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40936371048 = 23327917234177
BaseRepresentation
bin100110000111111111…
…110111001101101000
310220122221000010002200
4212013333313031220
51132314202333143
630450024300200
72646304261356
oct460777671550
9126587003080
1040936371048
11163a7572511
127b25611660
133b25071a81
141da4ab47d6
1510e8cea1d3
hex987ff7368

40936371048 has 96 divisors (see below), whose sum is σ = 112364803200. Its totient is φ = 13461686784.

The previous prime is 40936371019. The next prime is 40936371053. The reversal of 40936371048 is 84017363904.

40936371048 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 637 + 1 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40936370994 and 40936371012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9798336 + ... + 9802512.

It is an arithmetic number, because the mean of its divisors is an integer number (1170466700).

Almost surely, 240936371048 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 40936371048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56182401600).

40936371048 is an abundant number, since it is smaller than the sum of its proper divisors (71428432152).

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

40936371048 is a wasteful number, since it uses less digits than its factorization.

40936371048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40936371048 in words is "forty billion, nine hundred thirty-six million, three hundred seventy-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1723 1896 2844 3446 4177 5169 5688 6892 8354 10338 12531 13784 15507 16708 20676 25062 31014 33416 37593 41352 50124 62028 75186 100248 124056 136117 150372 272234 300744 329983 408351 544468 659966 816702 989949 1088936 1225053 1319932 1633404 1979898 2450106 2639864 2969847 3266808 3959796 4900212 5939694 7196971 7919592 9800424 11879388 14393942 21590913 23758776 28787884 43181826 57575768 64772739 86363652 129545478 172727304 259090956 518181912 568560709 1137121418 1705682127 2274242836 3411364254 4548485672 5117046381 6822728508 10234092762 13645457016 20468185524 40936371048