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10140032324640 = 253522939212851
BaseRepresentation
bin1001001110001110100100…
…0001100101010000100000
31022220101012021202101122110
42103203221001211100200
52312113241233342030
633322133323435320
72064410311433451
oct223435101452040
938811167671573
1010140032324640
11325a3aa996139
121179258385b40
1358727c62760a
14270accb73128
15128b738ec1b0
hex938e9065420

10140032324640 has 96 divisors (see below), whose sum is σ = 31955035121856. Its totient is φ = 2702829081600.

The previous prime is 10140032324603. The next prime is 10140032324663. The reversal of 10140032324640 is 4642323004101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101400323246402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10140032324598 and 10140032324607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505786 + ... + 5707065.

It is an arithmetic number, because the mean of its divisors is an integer number (332864949186).

Almost surely, 210140032324640 is an apocalyptic number.

10140032324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140032324640 is an abundant number, since it is smaller than the sum of its proper divisors (21815002797216).

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

10140032324640 is a wasteful number, since it uses less digits than its factorization.

10140032324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215162 (or 9215154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10140032324640 its reverse (4642323004101), we get a palindrome (14782355328741).

The spelling of 10140032324640 in words is "ten trillion, one hundred forty billion, thirty-two million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2293 4586 6879 9172 11465 13758 18344 22930 27516 34395 36688 45860 55032 68790 73376 91720 110064 137580 183440 220128 275160 366880 550320 1100640 9212851 18425702 27638553 36851404 46064255 55277106 73702808 92128510 110554212 138192765 147405616 184257020 221108424 276385530 294811232 368514040 442216848 552771060 737028080 884433696 1105542120 1474056160 2211084240 4422168480 21125067343 42250134686 63375202029 84500269372 105625336715 126750404058 169000538744 211250673430 253500808116 316876010145 338001077488 422501346860 507001616232 633752020290 676002154976 845002693720 1014003232464 1267504040580 1690005387440 2028006464928 2535008081160 3380010774880 5070016162320 10140032324640