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14038134827148 = 2234109397500703
BaseRepresentation
bin1100110001001000001000…
…0010100010100010001100
31211201000212202022220010000
43030102002002202202030
53320000100003432043
645505010300444300
72646136032133455
oct314220202424214
954630782286100
1014038134827148
1145225a3155763
1216a8826b49690
137aaa37777b23
1436764103a12c
1519526dca62d3
hexcc4820a288c

14038134827148 has 60 divisors (see below), whose sum is σ = 37035140591680. Its totient is φ = 4636448188128.

The previous prime is 14038134827107. The next prime is 14038134827149. The reversal of 14038134827148 is 84172843183041.

14038134827148 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 8 + 13 + 482 + 7 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14038134827094 and 14038134827103.

It is not an unprimeable number, because it can be changed into a prime (14038134827149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198715036 + ... + 198785667.

Almost surely, 214038134827148 is an apocalyptic number.

14038134827148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14038134827148 is an abundant number, since it is smaller than the sum of its proper divisors (22997005764532).

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

14038134827148 is a wasteful number, since it uses less digits than its factorization.

14038134827148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397500828 (or 397500817 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14038134827148 in words is "fourteen trillion, thirty-eight billion, one hundred thirty-four million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 17658 35316 397500703 795001406 1192502109 1590002812 2385004218 3577506327 4770008436 7155012654 10732518981 14310025308 21465037962 32197556943 42930075924 43327576627 64395113886 86655153254 128790227772 129982729881 173310306508 259965459762 389948189643 519930919524 779896379286 1169844568929 1559792758572 2339689137858 3509533706787 4679378275716 7019067413574 14038134827148