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14214849840 = 2433517473767
BaseRepresentation
bin11010011110100010…
…10110010100110000
31100200122202012011000
431033101112110300
5213103000143330
610310305322000
71012154141622
oct151721262460
940618665130
1014214849840
116034a04094
122908636300
131456c95369
1498bc42c12
15582e22560
hex34f456530

14214849840 has 160 divisors (see below), whose sum is σ = 49003292160. Its totient is φ = 3787451136.

The previous prime is 14214849823. The next prime is 14214849907. The reversal of 14214849840 is 4894841241.

14214849840 is a `hidden beast` number, since 1 + 42 + 1 + 484 + 98 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3771637 + ... + 3775403.

It is an arithmetic number, because the mean of its divisors is an integer number (306270576).

Almost surely, 214214849840 is an apocalyptic number.

14214849840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214849840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24501646080).

14214849840 is an abundant number, since it is smaller than the sum of its proper divisors (34788442320).

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

14214849840 is a wasteful number, since it uses less digits than its factorization.

14214849840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14214849840 in words is "fourteen billion, two hundred fourteen million, eight hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1747 2160 3494 3767 5241 6988 7534 8735 10482 11301 13976 15068 15723 17470 18835 20964 22602 26205 27952 30136 31446 33903 34940 37670 41928 45204 47169 52410 56505 60272 62892 67806 69880 75340 78615 83856 90408 94338 101709 104820 113010 125784 135612 139760 150680 157230 169515 180816 188676 203418 209640 226020 235845 251568 271224 301360 314460 339030 377352 406836 419280 452040 471690 508545 542448 628920 678060 754704 813672 904080 943380 1017090 1257840 1356120 1627344 1886760 2034180 2712240 3773520 4068360 6580949 8136720 13161898 19742847 26323796 32904745 39485694 52647592 59228541 65809490 78971388 98714235 105295184 118457082 131618980 157942776 177685623 197428470 236914164 263237960 296142705 315885552 355371246 394856940 473828328 526475920 592285410 710742492 789713880 888428115 947656656 1184570820 1421484984 1579427760 1776856230 2369141640 2842969968 3553712460 4738283280 7107424920 14214849840