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141468856953156 = 2232196136754117077
BaseRepresentation
bin100000001010101001001000…
…111101110010100101000100
3200112220021211212201222110100
4200022221020331302211010
5122020311204340000111
61220513521245124100
741540534104264515
oct4012511075624504
9615807755658410
10141468856953156
1141092672734597
1213a49741b59630
1360c25c09bb925
1426d11b47a6a0c
151154de2721756
hex80aa48f72944

141468856953156 has 288 divisors, whose sum is σ = 384367971653120. Its totient is φ = 43738712294400.

The previous prime is 141468856953139. The next prime is 141468856953173. The reversal of 141468856953156 is 651359658864141.

141468856953156 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 8 + 8 + 569 + 5 + 3 + 1 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (141468856953139) and next prime (141468856953173).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8284166490 + ... + 8284183566.

Almost surely, 2141468856953156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141468856953156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192183985826560).

141468856953156 is an abundant number, since it is smaller than the sum of its proper divisors (242899114699964).

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

141468856953156 is a wasteful number, since it uses less digits than its factorization.

141468856953156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18075 (or 18070 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 141468856953156 in words is "one hundred forty-one trillion, four hundred sixty-eight billion, eight hundred fifty-six million, nine hundred fifty-three thousand, one hundred fifty-six".