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40432311808 = 29737304901
BaseRepresentation
bin100101101001111101…
…000001111000000000
310212100210112020210221
4211221331001320000
51130301132434213
630324020432424
72630643660040
oct455175017000
9125323466727
1040432311808
1116168a93329
127a04848714
133a747c8175
141d57b83720
1510b992e38d
hex969f41e00

40432311808 has 80 divisors (see below), whose sum is σ = 94822082784. Its totient is φ = 16859750400.

The previous prime is 40432311767. The next prime is 40432311853. The reversal of 40432311808 is 80811323404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19843 + ... + 285058.

Almost surely, 240432311808 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 40432311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47411041392).

40432311808 is an abundant number, since it is smaller than the sum of its proper divisors (54389770976).

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

40432311808 is an equidigital number, since it uses as much as digits as its factorization.

40432311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304963 (or 304947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 40432311808 in words is "forty billion, four hundred thirty-two million, three hundred eleven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1036 1184 1792 2072 2368 3584 4144 4736 8288 9472 16576 18944 33152 66304 132608 304901 609802 1219604 2134307 2439208 4268614 4878416 8537228 9756832 11281337 17074456 19513664 22562674 34148912 39027328 45125348 68297824 78054656 78969359 90250696 136595648 156109312 157938718 180501392 273191296 315877436 361002784 546382592 631754872 722005568 1092765184 1263509744 1444011136 2527019488 2888022272 5054038976 5776044544 10108077952 20216155904 40432311808