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40412100121404 = 22311227832024877
BaseRepresentation
bin10010011000001001011001…
…10111110101001100111100
312022002100200202000020101220
421030010230313311030330
520244102440112341104
6221541021300033340
711340451341220434
oct1114045467651474
9168070622006356
1040412100121404
1111970747a82800
124648176692850
131971ac9a2444b
149d9d556bd2c4
154a1328a617d9
hex24c12cdf533c

40412100121404 has 36 divisors (see below), whose sum is σ = 103646460645672. Its totient is φ = 12246090945440.

The previous prime is 40412100121397. The next prime is 40412100121417.

40412100121404 is nontrivially palindromic in base 10.

40412100121404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13916010987 + ... + 13916013890.

Almost surely, 240412100121404 is an apocalyptic number.

40412100121404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40412100121404 is an abundant number, since it is smaller than the sum of its proper divisors (63234360524268).

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

40412100121404 is a wasteful number, since it uses less digits than its factorization.

40412100121404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832024906 (or 27832024893 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, 40412100 and 121404, that added together give a palindrome (40533504).

The spelling of 40412100121404 in words is "forty trillion, four hundred twelve billion, one hundred million, one hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 27832024877 55664049754 83496074631 111328099508 166992149262 306152273647 333984298524 612304547294 918456820941 1224609094588 1836913641882 3367675010117 3673827283764 6735350020234 10103025030351 13470700040468 20206050060702 40412100121404