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10132422423040 = 29523021171929
BaseRepresentation
bin1001001101110010001101…
…1100000111001000000000
31022212122112221101100011001
42103130203130013020000
52312002200120014130
633314434241101344
72064020605355431
oct223344334071000
938778487340131
1010132422423040
113257155340465
121177893927854
13586638b69c68
142705aa213488
1512887a7ab6ca
hex93723707200

10132422423040 has 80 divisors (see below), whose sum is σ = 24295262559480. Its totient is φ = 4052769341440.

The previous prime is 10132422422971. The next prime is 10132422423059. The reversal of 10132422423040 is 4032422423101.

It can be written as a sum of positive squares in 4 ways, for example, as 3345855572224 + 6786566850816 = 1829168^2 + 2605104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58847796 + ... + 59019724.

Almost surely, 210132422423040 is an apocalyptic number.

10132422423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132422423040 is an abundant number, since it is smaller than the sum of its proper divisors (14162840136440).

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

10132422423040 is an equidigital number, since it uses as much as digits as its factorization.

10132422423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194973 (or 194957 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10132422423040 its reverse (4032422423101), we get a palindrome (14164844846141).

The spelling of 10132422423040 in words is "ten trillion, one hundred thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 23021 46042 92084 115105 171929 184168 230210 343858 368336 460420 687716 736672 859645 920840 1375432 1473344 1719290 1841680 2750864 2946688 3438580 3683360 5501728 5893376 6877160 7366720 11003456 11786752 13754320 14733440 22006912 27508640 29466880 44013824 55017280 58933760 88027648 110034560 220069120 440138240 3957977509 7915955018 15831910036 19789887545 31663820072 39579775090 63327640144 79159550180 126655280288 158319100360 253310560576 316638200720 506621121152 633276401440 1013242242304 1266552802880 2026484484608 2533105605760 5066211211520 10132422423040