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14030459680 = 2554311318047
BaseRepresentation
bin11010001000100011…
…11101001100100000
31100012210210012101211
431010101331030200
5212213244202210
610240121235504
71004454640156
oct150421751440
940183705354
1014030459680
115a4a913026
122876932b94
131427a15163
149715653d6
15571b4d38a
hex34447d320

14030459680 has 96 divisors (see below), whose sum is σ = 34219874304. Its totient is φ = 5432856576.

The previous prime is 14030459657. The next prime is 14030459687. The reversal of 14030459680 is 8695403041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14030459687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768417 + ... + 786463.

It is an arithmetic number, because the mean of its divisors is an integer number (356457024).

Almost surely, 214030459680 is an apocalyptic number.

14030459680 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 14030459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109937152).

14030459680 is an abundant number, since it is smaller than the sum of its proper divisors (20189414624).

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

14030459680 is a wasteful number, since it uses less digits than its factorization.

14030459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18218 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 14030459680 in words is "fourteen billion, thirty million, four hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 113 160 172 215 226 344 430 452 565 688 860 904 1130 1376 1720 1808 2260 3440 3616 4520 4859 6880 9040 9718 18047 18080 19436 24295 36094 38872 48590 72188 77744 90235 97180 144376 155488 180470 194360 288752 360940 388720 577504 721880 776021 777440 1443760 1552042 2039311 2887520 3104084 3880105 4078622 6208168 7760210 8157244 10196555 12416336 15520420 16314488 20393110 24832672 31040840 32628976 40786220 62081680 65257952 81572440 87690373 124163360 163144880 175380746 326289760 350761492 438451865 701522984 876903730 1403045968 1753807460 2806091936 3507614920 7015229840 14030459680