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40395675240 = 2334512467801
BaseRepresentation
bin100101100111110001…
…010001011001101000
310212021020120220220000
4211213301101121220
51130212243101430
630320231303000
72630020400634
oct454761213150
9125236526800
1040395675240
111614a33a778
1279b451aa60
133a6a03b51b
141d52d67dc4
1510b65e3e60
hex967c51668

40395675240 has 80 divisors (see below), whose sum is σ = 135774363780. Its totient is φ = 10772179200.

The previous prime is 40395675239. The next prime is 40395675253. The reversal of 40395675240 is 4257659304.

40395675240 is a `hidden beast` number, since 4 + 0 + 39 + 567 + 52 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34633954404 + 5761720836 = 186102^2 + 75906^2 .

It is a super-3 number, since 3×403956752403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6230661 + ... + 6237140.

Almost surely, 240395675240 is an apocalyptic number.

40395675240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40395675240 is an abundant number, since it is smaller than the sum of its proper divisors (95378688540).

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

40395675240 is a wasteful number, since it uses less digits than its factorization.

40395675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467824 (or 12467811 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 40395675240 in words is "forty billion, three hundred ninety-five million, six hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 12467801 24935602 37403403 49871204 62339005 74806806 99742408 112210209 124678010 149613612 187017015 224420418 249356020 299227224 336630627 374034030 448840836 498712040 561051045 673261254 748068060 897681672 1009891881 1122102090 1346522508 1496136120 1683153135 2019783762 2244204180 2693045016 3366306270 4039567524 4488408360 5049459405 6732612540 8079135048 10098918810 13465225080 20197837620 40395675240