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123427056240 = 24325171426467
BaseRepresentation
bin111001011110011010…
…0110110101001110000
3102210120211210002212100
41302330310312221300
54010234311244430
6132411314100400
711626431445005
oct1627464665160
9383524702770
10123427056240
11483883a0204
121bb0757a700
13b8401c42b7
145d8c5578ac
153325ca4960
hex1cbcd36a70

123427056240 has 60 divisors (see below), whose sum is σ = 414509199624. Its totient is φ = 32913881472.

The previous prime is 123427056217. The next prime is 123427056257. The reversal of 123427056240 is 42650724321.

123427056240 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 27 + 0 + 5 + 624 + 0 = 666.

123427056240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 123427056195 and 123427056204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85712514 + ... + 85713953.

Almost surely, 2123427056240 is an apocalyptic number.

123427056240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123427056240 is an abundant number, since it is smaller than the sum of its proper divisors (291082143384).

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

123427056240 is a wasteful number, since it uses less digits than its factorization.

123427056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171426486 (or 171426477 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 123427056240 in words is "one hundred twenty-three billion, four hundred twenty-seven million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 171426467 342852934 514279401 685705868 857132335 1028558802 1371411736 1542838203 1714264670 2057117604 2571397005 2742823472 3085676406 3428529340 4114235208 5142794010 6171352812 6857058680 7714191015 8228470416 10285588020 12342705624 13714117360 15428382030 20571176040 24685411248 30856764060 41142352080 61713528120 123427056240