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151660160440 = 235311013120737
BaseRepresentation
bin1000110100111110100…
…1100110010110111000
3112111110110100101212021
42031033221212112320
54441100000113230
6153401031324224
713646165044105
oct2151751462670
9474413311767
10151660160440
1159356230278
1225486820674
13113bc4ba209
1474aa065aac
153e29713c7a
hex234fa665b8

151660160440 has 64 divisors (see below), whose sum is σ = 352593596160. Its totient is φ = 58648719360.

The previous prime is 151660160429. The next prime is 151660160501. The reversal of 151660160440 is 44061066151.

It is a junction number, because it is equal to n+sod(n) for n = 151660160396 and 151660160405.

It is a congruent number.

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, 1195752 + ... + 1316488.

It is an arithmetic number, because the mean of its divisors is an integer number (5509274940).

Almost surely, 2151660160440 is an apocalyptic number.

151660160440 is a gapful number since it is divisible by the number (10) 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 151660160440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176296798080).

151660160440 is an abundant number, since it is smaller than the sum of its proper divisors (200933435720).

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

151660160440 is a wasteful number, since it uses less digits than its factorization.

151660160440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121792 (or 121788 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 151660160440 in words is "one hundred fifty-one billion, six hundred sixty million, one hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1013 1240 2026 4052 5065 8104 10130 20260 31403 40520 62806 120737 125612 157015 241474 251224 314030 482948 603685 628060 965896 1207370 1256120 2414740 3742847 4829480 7485694 14971388 18714235 29942776 37428470 74856940 122306581 149713880 244613162 489226324 611532905 978452648 1223065810 2446131620 3791504011 4892263240 7583008022 15166016044 18957520055 30332032088 37915040110 75830080220 151660160440