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40401122432 = 271154752457
BaseRepresentation
bin100101101000000110…
…000011010010000000
310212021121211200000212
4211220012003102000
51130220141404212
630320544133252
72630114605646
oct455006032200
9125247750025
1040401122432
1116152420290
1279b6307228
133a6b1c7a08
141d53985196
1510b6d1ce22
hex968183480

40401122432 has 64 divisors (see below), whose sum is σ = 87965771040. Its totient is φ = 18330224640.

The previous prime is 40401122431. The next prime is 40401122453. The reversal of 40401122432 is 23422110404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40401122398 and 40401122407.

It is not an unprimeable number, because it can be changed into a prime (40401122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743948 + ... + 796404.

Almost surely, 240401122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40401122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43982885520).

40401122432 is an abundant number, since it is smaller than the sum of its proper divisors (47564648608).

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

40401122432 is a wasteful number, since it uses less digits than its factorization.

40401122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53029 (or 53017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40401122432 its reverse (23422110404), we get a palindrome (63823232836).

The spelling of 40401122432 in words is "forty billion, four hundred one million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 547 704 1094 1408 2188 4376 6017 8752 12034 17504 24068 35008 48136 52457 70016 96272 104914 192544 209828 385088 419656 577027 770176 839312 1154054 1678624 2308108 3357248 4616216 6714496 9232432 18464864 28693979 36929728 57387958 73859456 114775916 229551832 315633769 459103664 631267538 918207328 1262535076 1836414656 2525070152 3672829312 5050140304 10100280608 20200561216 40401122432