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21418140360 = 2335180199103
BaseRepresentation
bin10011111100100111…
…101110001011001000
32001021200000021002210
4103330213232023020
5322331020442420
613501145025120
71355522121621
oct237447561310
961250007083
1021418140360
1190a0a88951
124198a851a0
132034438246
14107279aa48
158554e59e0
hex4fc9ee2c8

21418140360 has 64 divisors (see below), whose sum is σ = 64290746880. Its totient is φ = 5708275200.

The previous prime is 21418140349. The next prime is 21418140439. The reversal of 21418140360 is 6304181412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166569 + ... + 265671.

It is an arithmetic number, because the mean of its divisors is an integer number (1004542920).

Almost surely, 221418140360 is an apocalyptic number.

21418140360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21418140360 is an abundant number, since it is smaller than the sum of its proper divisors (42872606520).

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

21418140360 is a wasteful number, since it uses less digits than its factorization.

21418140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100918 (or 100914 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

It can be divided in two parts, 214181 and 40360, that added together give a triangular number (254541 = T713).

The spelling of 21418140360 in words is "twenty-one billion, four hundred eighteen million, one hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1801 3602 5403 7204 9005 10806 14408 18010 21612 27015 36020 43224 54030 72040 99103 108060 198206 216120 297309 396412 495515 594618 792824 991030 1189236 1486545 1982060 2378472 2973090 3964120 5946180 11892360 178484503 356969006 535453509 713938012 892422515 1070907018 1427876024 1784845030 2141814036 2677267545 3569690060 4283628072 5354535090 7139380120 10709070180 21418140360