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40969806976 = 277313347421
BaseRepresentation
bin100110001001111111…
…011010010010000000
310220202020220211120101
4212021333122102000
51132401232310401
630453221052144
72650161420250
oct461177322200
9126666824511
1040969806976
111641442a40a
127b34857054
133b2bc7a947
141da92d9960
1510ebc02101
hex989fda480

40969806976 has 128 divisors (see below), whose sum is σ = 94070079360. Its totient is φ = 17410498560.

The previous prime is 40969806971. The next prime is 40969806991. The reversal of 40969806976 is 67960896904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (40969806971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97315246 + ... + 97315666.

It is an arithmetic number, because the mean of its divisors is an integer number (734922495).

Almost surely, 240969806976 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 40969806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47035039680).

40969806976 is an abundant number, since it is smaller than the sum of its proper divisors (53100272384).

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

40969806976 is a wasteful number, since it uses less digits than its factorization.

40969806976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 40969806976 in words is "forty billion, nine hundred sixty-nine million, eight hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 313 347 421 448 626 694 842 896 1252 1388 1684 2191 2429 2504 2776 2947 3368 4382 4858 5008 5552 5894 6736 8764 9716 10016 11104 11788 13472 17528 19432 20032 22208 23576 26944 35056 38864 40064 44416 47152 53888 70112 77728 94304 108611 131773 140224 146087 155456 188608 217222 263546 280448 292174 310912 377216 434444 527092 584348 760277 868888 922411 1022609 1054184 1168696 1520554 1737776 1844822 2045218 2108368 2337392 3041108 3475552 3689644 4090436 4216736 4674784 6082216 6951104 7379288 8180872 8433472 9349568 12164432 13902208 14758576 16361744 16866944 18699136 24328864 29517152 32723488 45725231 48657728 59034304 65446976 91450462 97315456 118068608 130893952 182900924 320076617 365801848 640153234 731603696 1280306468 1463207392 2560612936 2926414784 5121225872 5852829568 10242451744 20484903488 40969806976