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15234064354146 = 2311673823901141
BaseRepresentation
bin1101110110101111010011…
…1111101000101101100010
31222221100210010201112212010
43131223310333220231202
53444043330433313041
652222233233013350
73131424213316341
oct335536477505542
958840703645763
1015234064354146
1149438041a4180
1218605693b4256
13866748968211
143a9492b07b58
151b641644aa16
hexddaf4fe8b62

15234064354146 has 64 divisors (see below), whose sum is σ = 33742908942336. Its totient is φ = 4546287345600.

The previous prime is 15234064354123. The next prime is 15234064354237. The reversal of 15234064354146 is 64145346043251.

It is a super-3 number, since 3×152340643541463 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15234064354095 and 15234064354104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16454736 + ... + 17355876.

It is an arithmetic number, because the mean of its divisors is an integer number (527232952224).

Almost surely, 215234064354146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15234064354146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871454471168).

15234064354146 is an abundant number, since it is smaller than the sum of its proper divisors (18508844588190).

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

15234064354146 is a wasteful number, since it uses less digits than its factorization.

15234064354146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905047.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 15234064354146 in words is "fifteen trillion, two hundred thirty-four billion, sixty-four million, three hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 3823 4422 7646 11469 22938 42053 84106 126159 252318 256141 512282 768423 901141 1536846 1802282 2703423 2817551 5406846 5635102 8452653 9912551 16905306 19825102 29737653 59475306 60376447 120752894 181129341 362258682 664140917 1328281834 1992422751 3445062043 3984845502 6890124086 10335186129 20670372258 37895682473 75791364946 113687047419 227374094838 230819156881 461638313762 692457470643 1384914941286 2539010725691 5078021451382 7617032177073 15234064354146