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144752362640 = 24525142117123
BaseRepresentation
bin1000011011001111101…
…0011100010010010000
3111211122001002220201022
42012303322130102100
54332423101101030
6150255345255012
713313045531654
oct2066372342220
9454561086638
10144752362640
1156430a31576
1224079334468
131085b3276b2
14701286aa64
153b7305dde5
hex21b3e9c490

144752362640 has 80 divisors (see below), whose sum is σ = 338712446016. Its totient is φ = 57529920000.

The previous prime is 144752362639. The next prime is 144752362661. The reversal of 144752362640 is 46263257441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144752362591 and 144752362600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8445119 + ... + 8462241.

Almost surely, 2144752362640 is an apocalyptic number.

144752362640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144752362640 is an abundant number, since it is smaller than the sum of its proper divisors (193960083376).

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

144752362640 is a wasteful number, since it uses less digits than its factorization.

144752362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17808 (or 17802 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 144752362640 in words is "one hundred forty-four billion, seven hundred fifty-two million, three hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 421 502 842 1004 1255 1684 2008 2105 2510 3368 4016 4210 5020 6736 8420 10040 16840 17123 20080 33680 34246 68492 85615 105671 136984 171230 211342 273968 342460 422684 528355 684920 845368 1056710 1369840 1690736 2113420 4226840 4297873 7208783 8453680 8595746 14417566 17191492 21489365 28835132 34382984 36043915 42978730 57670264 68765968 72087830 85957460 115340528 144175660 171914920 288351320 343829840 576702640 1809404533 3618809066 7237618132 9047022665 14475236264 18094045330 28950472528 36188090660 72376181320 144752362640