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10145036146041 = 334111173820231
BaseRepresentation
bin1001001110100001001101…
…0001101001010101111001
31022220212010000022212012000
42103220103101221111321
52312204013223133131
633324322033011213
72064645311265156
oct223502321512571
938825100285160
1010145036146041
113261538473225
12117a2140b3b09
135878991c3694
1427104554b22d
15128d67d5ace6
hex93a13469579

10145036146041 has 32 divisors (see below), whose sum is σ = 15397657578240. Its totient is φ = 6597798883200.

The previous prime is 10145036146039. The next prime is 10145036146061. The reversal of 10145036146041 is 14064163054101.

10145036146041 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 36 + 14 + 604 + 1 = 666.

It is not a de Polignac number, because 10145036146041 - 21 = 10145036146039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10145036145987 and 10145036146005.

It is not an unprimeable number, because it can be changed into a prime (10145036146061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11958396 + ... + 12778626.

It is an arithmetic number, because the mean of its divisors is an integer number (481176799320).

Almost surely, 210145036146041 is an apocalyptic number.

It is an amenable number.

10145036146041 is a deficient number, since it is larger than the sum of its proper divisors (5252621432199).

10145036146041 is a wasteful number, since it uses less digits than its factorization.

10145036146041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831454 (or 831448 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10145036146041 in words is "ten trillion, one hundred forty-five billion, thirty-six million, one hundred forty-six thousand, forty-one".

Divisors: 1 3 9 27 41 123 369 1107 11173 33519 100557 301671 458093 820231 1374279 2460693 4122837 7382079 12368511 22146237 33629471 100888413 302665239 907995717 9164440963 27493322889 82479968667 247439906001 375742079483 1127226238449 3381678715347 10145036146041