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40804925472 = 25357337159
BaseRepresentation
bin100110000000001010…
…011100000000100000
310220022202122222200000
4212000022130000200
51132032030103342
630425011100000
72643120100203
oct460012340040
9126282588600
1040804925472
111633a353503
127aa95a1600
133b03a6b31c
141d9145993a
1510dc4d344c
hex98029c020

40804925472 has 144 divisors (see below), whose sum is σ = 120517750080. Its totient is φ = 13581188352.

The previous prime is 40804925471. The next prime is 40804925479. The reversal of 40804925472 is 27452940804.

40804925472 is a `hidden beast` number, since 40 + 8 + 0 + 492 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40804925471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5696229 + ... + 5703387.

It is an arithmetic number, because the mean of its divisors is an integer number (836928820).

Almost surely, 240804925472 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 40804925472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60258875040).

40804925472 is an abundant number, since it is smaller than the sum of its proper divisors (79712824608).

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

40804925472 is an equidigital number, since it uses as much as digits as its factorization.

40804925472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40804925472 in words is "forty billion, eight hundred four million, nine hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 733 864 972 1296 1466 1944 2199 2592 2932 3888 4398 5864 6597 7159 7776 8796 11728 13194 14318 17592 19791 21477 23456 26388 28636 35184 39582 42954 52776 57272 59373 64431 70368 79164 85908 105552 114544 118746 128862 158328 171816 178119 193293 211104 229088 237492 257724 316656 343632 356238 386586 474984 515448 579879 633312 687264 712476 773172 949968 1030896 1159758 1424952 1546344 1739637 1899936 2061792 2319516 2849904 3092688 3479274 4639032 5247547 5699808 6185376 6958548 9278064 10495094 13917096 15742641 18556128 20990188 27834192 31485282 41980376 47227923 55668384 62970564 83960752 94455846 125941128 141683769 167921504 188911692 251882256 283367538 377823384 425051307 503764512 566735076 755646768 850102614 1133470152 1275153921 1511293536 1700205228 2266940304 2550307842 3400410456 4533880608 5100615684 6800820912 10201231368 13601641824 20402462736 40804925472