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40024111142004 = 22311599506198603
BaseRepresentation
bin10010001100110110101101…
…11011010101010001110100
312020201021020010021221011220
421012123112323111101310
520221223334423021004
6221042453421430340
711300434533263253
oct1106332673252164
9166637203257156
1040024111142004
1111831148349a10
1245a4b35a0b3b0
131944346908bb2
149c526a7a679a
154961bb863dd9
hex2466d6ed5474

40024111142004 has 48 divisors (see below), whose sum is σ = 102049638566400. Its totient is φ = 12108270559840.

The previous prime is 40024111141913. The next prime is 40024111142101.

40024111142004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253020234 + ... + 253178369.

It is an arithmetic number, because the mean of its divisors is an integer number (2126034136800).

Almost surely, 240024111142004 is an apocalyptic number.

40024111142004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40024111142004 is an abundant number, since it is smaller than the sum of its proper divisors (62025527424396).

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

40024111142004 is a wasteful number, since it uses less digits than its factorization.

40024111142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506199220 (or 506199218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4002411 and 1142004, that added together give a palindrome (5144415).

The spelling of 40024111142004 in words is "forty trillion, twenty-four billion, one hundred eleven million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 599 1198 1797 2396 3594 6589 7188 13178 19767 26356 39534 79068 506198603 1012397206 1518595809 2024794412 3037191618 5568184633 6074383236 11136369266 16704553899 22272738532 33409107798 66818215596 303212963197 606425926394 909638889591 1212851852788 1819277779182 3335342595167 3638555558364 6670685190334 10006027785501 13341370380668 20012055571002 40024111142004