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41134033668 = 223713169922171
BaseRepresentation
bin100110010011110001…
…111000101100000100
310221011200221102020110
4212103301320230010
51133220303034133
630521405033020
72654224342260
oct462361705404
9127150842213
1041134033668
11164990a9352
127b7b855770
133b56cbb1c0
141dc30490a0
15110b341c63
hex993c78b04

41134033668 has 96 divisors (see below), whose sum is σ = 118203366400. Its totient is φ = 10841662080.

The previous prime is 41134033537. The next prime is 41134033751. The reversal of 41134033668 is 86633043114.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844223 + ... + 1866393.

Almost surely, 241134033668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41134033668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59101683200).

41134033668 is an abundant number, since it is smaller than the sum of its proper divisors (77069332732).

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

41134033668 is a wasteful number, since it uses less digits than its factorization.

41134033668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23897 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 41134033668 in words is "forty-one billion, one hundred thirty-four million, thirty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1699 3398 5097 6796 10194 11893 20388 22087 22171 23786 35679 44174 44342 47572 66261 66513 71358 88348 88684 132522 133026 142716 154609 155197 265044 266052 288223 309218 310394 463827 465591 576446 618436 620788 864669 927654 931182 1152892 1729338 1855308 1862364 2017561 3458676 4035122 6052683 8070244 12105366 24210732 37668529 75337058 113005587 150674116 226011174 263679703 452022348 489690877 527359406 791039109 979381754 1054718812 1469072631 1582078218 1958763508 2938145262 3164156436 3427836139 5876290524 6855672278 10283508417 13711344556 20567016834 41134033668