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14104301414320 = 2451317381196661
BaseRepresentation
bin1100110100111110100111…
…1000000010011110110000
31211221100200000102210011201
43031033221320002132300
53322041102130224240
645555232052220544
72654000510632435
oct315175170023660
954840600383151
1014104301414320
1145486674a4a57
1216b961200a754
137b4050959860
1436a91a8a3b8c
15196d42a9ad9a
hexcd3e9e027b0

14104301414320 has 160 divisors (see below), whose sum is σ = 35563298428224. Its totient is φ = 5171201740800.

The previous prime is 14104301414297. The next prime is 14104301414327. The reversal of 14104301414320 is 2341410340141.

14104301414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14104301414327) 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, 145866790 + ... + 145963450.

Almost surely, 214104301414320 is an apocalyptic number.

14104301414320 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 14104301414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781649214112).

14104301414320 is an abundant number, since it is smaller than the sum of its proper divisors (21458997013904).

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

14104301414320 is a wasteful number, since it uses less digits than its factorization.

14104301414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97671 (or 97665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14104301414320 its reverse (2341410340141), we get a palindrome (16445711754461).

The spelling of 14104301414320 in words is "fourteen trillion, one hundred four billion, three hundred one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 208 260 346 520 692 811 865 1040 1384 1622 1730 2249 2768 3244 3460 4055 4498 6488 6920 8110 8996 10543 11245 12976 13840 16220 17992 21086 22490 32440 35984 42172 44980 52715 64880 84344 89960 96661 105430 140303 168688 179920 193322 210860 280606 386644 421720 483305 561212 701515 773288 843440 966610 1122424 1256593 1403030 1546576 1823939 1933220 2244848 2513186 2806060 3647878 3866440 5026372 5612120 6282965 7295756 7732880 9119695 10052744 11224240 12565930 14591512 16722353 18239390 20105488 25131860 29183024 33444706 36478780 50263720 66889412 72957560 78392071 83611765 100527440 133778824 145915120 156784142 167223530 217390589 267557648 313568284 334447060 391960355 434781178 627136568 668894120 783920710 869562356 1019096923 1086952945 1254273136 1337788240 1567841420 1739124712 2038193846 2173905890 3135682840 3478249424 4076387692 4347811780 5095484615 6271365680 8152775384 8695623560 10190969230 13561828283 16305550768 17391247120 20381938460 27123656566 40763876920 54247313132 67809141415 81527753840 108494626264 135618282830 176303767679 216989252528 271236565660 352607535358 542473131320 705215070716 881518838395 1084946262640 1410430141432 1763037676790 2820860282864 3526075353580 7052150707160 14104301414320