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40074434596 = 22727921812
BaseRepresentation
bin100101010100100111…
…110101100000100100
310211102212010012120101
4211110213311200210
51124033023401341
630224314113444
72616040034200
oct452447654044
9124385105511
1040074434596
1115aa4a78939
127924a1b884
133a186146c1
141d22425b00
1510982db831
hex9549f5824

40074434596 has 81 divisors (see below), whose sum is σ = 83084848497. Its totient is φ = 16863668640.

The previous prime is 40074434591. The next prime is 40074434623. The reversal of 40074434596 is 69543447004.

The square root of 40074434596 is 200186.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 441588196 + 39632846400 = 21014^2 + 199080^2 .

It is not an unprimeable number, because it can be changed into a prime (40074434591) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221405626 + ... + 221405806.

Almost surely, 240074434596 is an apocalyptic number.

40074434596 is the 200186-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40074434596

40074434596 is an abundant number, since it is smaller than the sum of its proper divisors (43010413901).

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

40074434596 is an equidigital number, since it uses as much as digits as its factorization.

40074434596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 40074434596 in words is "forty billion, seventy-four million, four hundred thirty-four thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 79 98 158 181 196 316 362 553 724 1106 1267 2212 2534 3871 5068 6241 7742 8869 12482 14299 15484 17738 24964 28598 32761 35476 43687 57196 65522 87374 100093 131044 174748 200186 229327 305809 400372 458654 611618 700651 917308 1129621 1223236 1401302 1605289 2259242 2588119 2802604 3210578 4518484 5176238 6421156 7907347 10352476 15814694 18116833 31629388 36233666 55351429 72467332 110702858 126817831 204461401 221405716 253635662 408922802 507271324 817845604 1431229807 2862459614 5724919228 10018608649 20037217298 40074434596