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123316645622144 = 2713376569304907
BaseRepresentation
bin11100000010011111100100…
…110110110111000110000000
3121011121221211001122120000112
4130002133210312313012000
5112130404442234402034
61114134515051010452
734655222302625342
oct3402374466670600
9534557731576015
10123316645622144
11363243286604a7
12119b7713139a28
1353a692c521b20
1422647b3a9b292
15e3cb37a7e7ce
hex7027e4db7180

123316645622144 has 128 divisors (see below), whose sum is σ = 271760292669600. Its totient is φ = 55368509865984.

The previous prime is 123316645622143. The next prime is 123316645622147. The reversal of 123316645622144 is 441226546613321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 123316645622092 and 123316645622101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123316645622143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404287739 + ... + 404592645.

Almost surely, 2123316645622144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123316645622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135880146334800).

123316645622144 is an abundant number, since it is smaller than the sum of its proper divisors (148443647047456).

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

123316645622144 is a wasteful number, since it uses less digits than its factorization.

123316645622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311540 (or 311528 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The spelling of 123316645622144 in words is "one hundred twenty-three trillion, three hundred sixteen billion, six hundred forty-five million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3848 4736 6569 7696 13138 15392 26276 30784 52552 61568 85397 105104 170794 210208 243053 304907 341588 420416 486106 609814 683176 840832 972212 1219628 1366352 1944424 2439256 2732704 3159689 3888848 3963791 4878512 5465408 6319378 7777696 7927582 9757024 10930816 11281559 12638756 15555392 15855164 19514048 22563118 25277512 31110784 31710328 39028096 45126236 50555024 63420656 90252472 101110048 126841312 146660267 180504944 202220096 253682624 293320534 361009888 404440192 507365248 586641068 722019776 1173282136 1444039552 2002934083 2346564272 4005868166 4693128544 8011736332 9386257088 16023472664 18772514176 26038143079 32046945328 52076286158 64093890656 74108561071 104152572316 128187781312 148217122142 208305144632 256375562624 296434244284 416610289264 592868488568 833220578528 963411293923 1185736977136 1666441157056 1926822587846 2371473954272 3332882314112 3853645175692 4742947908544 7707290351384 9485895817088 15414580702768 30829161405536 61658322811072 123316645622144