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41134033408 = 291317363529
BaseRepresentation
bin100110010011110001…
…111000101000000000
310221011200221101212211
4212103301320220000
51133220303032113
630521405031504
72654224341436
oct462361705000
9127150841784
1041134033408
11164990a9136
127b7b855594
133b56cbb050
141dc3048d56
15110b341b3d
hex993c78a00

41134033408 has 80 divisors (see below), whose sum is σ = 93716579880. Its totient is φ = 17868128256.

The previous prime is 41134033397. The next prime is 41134033417. The reversal of 41134033408 is 80433043114.

It can be written as a sum of positive squares in 4 ways, for example, as 29216381184 + 11917652224 = 170928^2 + 109168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41134033408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68613 + ... + 294916.

Almost surely, 241134033408 is an apocalyptic number.

It is an amenable number.

41134033408 is an abundant number, since it is smaller than the sum of its proper divisors (52582546472).

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

41134033408 is a wasteful number, since it uses less digits than its factorization.

41134033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363577 (or 363561 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 41134033408 in words is "forty-one billion, one hundred thirty-four million, thirty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1088 1664 1768 2176 3328 3536 4352 6656 7072 8704 14144 28288 56576 113152 363529 727058 1454116 2908232 4725877 5816464 6179993 9451754 11632928 12359986 18903508 23265856 24719972 37807016 46531712 49439944 75614032 80339909 93063424 98879888 151228064 160679818 186126848 197759776 302456128 321359636 395519552 604912256 642719272 791039104 1209824512 1285438544 1582078208 2419649024 2570877088 3164156416 5141754176 10283508352 20567016704 41134033408