Search a number
-
+
40204664352 = 2532178211737
BaseRepresentation
bin100101011100011000…
…100111111000100000
310211202221011120012200
4211130120213320200
51124314343224402
630245245253200
72622211002606
oct453430477040
9124687146180
1040204664352
1116061537436
127960564200
133a395b0928
141d35845876
1510a496321c
hex95c627e20

40204664352 has 72 divisors (see below), whose sum is σ = 121057441596. Its totient is φ = 12613226496.

The previous prime is 40204664333. The next prime is 40204664359. The reversal of 40204664352 is 25346640204.

40204664352 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 6 + 643 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40174590096 + 30074256 = 200436^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (40204664359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4100973 + ... + 4110764.

Almost surely, 240204664352 is an apocalyptic number.

It is an amenable number.

40204664352 is an abundant number, since it is smaller than the sum of its proper divisors (80852777244).

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

40204664352 is a wasteful number, since it uses less digits than its factorization.

40204664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211770 (or 8211759 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 40204664352 in words is "forty billion, two hundred four million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 8211737 16423474 24635211 32846948 49270422 65693896 73905633 98540844 131387792 139599529 147811266 197081688 262775584 279199058 295622532 394163376 418798587 558398116 591245064 788326752 837597174 1116796232 1182490128 1256395761 1675194348 2233592464 2364980256 2512791522 3350388696 4467184928 5025583044 6700777392 10051166088 13401554784 20102332176 40204664352