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40435122153404 = 22117112943380971
BaseRepresentation
bin10010011000110100010010…
…00101111010011110111100
312022011120010012000122012202
421030122021011322132330
520244442112232402104
6221555345542051032
711342225010241316
oct1114321105723674
9168146105018182
1040435122153404
111197a491350130
124650720719a78
1319740285288a4
149db0db0a47b6
154a1c24c7451e
hex24c68917a7bc

40435122153404 has 24 divisors (see below), whose sum is σ = 78281568118656. Its totient is φ = 18120733358000.

The previous prime is 40435122153383. The next prime is 40435122153409.

40435122153404 is nontrivially palindromic in base 10.

40435122153404 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 not an unprimeable number, because it can be changed into a prime (40435122153409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6471687362 + ... + 6471693609.

It is an arithmetic number, because the mean of its divisors is an integer number (3261732004944).

Almost surely, 240435122153404 is an apocalyptic number.

40435122153404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40435122153404 is a deficient number, since it is larger than the sum of its proper divisors (37846445965252).

40435122153404 is a wasteful number, since it uses less digits than its factorization.

40435122153404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12943381057 (or 12943381055 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4043512 and 2153404, that added together give a palindrome (6196916).

The spelling of 40435122153404 in words is "forty trillion, four hundred thirty-five billion, one hundred twenty-two million, one hundred fifty-three thousand, four hundred four".

Divisors: 1 2 4 11 22 44 71 142 284 781 1562 3124 12943380971 25886761942 51773523884 142377190681 284754381362 569508762724 918980048941 1837960097882 3675920195764 10108780538351 20217561076702 40435122153404