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4102144412058 = 23271117210241177
BaseRepresentation
bin111011101100011010110…
…111000100100110011010
3112112011100111102110111200
4323230122313010212122
51014202142432141213
612420255451135030
7602240651120610
oct73543267044632
915464314373450
104102144412058
11134178963a240
12563033a44476
13239aa4975b44
1410278b0cb6b0
1571a8d5d1273
hex3bb1adc499a

4102144412058 has 144 divisors (see below), whose sum is σ = 11771291922624. Its totient is φ = 1002815953920.

The previous prime is 4102144412057. The next prime is 4102144412087. The reversal of 4102144412058 is 8502144412014.

4102144412058 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 1 + 4 + 441 + 205 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4102144412057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4720035 + ... + 5521142.

It is an arithmetic number, because the mean of its divisors is an integer number (81745082796).

Almost surely, 24102144412058 is an apocalyptic number.

4102144412058 is an abundant number, since it is smaller than the sum of its proper divisors (7669147510566).

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

4102144412058 is a wasteful number, since it uses less digits than its factorization.

4102144412058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241237 (or 10241217 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 4102144412058 in words is "four trillion, one hundred two billion, one hundred forty-four million, four hundred twelve thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 289 306 357 374 462 561 578 693 714 867 1071 1122 1309 1386 1683 1734 2023 2142 2601 2618 3179 3366 3927 4046 5202 6069 6358 7854 9537 11781 12138 18207 19074 22253 23562 28611 36414 44506 57222 66759 133518 200277 400554 10241177 20482354 30723531 61447062 71688239 92170593 112652947 143376478 174100009 184341186 215064717 225305894 337958841 348200018 430129434 522300027 645194151 675917682 788570629 1013876523 1044600054 1218700063 1290388302 1566900081 1577141258 1915100099 2027753046 2365711887 2437400126 2959700153 3133800162 3656100189 3830200198 4731423774 5745300297 5919400306 7097135661 7312200378 8879100459 10968300567 11490600594 13405700693 14194271322 17235900891 17758200918 20717901071 21936601134 26637301377 26811401386 32556701683 34471801782 40217102079 41435802142 53274602754 62153703213 65113403366 80434204158 97670105049 120651306237 124307406426 186461109639 195340210098 227896911781 241302612474 293010315147 372922219278 455793823562 586020630294 683690735343 1367381470686 2051072206029 4102144412058