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414230563043052 = 223725013197150131
BaseRepresentation
bin101111000101111011001000…
…1100100001011011011101100
32000022200001111011020012122020
41132023312101210023123230
5413243223143114334202
64024554521004150140
7153152112335662620
oct13613662144133354
92008601434205566
10414230563043052
1110aa94216962048
123a5607a9538350
1314a19a0b712112
147440c1acc9180
1532d514a7475bc
hex178bd9190b6ec

414230563043052 has 48 divisors (see below), whose sum is σ = 1104659002013952. Its totient is φ = 118346857237440.

The previous prime is 414230563043039. The next prime is 414230563043069. The reversal of 414230563043052 is 250340365032414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 414230563042995 and 414230563043013.

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, 96473974 + ... + 100676157.

It is an arithmetic number, because the mean of its divisors is an integer number (23013729208624).

Almost surely, 2414230563043052 is an apocalyptic number.

414230563043052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414230563043052 is an abundant number, since it is smaller than the sum of its proper divisors (690428438970900).

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

414230563043052 is a wasteful number, since it uses less digits than its factorization.

414230563043052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197175158 (or 197175156 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 414230563043052 in words is "four hundred fourteen trillion, two hundred thirty billion, five hundred sixty-three million, forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 25013 50026 75039 100052 150078 175091 300156 350182 525273 700364 1050546 2101092 197150131 394300262 591450393 788600524 1182900786 1380050917 2365801572 2760101834 4140152751 5520203668 8280305502 16560611004 4931316226703 9862632453406 14793948680109 19725264906812 29587897360218 34519213586921 59175794720436 69038427173842 103557640760763 138076854347684 207115281521526 414230563043052