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139965812400 = 24352116638177
BaseRepresentation
bin1000001001011010011…
…1001100111010110000
3111101021110100222011210
42002112213030322300
54243122221444100
6144144401040120
713053324530001
oct2022647147260
9441243328153
10139965812400
11543a5063527
1223162326040
1310277781c4b
146abac8d1a8
153992c1bc50
hex20969cceb0

139965812400 has 60 divisors (see below), whose sum is σ = 448357156232. Its totient is φ = 37324216320.

The previous prime is 139965812381. The next prime is 139965812431. The reversal of 139965812400 is 4218569931.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 139965812400.

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 11 ways as a sum of consecutive naturals, for example, 58317889 + ... + 58320288.

Almost surely, 2139965812400 is an apocalyptic number.

139965812400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139965812400 is an abundant number, since it is smaller than the sum of its proper divisors (308391343832).

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

139965812400 is a wasteful number, since it uses less digits than its factorization.

139965812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116638198 (or 116638187 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 139965812400 in words is "one hundred thirty-nine billion, nine hundred sixty-five million, eight hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 116638177 233276354 349914531 466552708 583190885 699829062 933105416 1166381770 1399658124 1749572655 1866210832 2332763540 2799316248 2915954425 3499145310 4665527080 5598632496 5831908850 6998290620 8747863275 9331054160 11663817700 13996581240 17495726550 23327635400 27993162480 34991453100 46655270800 69982906200 139965812400