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151142065308 = 2232131737513439
BaseRepresentation
bin1000110011000011000…
…1001110010010011100
3112110010100110102221200
42030300301032102130
54434014332042213
6153233402555500
713630304233503
oct2146061162234
9473110412850
10151142065308
115910a834783
1225361208b90
131133906aa50
14745b31d83a
153de8ec4273
hex2330c4e49c

151142065308 has 144 divisors (see below), whose sum is σ = 447419831040. Its totient is φ = 42586601472.

The previous prime is 151142065297. The next prime is 151142065331. The reversal of 151142065308 is 803560241151.

151142065308 is a `hidden beast` number, since 1 + 5 + 114 + 2 + 0 + 6 + 530 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37653 + ... + 551091.

It is an arithmetic number, because the mean of its divisors is an integer number (3107082160).

Almost surely, 2151142065308 is an apocalyptic number.

151142065308 is a gapful number since it is divisible by the number (18) 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 151142065308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223709915520).

151142065308 is an abundant number, since it is smaller than the sum of its proper divisors (296277765732).

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

151142065308 is a wasteful number, since it uses less digits than its factorization.

151142065308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513516 (or 513511 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 151142065308 in words is "one hundred fifty-one billion, one hundred forty-two million, sixty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 37 39 51 52 68 74 78 102 111 117 148 153 156 204 221 222 234 306 333 442 444 468 481 612 629 663 666 884 962 1258 1326 1332 1443 1887 1924 1989 2516 2652 2886 3774 3978 4329 5661 5772 7548 7956 8177 8658 11322 16354 17316 22644 24531 32708 49062 73593 98124 147186 294372 513439 1026878 1540317 2053756 3080634 4620951 6161268 6674707 8728463 9241902 13349414 17456926 18483804 18997243 20024121 26185389 26698828 34913852 37994486 40048242 52370778 56991729 60072363 75988972 78556167 80096484 104741556 113470019 113983458 120144726 157112334 170975187 226940038 227966916 240289452 246964159 314224668 322953131 340410057 341950374 453880076 493928318 645906262 680820114 683900748 740892477 968859393 987856636 1021230171 1291812524 1361640228 1481784954 1937718786 2042460342 2222677431 2906578179 2963569908 3875437572 4084920684 4198390703 4445354862 5813156358 8396781406 8890709724 11626312716 12595172109 16793562812 25190344218 37785516327 50380688436 75571032654 151142065308