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14428686840 = 2335281449953
BaseRepresentation
bin11010111000000010…
…00100100111111000
31101020120010020100220
431130001010213320
5214022220434330
610343424500040
71020361546251
oct153401044770
941216106326
1014428686840
116134687a87
12296817a620
13148c385829
149ac3c7b28
15596ab1710
hex35c0449f8

14428686840 has 128 divisors (see below), whose sum is σ = 43582536000. Its totient is φ = 3821404160.

The previous prime is 14428686821. The next prime is 14428686863. The reversal of 14428686840 is 4868682441.

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, 15139804 + ... + 15140756.

Almost surely, 214428686840 is an apocalyptic number.

14428686840 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 14428686840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21791268000).

14428686840 is an abundant number, since it is smaller than the sum of its proper divisors (29153849160).

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

14428686840 is a wasteful number, since it uses less digits than its factorization.

14428686840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 14428686840 in words is "fourteen billion, four hundred twenty-eight million, six hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 449 562 843 898 953 1124 1347 1405 1686 1796 1906 2245 2248 2694 2810 2859 3372 3592 3812 4215 4490 4765 5388 5620 5718 6735 6744 7624 8430 8980 9530 10776 11240 11436 13470 14295 16860 17960 19060 22872 26940 28590 33720 38120 53880 57180 114360 126169 252338 267793 378507 427897 504676 535586 630845 757014 803379 855794 1009352 1071172 1261690 1283691 1338965 1514028 1606758 1711588 1892535 2139485 2142344 2523380 2567382 2677930 3028056 3213516 3423176 3785070 4016895 4278970 5046760 5134764 5355860 6418455 6427032 7570140 8033790 8557940 10269528 10711720 12836910 15140280 16067580 17115880 25673820 32135160 51347640 120239057 240478114 360717171 480956228 601195285 721434342 961912456 1202390570 1442868684 1803585855 2404781140 2885737368 3607171710 4809562280 7214343420 14428686840