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14218849680 = 2435727131231
BaseRepresentation
bin11010011111000001…
…00110110110010000
31100200221021101220020
431033200212312100
5213110011142210
610310531143440
71012233141150
oct151740466620
940627241806
1014218849680
116037196242
122909a44b80
131457a65b29
1498c5a4760
15583462770
hex34f826d90

14218849680 has 160 divisors (see below), whose sum is σ = 50562859008. Its totient is φ = 3237926400.

The previous prime is 14218849627. The next prime is 14218849693. The reversal of 14218849680 is 8694881241.

It is a super-2 number, since 2×142188496802 (a number of 21 digits) contains 22 as substring.

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, 439665 + ... + 470895.

Almost surely, 214218849680 is an apocalyptic number.

14218849680 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 14218849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25281429504).

14218849680 is an abundant number, since it is smaller than the sum of its proper divisors (36344009328).

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

14218849680 is a wasteful number, since it uses less digits than its factorization.

14218849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31525 (or 31519 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 14218849680 in words is "fourteen billion, two hundred eighteen million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 271 280 336 420 542 560 813 840 1084 1355 1626 1680 1897 2168 2710 3252 3794 4065 4336 5420 5691 6504 7588 8130 9485 10840 11382 13008 15176 16260 18970 21680 22764 28455 30352 31231 32520 37940 45528 56910 62462 65040 75880 91056 93693 113820 124924 151760 156155 187386 218617 227640 249848 312310 374772 437234 455280 468465 499696 624620 655851 749544 874468 936930 1093085 1249240 1311702 1499088 1748936 1873860 2186170 2498480 2623404 3279255 3497872 3747720 4372340 5246808 6558510 7495440 8463601 8744680 10493616 13117020 16927202 17489360 25390803 26234040 33854404 42318005 50781606 52468080 59245207 67708808 84636010 101563212 118490414 126954015 135417616 169272020 177735621 203126424 236980828 253908030 296226035 338544040 355471242 406252848 473961656 507816060 592452070 677088080 710942484 888678105 947923312 1015632120 1184904140 1421884968 1777356210 2031264240 2369808280 2843769936 3554712420 4739616560 7109424840 14218849680