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140104515068100 = 2232521114151971219
BaseRepresentation
bin11111110110110010011111…
…110110100010000011000100
3200101001212020112210002220100
4133312302133312202003010
5121330433021324134400
61213551043051404100
741340134330513322
oct3766623766420304
9611055215702810
10140104515068100
1140706a9a269890
121386923a753630
136023a5077126b
142685147c5ad12
15112e68ecde100
hex7f6c9fda20c4

140104515068100 has 108 divisors (see below), whose sum is σ = 479072529739440. Its totient is φ = 33964730923200.

The previous prime is 140104515068039. The next prime is 140104515068117. The reversal of 140104515068100 is 1860515401041.

140104515068100 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 45 + 1 + 506 + 8 + 100 = 666.

It is a super-2 number, since 2×1401045150681002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7075975710 + ... + 7075995509.

Almost surely, 2140104515068100 is an apocalyptic number.

140104515068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140104515068100 is an abundant number, since it is smaller than the sum of its proper divisors (338968014671340).

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

140104515068100 is a wasteful number, since it uses less digits than its factorization.

140104515068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151971250 (or 14151971240 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 140104515068100 in words is "one hundred forty trillion, one hundred four billion, five hundred fifteen million, sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 14151971219 28303942438 42455913657 56607884876 70759856095 84911827314 127367740971 141519712190 155671683409 169823654628 212279568285 254735481942 283039424380 311343366818 353799280475 424559136570 467015050227 509470963884 622686733636 636838704855 707598560950 778358417045 849118273140 934030100454 1061397841425 1273677409710 1401045150681 1415197121900 1556716834090 1868060200908 2122795682850 2335075251135 2547354819420 2802090301362 3113433668180 3184193524275 3891792085225 4245591365700 4670150502270 5604180602724 6368387048550 7005225753405 7783584170450 9340301004540 11675376255675 12736774097100 14010451506810 15567168340900 23350752511350 28020903013620 35026128767025 46701505022700 70052257534050 140104515068100