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14071757296158 = 234727271943943
BaseRepresentation
bin1100110011000101011000…
…0110000101001000011110
31211211020122221221021210000
43030301112012011020132
53321022424331434113
645532250454555130
72651436156325452
oct314612606051036
954736587837700
1014071757296158
114535887164331
1216b324b068aa6
137b0c654891c3
14369110602662
1519608a92e373
hexccc5618521e

14071757296158 has 80 divisors (see below), whose sum is σ = 31586862827520. Its totient is φ = 4682304492624.

The previous prime is 14071757296153. The next prime is 14071757296183. The reversal of 14071757296158 is 85169275717041.

14071757296158 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 7 + 5 + 7 + 2 + 9 + 615 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14071757296095 and 14071757296104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071757296153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320205535 + ... + 320249477.

It is an arithmetic number, because the mean of its divisors is an integer number (394835785344).

Almost surely, 214071757296158 is an apocalyptic number.

14071757296158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14071757296158 is an abundant number, since it is smaller than the sum of its proper divisors (17515105531362).

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

14071757296158 is a wasteful number, since it uses less digits than its factorization.

14071757296158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47403 (or 47394 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 14071757296158 in words is "fourteen trillion, seventy-one billion, seven hundred fifty-seven million, two hundred ninety-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 727 1454 2181 2719 4362 5438 6543 8157 13086 16314 19629 24471 39258 43943 48942 58887 73413 87886 117774 131829 146826 220239 263658 395487 440478 790974 1186461 1976713 2372922 3559383 3953426 5930139 7118766 11860278 17790417 31946561 35580834 53371251 63893122 95839683 106742502 119481017 160113753 191679366 238962034 287519049 320227506 358443051 575038098 716886102 862557147 1075329153 1725114294 2150658306 2587671441 3225987459 5175342882 6451974918 9677962377 19355924754 86862699359 173725398718 260588098077 521176196154 781764294231 1563528588462 2345292882693 4690585765386 7035878648079 14071757296158