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14402112074136 = 23322331280546051
BaseRepresentation
bin1101000110010100000011…
…0001100011000110011000
31212222211100221201210210100
43101211000301203012120
53341431011142333021
650344123340215400
73014342522524113
oct321450061430630
955884327653710
1014402112074136
1146529a08925a6
12174728623a560
13806162019aa7
1437b0ccd4157a
1519e972e46626
hexd1940c63198

14402112074136 has 96 divisors (see below), whose sum is σ = 42014576747520. Its totient is φ = 4443849432000.

The previous prime is 14402112074107. The next prime is 14402112074153. The reversal of 14402112074136 is 63147021120441.

14402112074136 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 211 + 20 + 7 + 413 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14402112074136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140221690 + ... + 140324361.

It is an arithmetic number, because the mean of its divisors is an integer number (437651841120).

Almost surely, 214402112074136 is an apocalyptic number.

It is an amenable number.

14402112074136 is an abundant number, since it is smaller than the sum of its proper divisors (27612464673384).

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

14402112074136 is a wasteful number, since it uses less digits than its factorization.

14402112074136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280546117 (or 280546110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14402112074136 its reverse (63147021120441), we get a palindrome (77549133194577).

The spelling of 14402112074136 in words is "fourteen trillion, four hundred two billion, one hundred twelve million, seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 2139 2232 2852 4278 5704 6417 8556 12834 17112 25668 51336 280546051 561092102 841638153 1122184204 1683276306 2244368408 2524914459 3366552612 5049828918 6452559173 6733105224 8696927581 10099657836 12905118346 17393855162 19357677519 20199315672 25810236692 26090782743 34787710324 38715355038 51620473384 52181565486 58073032557 69575420648 77430710076 78272348229 104363130972 116146065114 154861420152 156544696458 200029334363 208726261944 232292130228 313089392916 400058668726 464584260456 600088003089 626178785832 800117337452 1200176006178 1600234674904 1800264009267 2400352012356 3600528018534 4800704024712 7201056037068 14402112074136