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140230024120100 = 22525323111605199
BaseRepresentation
bin11111111000100111011000…
…110001100100011100100100
3200101111212012111012120000202
4133320213120301210130210
5121340012042133320400
61214124441142130032
741352166503040655
oct3770473061443444
9611455174176022
10140230024120100
1140755245910242
1213889627420918
1360328330bb4c5
14268b252ad552c
151132a887514d5
hex7f89d8c64724

140230024120100 has 108 divisors (see below), whose sum is σ = 311146433270400. Its totient is φ = 54856678531200.

The previous prime is 140230024120061. The next prime is 140230024120181. The reversal of 140230024120100 is 1021420032041.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 86557301 + ... + 88162499.

Almost surely, 2140230024120100 is an apocalyptic number.

140230024120100 is a gapful number since it is divisible by the number (10) 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 140230024120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155573216635200).

140230024120100 is an abundant number, since it is smaller than the sum of its proper divisors (170916409150300).

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

140230024120100 is a wasteful number, since it uses less digits than its factorization.

140230024120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605630 (or 1605570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140230024120100 its reverse (1021420032041), we get a palindrome (141251444152141).

The spelling of 140230024120100 in words is "one hundred forty trillion, two hundred thirty billion, twenty-four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 311 530 622 1060 1244 1325 1555 2650 2809 3110 5300 5618 6220 7775 11236 14045 15550 16483 28090 31100 32966 56180 65932 70225 82415 140450 164830 280900 329660 412075 824150 873599 1605199 1648300 1747198 3210398 3494396 4367995 6420796 8025995 8735990 16051990 17471980 21839975 32103980 40129975 43679950 80259950 85075547 87359900 160519900 170151094 340302188 425377735 499216889 850755470 998433778 1701510940 1996867556 2126888675 2496084445 4253777350 4509003991 4992168890 8507554700 9018007982 9984337780 12480422225 18036015964 22545019955 24960844450 26458495117 45090039910 49921688900 52916990234 90180079820 105833980468 112725099775 132292475585 225450199550 264584951170 450900399100 529169902340 661462377925 1322924755850 1402300241201 2645849511700 2804600482402 5609200964804 7011501206005 14023002412010 28046004824020 35057506030025 70115012060050 140230024120100