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40136634540 = 22335557313337
BaseRepresentation
bin100101011000010101…
…000111000010101100
310211121012011021212000
4211120111013002230
51124144434301130
630234415212300
72620423523142
oct453025070254
9124535137760
1040136634540
11160270a1652
127941817090
133a28481ac2
141d2a7b7592
15109d9c6260
hex9585470ac

40136634540 has 96 divisors (see below), whose sum is σ = 124901300160. Its totient is φ = 10700379648.

The previous prime is 40136634533. The next prime is 40136634547. The reversal of 40136634540 is 4543663104.

40136634540 is a `hidden beast` number, since 4 + 0 + 13 + 6 + 634 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40136634533) and next prime (40136634547).

It is a super-2 number, since 2×401366345402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40136634495 and 40136634504.

It is not an unprimeable number, because it can be changed into a prime (40136634547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002752 + ... + 3016088.

It is an arithmetic number, because the mean of its divisors is an integer number (1301055210).

Almost surely, 240136634540 is an apocalyptic number.

It is an amenable number.

40136634540 is an abundant number, since it is smaller than the sum of its proper divisors (84764665620).

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

40136634540 is a wasteful number, since it uses less digits than its factorization.

40136634540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18928 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40136634540 in words is "forty billion, one hundred thirty-six million, six hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5573 11146 13337 16719 22292 26674 27865 33438 40011 50157 53348 55730 66685 66876 80022 83595 100314 111460 120033 133370 150471 160044 167190 200055 200628 240066 250785 266740 300942 334380 360099 400110 480132 501570 600165 601884 720198 752355 800220 1003140 1200330 1440396 1504710 1800495 2400660 3009420 3600990 7201980 74327101 148654202 222981303 297308404 371635505 445962606 668943909 743271010 891925212 1114906515 1337887818 1486542020 2006831727 2229813030 2675775636 3344719545 4013663454 4459626060 6689439090 8027326908 10034158635 13378878180 20068317270 40136634540