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40761134730 = 23252937422089
BaseRepresentation
bin100101111101100011…
…011000111010001010
310220012201021012001200
4211331203120322022
51131434322302410
630420404325030
72642045633331
oct457543307212
9126181235050
1040761134730
1116317663908
127a969a3776
133ac7978244
141d896dad18
1510d87333c0
hex97d8d8e8a

40761134730 has 96 divisors (see below), whose sum is σ = 112596728400. Its totient is φ = 10211152896.

The previous prime is 40761134707. The next prime is 40761134731. The reversal of 40761134730 is 3743116704.

40761134730 is a `hidden beast` number, since 4 + 0 + 7 + 611 + 3 + 4 + 7 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15870708441 + 24890426289 = 125979^2 + 157767^2 .

It is a super-2 number, since 2×407611347302 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40761134731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114475 + ... + 307614.

Almost surely, 240761134730 is an apocalyptic number.

40761134730 is an abundant number, since it is smaller than the sum of its proper divisors (71835593670).

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

40761134730 is a wasteful number, since it uses less digits than its factorization.

40761134730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422168 (or 422165 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 40761134730 in words is "forty billion, seven hundred sixty-one million, one hundred thirty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 422089 844178 1266267 2110445 2532534 3798801 4220890 6331335 7597602 12240581 12662670 15617293 18994005 24481162 31234586 36721743 37988010 46851879 61202905 73443486 78086465 93703758 110165229 122405810 140555637 156172930 183608715 220330458 234259395 281111274 367217430 452901497 468518790 550826145 702778185 905802994 1101652290 1358704491 1405556370 2264507485 2717408982 4076113473 4529014970 6793522455 8152226946 13587044910 20380567365 40761134730