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40154256441 = 341338133197
BaseRepresentation
bin100101011001011000…
…010101010000111001
310211122102022120120000
4211121120111100321
51124213442201231
630240245023213
72621026356015
oct453130252071
9124572276500
1040154256441
1116036038202
1279476b4b09
133a2c011970
141d2cc83545
1510a03076e6
hex959615439

40154256441 has 20 divisors (see below), whose sum is σ = 64597637412. Its totient is φ = 24710311008.

The previous prime is 40154256427. The next prime is 40154256449. The reversal of 40154256441 is 14465245104.

40154256441 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 4 + 2 + 5 + 644 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7494538041 + 32659718400 = 86571^2 + 180720^2 .

It is not a de Polignac number, because 40154256441 - 219 = 40153732153 is a prime.

It is a super-2 number, since 2×401542564412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40154256396 and 40154256405.

It is not an unprimeable number, because it can be changed into a prime (40154256449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19065546 + ... + 19067651.

Almost surely, 240154256441 is an apocalyptic number.

It is an amenable number.

40154256441 is a deficient number, since it is larger than the sum of its proper divisors (24443380971).

40154256441 is a wasteful number, since it uses less digits than its factorization.

40154256441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38133222 (or 38133213 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40154256441 in words is "forty billion, one hundred fifty-four million, two hundred fifty-six thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 38133197 114399591 343198773 495731561 1029596319 1487194683 3088788957 4461584049 13384752147 40154256441