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14292807220440 = 2332575671748897
BaseRepresentation
bin1100111111111100110110…
…1100100111110011011000
31212121101020022100220212200
43033333031230213303120
53333133132122023230
650222005222010200
73003423041561220
oct317771554476330
955541208326780
1014292807220440
114610600077171
12172a060276960
137c8a6284cc78
14375ac01d1080
1519bbc6db3160
hexcffcdb27cd8

14292807220440 has 96 divisors (see below), whose sum is σ = 53087569685280. Its totient is φ = 3266927364096.

The previous prime is 14292807220427. The next prime is 14292807220469. The reversal of 14292807220440 is 4402270829241.

14292807220440 is a `hidden beast` number, since 1 + 42 + 9 + 2 + 80 + 72 + 20 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2835871929 + ... + 2835876968.

It is an arithmetic number, because the mean of its divisors is an integer number (552995517555).

Almost surely, 214292807220440 is an apocalyptic number.

14292807220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14292807220440 is an abundant number, since it is smaller than the sum of its proper divisors (38794762464840).

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

14292807220440 is a wasteful number, since it uses less digits than its factorization.

14292807220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671748921 (or 5671748914 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14292807220440 in words is "fourteen trillion, two hundred ninety-two billion, eight hundred seven million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5671748897 11343497794 17015246691 22686995588 28358744485 34030493382 39702242279 45373991176 51045740073 56717488970 68060986764 79404484558 85076233455 102091480146 113434977940 119106726837 136121973528 158808969116 170152466910 198511211395 204182960292 226869955880 238213453674 255228700365 317617938232 340304933820 357320180511 397022422790 408365920584 476426907348 510457400730 595533634185 680609867640 714640361022 794044845580 952853814696 1020914801460 1191067268370 1429280722044 1588089691160 1786600902555 2041829602920 2382134536740 2858561444088 3573201805110 4764269073480 7146403610220 14292807220440