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13922705217420 = 22325121291637709
BaseRepresentation
bin1100101010011010000111…
…1001100001011110001100
31211021222221021011011102100
43022212201321201132030
53311102200013424140
645340000311355100
72634611420502156
oct312464171413614
954258837134370
1013922705217420
11448864a14948a
12168a391982a90
1379cba04115cc
14361c10ac3ad6
15192265195530
hexca9a1e6178c

13922705217420 has 72 divisors (see below), whose sum is σ = 42232620240720. Its totient is φ = 3712684959360.

The previous prime is 13922705217397. The next prime is 13922705217427. The reversal of 13922705217420 is 2471250722931.

13922705217420 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 2 + 7 + 0 + 5 + 217 + 420 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13922705217427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21513526 + ... + 22151234.

It is an arithmetic number, because the mean of its divisors is an integer number (586564170010).

Almost surely, 213922705217420 is an apocalyptic number.

13922705217420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13922705217420 is an abundant number, since it is smaller than the sum of its proper divisors (28309915023300).

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

13922705217420 is a wasteful number, since it uses less digits than its factorization.

13922705217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759015 (or 759010 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13922705217420 in words is "thirteen trillion, nine hundred twenty-two billion, seven hundred five million, two hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 121291 242582 363873 485164 606455 637709 727746 1091619 1212910 1275418 1455492 1819365 1913127 2183238 2425820 2550836 3188545 3638730 3826254 4366476 5458095 5739381 6377090 7277460 7652508 9565635 10916190 11478762 12754180 19131270 21832380 22957524 28696905 38262540 57393810 114787620 77348362319 154696724638 232045086957 309393449276 386741811595 464090173914 696135260871 773483623190 928180347828 1160225434785 1392270521742 1546967246380 2320450869570 2784541043484 3480676304355 4640901739140 6961352608710 13922705217420