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144407573960 = 235131012749573
BaseRepresentation
bin1000011001111101011…
…1001011010111001000
3111210202000022211120012
42012133113023113020
54331221314331320
6150201231251052
713301361061106
oct2063727132710
9453660284505
10144407573960
1156274346751
1223ba1979a88
1310804a77520
146dbcb58c76
153b52b544c5
hex219f5cb5c8

144407573960 has 64 divisors (see below), whose sum is σ = 353375250480. Its totient is φ = 52791782400.

The previous prime is 144407573957. The next prime is 144407574037. The reversal of 144407573960 is 69375704441.

144407573960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24460334404 + 119947239556 = 156398^2 + 346334^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144407573899 and 144407573908.

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, 1322267 + ... + 1427306.

Almost surely, 2144407573960 is an apocalyptic number.

144407573960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144407573960 is an abundant number, since it is smaller than the sum of its proper divisors (208967676520).

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

144407573960 is a wasteful number, since it uses less digits than its factorization.

144407573960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749698 (or 2749694 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 144407573960 in words is "one hundred forty-four billion, four hundred seven million, five hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 26260 52520 2749573 5499146 10998292 13747865 21996584 27495730 35744449 54991460 71488898 109982920 142977796 178722245 277706873 285955592 357444490 555413746 714888980 1110827492 1388534365 1429777960 2221654984 2777068730 3610189349 5554137460 7220378698 11108274920 14440757396 18050946745 28881514792 36101893490 72203786980 144407573960