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14129939760 = 24351915120521
BaseRepresentation
bin11010010100011010…
…11100010100110000
31100110201222022102020
431022031130110300
5212414231033020
610254033351440
71010103335436
oct151215342460
940421868366
1014129939760
115aa0a89972
1228a4108580
131442506101
1498085cd56
1557a74dc40
hex34a35c530

14129939760 has 160 divisors (see below), whose sum is σ = 46415838720. Its totient is φ = 3545856000.

The previous prime is 14129939753. The next prime is 14129939767. The reversal of 14129939760 is 6793992141.

It is an interprime number because it is at equal distance from previous prime (14129939753) and next prime (14129939767).

It is not an unprimeable number, because it can be changed into a prime (14129939767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678300 + ... + 698820.

It is an arithmetic number, because the mean of its divisors is an integer number (290098992).

Almost surely, 214129939760 is an apocalyptic number.

14129939760 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 14129939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207919360).

14129939760 is an abundant number, since it is smaller than the sum of its proper divisors (32285898960).

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

14129939760 is a wasteful number, since it uses less digits than its factorization.

14129939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707 (or 20701 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 14129939760 in words is "fourteen billion, one hundred twenty-nine million, nine hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 151 152 190 228 240 285 302 304 380 453 456 570 604 755 760 906 912 1140 1208 1510 1520 1812 2265 2280 2416 2869 3020 3624 4530 4560 5738 6040 7248 8607 9060 11476 12080 14345 17214 18120 20521 22952 28690 34428 36240 41042 43035 45904 57380 61563 68856 82084 86070 102605 114760 123126 137712 164168 172140 205210 229520 246252 307815 328336 344280 389899 410420 492504 615630 688560 779798 820840 985008 1169697 1231260 1559596 1641680 1949495 2339394 2462520 3098671 3119192 3898990 4678788 4925040 5848485 6197342 6238384 7797980 9296013 9357576 11696970 12394684 15493355 15595960 18592026 18715152 23393940 24789368 30986710 31191920 37184052 46480065 46787880 49578736 58874749 61973420 74368104 92960130 93575760 117749498 123946840 148736208 176624247 185920260 235498996 247893680 294373745 353248494 371840520 470997992 588747490 706496988 743681040 883121235 941995984 1177494980 1412993976 1766242470 2354989960 2825987952 3532484940 4709979920 7064969880 14129939760