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140804638848 = 273361667903
BaseRepresentation
bin1000001100100010011…
…1000100100010000000
3111110102220202202202000
42003020213010202000
54301331441420343
6144403524024000
713113161453106
oct2031047044200
9443386682660
10140804638848
1154795603225
1223357232000
131037c4aa463
146b5a443c76
1539e16b2ed3
hex20c89c4880

140804638848 has 128 divisors (see below), whose sum is σ = 422382489600. Its totient is φ = 46165386240.

The previous prime is 140804638841. The next prime is 140804638861. The reversal of 140804638848 is 848836408041.

140804638848 is a `hidden beast` number, since 140 + 80 + 4 + 6 + 388 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1408046388482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 140804638794 and 140804638803.

It is not an unprimeable number, because it can be changed into a prime (140804638841) 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 15 ways as a sum of consecutive naturals, for example, 123136 + ... + 544767.

It is an arithmetic number, because the mean of its divisors is an integer number (3299863200).

Almost surely, 2140804638848 is an apocalyptic number.

140804638848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140804638848 is an abundant number, since it is smaller than the sum of its proper divisors (281577850752).

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

140804638848 is an equidigital number, since it uses as much as digits as its factorization.

140804638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667987 (or 667969 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 140804638848 in words is "one hundred forty billion, eight hundred four million, six hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1647 1728 1952 2196 2928 3294 3456 3904 4392 5856 6588 7808 8784 11712 13176 17568 23424 26352 35136 52704 70272 105408 210816 667903 1335806 2003709 2671612 4007418 5343224 6011127 8014836 10686448 12022254 16029672 18033381 21372896 24044508 32059344 36066762 40742083 42745792 48089016 64118688 72133524 81484166 85491584 96178032 122226249 128237376 144267048 162968332 192356064 244452498 256474752 288534096 325936664 366678747 384712128 488904996 577068192 651873328 733357494 769424256 977809992 1100036241 1154136384 1303746656 1466714988 1955619984 2200072482 2308272768 2607493312 2933429976 3911239968 4400144964 5214986624 5866859952 7822479936 8800289928 11733719904 15644959872 17600579856 23467439808 35201159712 46934879616 70402319424 140804638848