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41864091129042 = 237131719237381299
BaseRepresentation
bin10011000010011001111100…
…10001111101010011010010
312111020011112111020212112020
421201030332101331103102
520441400124312112132
6225012033054312310
711550403130153310
oct1141147621752322
9174204474225466
1041864091129042
11123805090585a6
12484165b4b8696
131a489c7a17360
14a4a338c130b0
154c8eab24e52c
hex26133e47d4d2

41864091129042 has 128 divisors (see below), whose sum is σ = 114854568192000. Its totient is φ = 9844677190656.

The previous prime is 41864091129041. The next prime is 41864091129101. The reversal of 41864091129042 is 24092119046814.

41864091129042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (41864091129041) 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 63 ways as a sum of consecutive naturals, for example, 118514292 + ... + 118867007.

It is an arithmetic number, because the mean of its divisors is an integer number (897301314000).

Almost surely, 241864091129042 is an apocalyptic number.

41864091129042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41864091129042 is an abundant number, since it is smaller than the sum of its proper divisors (72990477062958).

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

41864091129042 is a wasteful number, since it uses less digits than its factorization.

41864091129042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237381360.

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 41864091129042 in words is "forty-one trillion, eight hundred sixty-four billion, ninety-one million, one hundred twenty-nine thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 17 19 21 26 34 38 39 42 51 57 78 91 102 114 119 133 182 221 238 247 266 273 323 357 399 442 494 546 646 663 714 741 798 969 1326 1482 1547 1729 1938 2261 3094 3458 4199 4522 4641 5187 6783 8398 9282 10374 12597 13566 25194 29393 58786 88179 176358 237381299 474762598 712143897 1424287794 1661669093 3085956887 3323338186 4035482083 4510244681 4985007279 6171913774 8070964166 9020489362 9257870661 9970014558 12106446249 13530734043 18515741322 21601698209 24212892498 27061468086 28248374581 31571712767 43203396418 52461267079 56496749162 58633180853 63143425534 64805094627 76674159577 84745123743 94715138301 104922534158 117266361706 129610189254 153348319154 157383801237 169490247486 175899542559 189430276602 230022478731 314767602474 351799085118 367228869553 410432265971 460044957462 536719117039 734457739106 820864531942 996764074501 1073438234078 1101686608659 1231296797913 1610157351117 1993528149002 2203373217318 2462593595826 2990292223503 3220314702234 5980584447006 6977348521507 13954697043014 20932045564521 41864091129042