 40119690240.

The previous prime is 151121443349. The next prime is 151121443357. The reversal of 151121443350 is 53344121151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151121443357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37046611 + ... + 37050689.

It is an arithmetic number, because the mean of its divisors is an integer number (3921385920).

Almost surely, 2151121443350 is an apocalyptic number.

151121443350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151121443350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188226524160).

151121443350 is an abundant number, since it is smaller than the sum of its proper divisors (225331604970).

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

151121443350 is a wasteful number, since it uses less digits than its factorization.

151121443350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 151121443350 in words is "one hundred fifty-one billion, one hundred twenty-one million, four hundred forty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 367 673 734 1101 1346 1835 2019 2202 3365 3670 4038 4079 5505 6730 8158 9175 10095 11010 12237 16825 18350 20190 20395 24474 27525 33650 40790 50475 55050 61185 100950 101975 122370 203950 246991 305925 493982 611850 740973 1234955 1481946 1496993 2469910 2745167 2993986 3704865 4490979 5490334 6174775 7409730 7484965 8235501 8981958 12349550 13725835 14969930 16471002 18524325 22454895 27451670 37048650 37424825 41177505 44909790 68629175 74849650 82355010 112274475 137258350 205887525 224548950 411775050 1007476289 2014952578 3022428867 5037381445 6044857734 10074762890 15112144335 25186907225 30224288670 50373814450 75560721675 151121443350