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140256478260 = 22345731186001
BaseRepresentation
bin1000001010011111110…
…0000000010000110100
3111102000201022022210000
42002213330000100310
54244221124301020
6144233303031300
713063454252223
oct2024774002064
9442021268700
10140256478260
1154534142048
122322373b530
13102c2a62292
146b07712cba
1539ad4d5090
hex20a7f00434

140256478260 has 120 divisors (see below), whose sum is σ = 446017400136. Its totient is φ = 36889344000.

The previous prime is 140256478249. The next prime is 140256478267. The reversal of 140256478260 is 62874652041.

140256478260 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 564 + 7 + 82 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 140256242064 = 486^2 + 374508^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140256478267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 474741 + ... + 711260.

Almost surely, 2140256478260 is an apocalyptic number.

140256478260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140256478260 is an abundant number, since it is smaller than the sum of its proper divisors (305760921876).

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

140256478260 is a wasteful number, since it uses less digits than its factorization.

140256478260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186095 (or 1186084 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 140256478260 in words is "one hundred forty billion, two hundred fifty-six million, four hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 365 405 438 540 657 730 810 876 1095 1314 1460 1620 1971 2190 2628 3285 3942 4380 5913 6570 7884 9855 11826 13140 19710 23652 29565 39420 59130 118260 1186001 2372002 3558003 4744004 5930005 7116006 10674009 11860010 14232012 17790015 21348018 23720020 32022027 35580030 42696036 53370045 64044054 71160060 86578073 96066081 106740090 128088108 160110135 173156146 192132162 213480180 259734219 320220270 346312292 384264324 432890365 480330405 519468438 640440540 779202657 865780730 960660810 1038936876 1298671095 1558405314 1731561460 1921321620 2337607971 2597342190 3116810628 3896013285 4675215942 5194684380 7012823913 7792026570 9350431884 11688039855 14025647826 15584053140 23376079710 28051295652 35064119565 46752159420 70128239130 140256478260