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4136106304134 = 2327719400111411
BaseRepresentation
bin111100001100000011001…
…001011010001010000110
3112122102000100201100002100
4330030003021122022012
51020231221203213014
612444033452252530
7604552366335330
oct74140311321206
915572010640070
104136106304134
1113551271a9442
12569731771146
13240057aa907c
1410428d7aa450
15728c9e54009
hex3c30325a286

4136106304134 has 96 divisors (see below), whose sum is σ = 10259493903360. Its totient is φ = 1179702720000.

The previous prime is 4136106304133. The next prime is 4136106304157. The reversal of 4136106304134 is 4314036016314.

4136106304134 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 1 + 0 + 630 + 4 + 13 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136106304133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362460889 + ... + 362472299.

It is an arithmetic number, because the mean of its divisors is an integer number (106869728160).

Almost surely, 24136106304134 is an apocalyptic number.

4136106304134 is an abundant number, since it is smaller than the sum of its proper divisors (6123387599226).

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

4136106304134 is a wasteful number, since it uses less digits than its factorization.

4136106304134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16146 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4136106304134 in words is "four trillion, one hundred thirty-six billion, one hundred six million, three hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 719 1438 2157 4001 4314 5033 6471 8002 10066 11411 12003 12942 15099 22822 24006 28007 30198 34233 36009 45297 56014 68466 72018 79877 84021 90594 102699 159754 168042 205398 239631 252063 479262 504126 718893 1437786 2876719 5753438 8204509 8630157 16409018 17260314 20137033 24613527 25890471 40274066 45655411 49227054 51780942 57431563 60411099 73840581 91310822 114863126 120822198 136966233 147681162 172294689 181233297 273932466 319587877 344589378 362466594 410898699 516884067 639175754 821797398 958763631 1033768134 1917527262 2876290893 5752581786 32826240509 65652481018 98478721527 196957443054 229783683563 295436164581 459567367126 590872329162 689351050689 1378702101378 2068053152067 4136106304134