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144114314402142 = 23273136895625807
BaseRepresentation
bin100000110001001000111010…
…100001000101100101011110
3200220021012020100122120000100
4200301020322201011211132
5122342132103441332032
61230301111351241530
742232626025501440
oct4061107241054536
9626235210576010
10144114314402142
1141a125a0478127
12141b63a03792a6
136254bc97c89b6
142783254806490
15119db2621a97c
hex83123a84595e

144114314402142 has 48 divisors (see below), whose sum is σ = 368365928067072. Its totient is φ = 39847275870480.

The previous prime is 144114314402137. The next prime is 144114314402159. The reversal of 144114314402142 is 241204413411441.

144114314402142 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 431 + 4 + 4 + 0 + 214 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144114314402097 and 144114314402106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18447808998 + ... + 18447816809.

It is an arithmetic number, because the mean of its divisors is an integer number (7674290168064).

Almost surely, 2144114314402142 is an apocalyptic number.

144114314402142 is an abundant number, since it is smaller than the sum of its proper divisors (224251613664930).

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

144114314402142 is a wasteful number, since it uses less digits than its factorization.

144114314402142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36895625853 (or 36895625850 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144114314402142 its reverse (241204413411441), we get a palindrome (385318727813583).

The spelling of 144114314402142 in words is "one hundred forty-four trillion, one hundred fourteen billion, three hundred fourteen million, four hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 36895625807 73791251614 110686877421 221373754842 258269380649 332060632263 516538761298 664121264526 774808141947 1143764400017 1549616283894 2287528800034 2324424425841 3431293200051 4648848851682 6862586400102 8006350800119 10293879600153 16012701600238 20587759200306 24019052400357 48038104800714 72057157201071 144114314402142