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14017671216 = 2433137239991
BaseRepresentation
bin11010000111000010…
…01011000000110000
31100011220201110221000
431003201023000300
5212202010434331
610234543202000
71004241145053
oct150341130060
940156643830
1014017671216
115a4367894a
1228725a6300
131425188313
1496d996a9a
155709740e6
hex34384b030

14017671216 has 160 divisors (see below), whose sum is σ = 40740249600. Its totient is φ = 4614382080.

The previous prime is 14017671193. The next prime is 14017671221. The reversal of 14017671216 is 61217671041.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14144481 + ... + 14145471.

It is an arithmetic number, because the mean of its divisors is an integer number (254626560).

Almost surely, 214017671216 is an apocalyptic number.

14017671216 is a gapful number since it is divisible by the number (16) 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 14017671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370124800).

14017671216 is an abundant number, since it is smaller than the sum of its proper divisors (26722578384).

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

14017671216 is a wasteful number, since it uses less digits than its factorization.

14017671216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 14017671216 in words is "fourteen billion, seventeen million, six hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 239 274 411 432 478 548 717 822 956 991 1096 1233 1434 1644 1912 1982 2151 2192 2466 2868 2973 3288 3699 3824 3964 4302 4932 5736 5946 6453 6576 7398 7928 8604 8919 9864 11472 11892 12906 14796 15856 17208 17838 19728 23784 25812 26757 29592 32743 34416 35676 47568 51624 53514 59184 65486 71352 98229 103248 107028 130972 135767 142704 196458 214056 236849 261944 271534 294687 392916 407301 428112 473698 523888 543068 589374 710547 785832 814602 884061 947396 1086136 1178748 1221903 1421094 1571664 1629204 1768122 1894792 2131641 2172272 2357496 2443806 2842188 3258408 3536244 3665709 3789584 4263282 4714992 4887612 5684376 6394923 6516816 7072488 7331418 8526564 9775224 11368752 12789846 14144976 14662836 17053128 19550448 25579692 29325672 32448313 34106256 51159384 58651344 64896626 97344939 102318768 129793252 194689878 259586504 292034817 389379756 519173008 584069634 778759512 876104451 1168139268 1557519024 1752208902 2336278536 3504417804 4672557072 7008835608 14017671216