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140387838048 = 25326154114771
BaseRepresentation
bin1000001010111111000…
…1000110100001100000
3111102100212111002112100
42002233301012201200
54300003241304143
6144254314330400
713066640635323
oct2025761064140
9442325432470
10140387838048
11545a1302657
122325b729a00
1310314035973
146b1ad487ba
1539b9cd16d3
hex20afc46860

140387838048 has 144 divisors (see below), whose sum is σ = 406550197872. Its totient is φ = 45940608000.

The previous prime is 140387838029. The next prime is 140387838121. The reversal of 140387838048 is 840838783041.

It is a happy number.

140387838048 is a `hidden beast` number, since 1 + 403 + 87 + 83 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1403878380483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140387837985 and 140387838003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9496903 + ... + 9511673.

It is an arithmetic number, because the mean of its divisors is an integer number (2823265263).

Almost surely, 2140387838048 is an apocalyptic number.

140387838048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140387838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203275098936).

140387838048 is an abundant number, since it is smaller than the sum of its proper divisors (266162359824).

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

140387838048 is a wasteful number, since it uses less digits than its factorization.

140387838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 140387838048 in words is "one hundred forty billion, three hundred eighty-seven million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 541 549 732 976 1082 1098 1464 1623 1952 2164 2196 2928 3246 4328 4392 4869 5856 6492 8656 8784 9738 12984 14771 17312 17568 19476 25968 29542 33001 38952 44313 51936 59084 66002 77904 88626 99003 118168 132004 132939 155808 177252 198006 236336 264008 265878 297009 354504 396012 472672 528016 531756 594018 709008 792024 901031 1056032 1063512 1188036 1418016 1584048 1802062 2127024 2376072 2703093 3168096 3604124 4254048 4752144 5406186 7208248 7991111 8109279 9504288 10812372 14416496 15982222 16218558 21624744 23973333 28832992 31964444 32437116 43249488 47946666 63928888 64874232 71919999 86498976 95893332 127857776 129748464 143839998 191786664 255715552 259496928 287679996 383573328 487457771 575359992 767146656 974915542 1150719984 1462373313 1949831084 2301439968 2924746626 3899662168 4387119939 5849493252 7799324336 8774239878 11698986504 15598648672 17548479756 23397973008 35096959512 46795946016 70193919024 140387838048