Search a number
-
+
40265598960 = 243456213827
BaseRepresentation
bin100101100000000001…
…000100011111110000
310211221011211100210000
4211200001010133300
51124430443131320
630255303310000
72623550641536
oct454001043760
9124834740700
1040265598960
1116092976514
127978a4b300
133a490c7102
141d3d988156
1510a9e9cc90
hex9600447f0

40265598960 has 100 divisors (see below), whose sum is σ = 139848412968. Its totient is φ = 10737491328.

The previous prime is 40265598889. The next prime is 40265598977. The reversal of 40265598960 is 6989556204.

It is a happy number.

40265598960 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 559 + 89 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40265598897 and 40265598906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3100434 + ... + 3113393.

Almost surely, 240265598960 is an apocalyptic number.

40265598960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40265598960 is an abundant number, since it is smaller than the sum of its proper divisors (99582814008).

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

40265598960 is a wasteful number, since it uses less digits than its factorization.

40265598960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213852 (or 6213837 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 40265598960 in words is "forty billion, two hundred sixty-five million, five hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6213827 12427654 18641481 24855308 31069135 37282962 49710616 55924443 62138270 74565924 93207405 99421232 111848886 124276540 149131848 167773329 186414810 223697772 248553080 279622215 298263696 335546658 372829620 447395544 497106160 503319987 559244430 671093316 745659240 838866645 894791088 1006639974 1118488860 1342186632 1491318480 1677733290 2013279948 2236977720 2516599935 2684373264 3355466580 4026559896 4473955440 5033199870 6710933160 8053119792 10066399740 13421866320 20132799480 40265598960