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14012322131040 = 2535291006632337
BaseRepresentation
bin1100101111100111111101…
…1110111010110001100000
31211121120020211012001211020
43023321333132322301200
53314034213431143130
645445101045045440
72644233255626622
oct313717736726140
954546224161736
1014012322131040
1145126575a7062
1216a38223b6880
137a8482a6494c
143662b2b80c12
1519475ca9ee10
hexcbe7f7bac60

14012322131040 has 96 divisors (see below), whose sum is σ = 45660842851680. Its totient is φ = 3607770292224.

The previous prime is 14012322131029. The next prime is 14012322131077. The reversal of 14012322131040 is 4013122321041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×140123221310403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14012322131040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503302249 + ... + 503330088.

It is an arithmetic number, because the mean of its divisors is an integer number (475633779705).

Almost surely, 214012322131040 is an apocalyptic number.

14012322131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012322131040 is an abundant number, since it is smaller than the sum of its proper divisors (31648520720640).

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

14012322131040 is a wasteful number, since it uses less digits than its factorization.

14012322131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006632384 (or 1006632376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14012322131040 its reverse (4013122321041), we get a palindrome (18025444452081).

The spelling of 14012322131040 in words is "fourteen trillion, twelve billion, three hundred twenty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 1006632337 2013264674 3019897011 4026529348 5033161685 6039794022 8053058696 10066323370 12079588044 15099485055 16106117392 20132646740 24159176088 29192337773 30198970110 32212234784 40265293480 48318352176 58384675546 60397940220 80530586960 87577013319 96636704352 116769351092 120795880440 145961688865 161061173920 175154026638 233538702184 241591760880 291923377730 350308053276 437885066595 467077404368 483183521760 583846755460 700616106552 875770133190 934154808736 1167693510920 1401232213104 1751540266380 2335387021840 2802464426208 3503080532760 4670774043680 7006161065520 14012322131040