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14400131424012 = 22321031092326869
BaseRepresentation
bin1101000110001100101010…
…1101111101111100001100
31212222122020220210100121100
43101203022231331330030
53341412432121032022
650343155024103100
73014242452343005
oct321431255757414
955878226710540
1014400131424012
114652074861874
121746a12a64a90
13805c07888c79
1437ad81c821ac
1519e8a91071ac
hexd18cab7df0c

14400131424012 has 108 divisors (see below), whose sum is σ = 37094130680880. Its totient is φ = 4709817477504.

The previous prime is 14400131423959. The next prime is 14400131424023. The reversal of 14400131424012 is 21042413100441.

14400131424012 is a `hidden beast` number, since 1 + 4 + 400 + 1 + 3 + 1 + 4 + 240 + 12 = 666.

It is a super-2 number, since 2×144001314240122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43891314 + ... + 44218182.

Almost surely, 214400131424012 is an apocalyptic number.

14400131424012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14400131424012 is an abundant number, since it is smaller than the sum of its proper divisors (22693999256868).

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

14400131424012 is a wasteful number, since it uses less digits than its factorization.

14400131424012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327200 (or 327086 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14400131424012 its reverse (21042413100441), we get a palindrome (35442544524453).

The spelling of 14400131424012 in words is "fourteen trillion, four hundred billion, one hundred thirty-one million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 109 206 218 309 327 412 436 618 654 927 981 1236 1308 1854 1962 3708 3924 11227 11881 22454 23762 33681 35643 44908 47524 67362 71286 101043 106929 134724 142572 202086 213858 326869 404172 427716 653738 980607 1223743 1307476 1961214 2447486 2941821 3671229 3922428 4894972 5883642 7342458 11013687 11767284 14684916 22027374 33667507 35628721 44054748 67335014 71257442 101002521 106886163 134670028 142514884 202005042 213772326 303007563 320658489 404010084 427544652 606015126 641316978 1212030252 1282633956 3669758263 3883530589 7339516526 7767061178 11009274789 11650591767 14679033052 15534122356 22018549578 23301183534 33027824367 34951775301 44037099156 46602367068 66055648734 69903550602 132111297468 139807101204 400003650667 800007301334 1200010952001 1600014602668 2400021904002 3600032856003 4800043808004 7200065712006 14400131424012