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14001675776 = 291119235689
BaseRepresentation
bin11010000101001000…
…01001111000000000
31100010210121211022022
431002210021320000
5212133412111101
610233212301012
71003655165114
oct150244117000
940123554268
1014001675776
115a35643280
122869171768
131421a7786a
1496b7d1744
1556e364a1b
hex342909e00

14001675776 has 160 divisors (see below), whose sum is σ = 33528211200. Its totient is φ = 5766266880.

The previous prime is 14001675763. The next prime is 14001675811. The reversal of 14001675776 is 67757610041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458340 + ... + 2464028.

It is an arithmetic number, because the mean of its divisors is an integer number (209551320).

Almost surely, 214001675776 is an apocalyptic number.

14001675776 is a gapful number since it is divisible by the number (16) 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 14001675776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764105600).

14001675776 is an abundant number, since it is smaller than the sum of its proper divisors (19526535424).

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

14001675776 is a wasteful number, since it uses less digits than its factorization.

14001675776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 14001675776 in words is "fourteen billion, one million, six hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 128 152 176 184 209 253 256 304 352 368 418 437 506 512 608 704 736 836 874 1012 1216 1408 1472 1672 1748 2024 2432 2816 2944 3344 3496 4048 4807 4864 5632 5689 5888 6688 6992 8096 9614 9728 11378 11776 13376 13984 16192 19228 22756 26752 27968 32384 38456 45512 53504 55936 62579 64768 76912 91024 107008 108091 111872 125158 129536 130847 153824 182048 216182 223744 250316 261694 307648 364096 432364 500632 523388 615296 728192 864728 1001264 1046776 1189001 1230592 1439317 1456384 1729456 2002528 2093552 2378002 2461184 2486093 2878634 2912768 3458912 4005056 4187104 4756004 4972186 5757268 6917824 8010112 8374208 9512008 9944372 11514536 13835648 16020224 16748416 19024016 19888744 23029072 27347023 27671296 32040448 33496832 38048032 39777488 46058144 54694046 55342592 66993664 76096064 79554976 92116288 109388092 152192128 159109952 184232576 218776184 304384256 318219904 368465152 437552368 608768512 636439808 736930304 875104736 1272879616 1750209472 3500418944 7000837888 14001675776