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1114145846748 = 22321119148078927
BaseRepresentation
bin10000001101101000010…
…001000111010111011100
310221111210201222020102200
4100031220101013113130
5121223232314043443
62211455340051500
7143331400304154
oct20155021072734
93844721866380
101114145846748
1139a563315030
1215bb19233b90
13810a96907ac
143bcd40a7764
151deac7e2dd3
hex103684475dc

1114145846748 has 72 divisors (see below), whose sum is σ = 3234043787520. Its totient is φ = 319850480160.

The previous prime is 1114145846743. The next prime is 1114145846819. The reversal of 1114145846748 is 8476485414111.

1114145846748 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 14 + 584 + 6 + 7 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1114145846694 and 1114145846703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114145846743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74031940 + ... + 74046987.

Almost surely, 21114145846748 is an apocalyptic number.

1114145846748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1114145846748 is an abundant number, since it is smaller than the sum of its proper divisors (2119897940772).

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

1114145846748 is a wasteful number, since it uses less digits than its factorization.

1114145846748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148078967 (or 148078962 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 1114145846748 in words is "one trillion, one hundred fourteen billion, one hundred forty-five million, eight hundred forty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 148078927 296157854 444236781 592315708 888473562 1332710343 1628868197 1776947124 2665420686 2813499613 3257736394 4886604591 5330841372 5626999226 6515472788 8440498839 9773209182 11253998452 14659813773 16880997678 19546418364 25321496517 29319627546 30948495743 33761995356 50642993034 58639255092 61896991486 92845487229 101285986068 123793982972 185690974458 278536461687 371381948916 557072923374 1114145846748