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14311111680 = 210325310571
BaseRepresentation
bin11010101010000001…
…00011110000000000
31100221100212210120100
431111000203300000
5213302121033210
610324024442400
71014433304445
oct152500436000
940840783510
1014311111680
116084282028
122934919400
131470bca528
1499a93d9cc
1558b5d95c0
hex355023c00

14311111680 has 132 divisors (see below), whose sum is σ = 49587788952. Its totient is φ = 3816284160.

The previous prime is 14311111679. The next prime is 14311111699. The reversal of 14311111680 is 8611111341.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 109206 + ... + 201365.

Almost surely, 214311111680 is an apocalyptic number.

14311111680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14311111680 is an abundant number, since it is smaller than the sum of its proper divisors (35276677272).

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

14311111680 is a wasteful number, since it uses less digits than its factorization.

14311111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310602 (or 310581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

It can be divided in two parts, 1431 and 1111680, that added together give a palindrome (1113111).

The spelling of 14311111680 in words is "fourteen billion, three hundred eleven million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 310571 621142 931713 1242284 1552855 1863426 2484568 2795139 3105710 3726852 4658565 4969136 5590278 6211420 7453704 9317130 9938272 11180556 12422840 13975695 14907408 18634260 19876544 22361112 24845680 27951390 29814816 37268520 39753088 44722224 49691360 55902780 59629632 74537040 79506176 89444448 99382720 111805560 119259264 149074080 159012352 178888896 198765440 223611120 238518528 298148160 318024704 357777792 397530880 447222240 477037056 596296320 715555584 795061760 894444480 954074112 1192592640 1431111168 1590123520 1788888960 2385185280 2862222336 3577777920 4770370560 7155555840 14311111680