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14314391760 = 2435196151461
BaseRepresentation
bin11010101010011010…
…00100100011010000
31100221121001102222210
431111031010203100
5213303441014020
610324223032120
71014503215404
oct152515044320
940847042883
1014314391760
116086112439
122935a3b640
1314717a84c6
1499b155104
1558ba363e0
hex3553448d0

14314391760 has 160 divisors (see below), whose sum is σ = 47476782720. Its totient is φ = 3556915200.

The previous prime is 14314391759. The next prime is 14314391771. The reversal of 14314391760 is 6719341341.

It is a happy number.

It is a super-2 number, since 2×143143917602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 252430 + ... + 303890.

It is an arithmetic number, because the mean of its divisors is an integer number (296729892).

Almost surely, 214314391760 is an apocalyptic number.

14314391760 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 14314391760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738391360).

14314391760 is an abundant number, since it is smaller than the sum of its proper divisors (33162390960).

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

14314391760 is a wasteful number, since it uses less digits than its factorization.

14314391760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51557 (or 51551 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 14314391760 in words is "fourteen billion, three hundred fourteen million, three hundred ninety-one 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 61 76 80 95 114 120 122 152 183 190 228 240 244 285 304 305 366 380 456 488 570 610 732 760 912 915 976 1140 1159 1220 1464 1520 1830 2280 2318 2440 2928 3477 3660 4560 4636 4880 5795 6954 7320 9272 11590 13908 14640 17385 18544 23180 27816 34770 46360 51461 55632 69540 92720 102922 139080 154383 205844 257305 278160 308766 411688 514610 617532 771915 823376 977759 1029220 1235064 1543830 1955518 2058440 2470128 2933277 3087660 3139121 3911036 4116880 4888795 5866554 6175320 6278242 7822072 9417363 9777590 11733108 12350640 12556484 14666385 15644144 15695605 18834726 19555180 23466216 25112968 29332770 31391210 37669452 39110360 46932432 47086815 50225936 58665540 59643299 62782420 75338904 78220720 94173630 117331080 119286598 125564840 150677808 178929897 188347260 234662160 238573196 251129680 298216495 357859794 376694520 477146392 596432990 715719588 753389040 894649485 954292784 1192865980 1431439176 1789298970 2385731960 2862878352 3578597940 4771463920 7157195880 14314391760