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45311201424 = 24321607319577
BaseRepresentation
bin101010001100110000…
…100001000010010000
311022221211000112011100
4222030300201002100
51220244131421144
632452104144400
73162565600026
oct521460410220
9138854015140
1045311201424
1118241aa0305
128946768100
1343715315b8
14229bb1a716
1512a2e11269
hexa8cc21090

45311201424 has 60 divisors (see below), whose sum is σ = 126822799116. Its totient is φ = 15102022656.

The previous prime is 45311201417. The next prime is 45311201477. The reversal of 45311201424 is 42410211354.

45311201424 is a `hidden beast` number, since 4 + 5 + 31 + 1 + 201 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27363776400 + 17947425024 = 165420^2 + 133968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304724 + ... + 2324300.

Almost surely, 245311201424 is an apocalyptic number.

It is an amenable number.

45311201424 is an abundant number, since it is smaller than the sum of its proper divisors (81511597692).

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

45311201424 is a wasteful number, since it uses less digits than its factorization.

45311201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35664 (or 35655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45311201424 its reverse (42410211354), we get a palindrome (87721412778).

The spelling of 45311201424 in words is "forty-five billion, three hundred eleven million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16073 19577 32146 39154 48219 58731 64292 78308 96438 117462 128584 144657 156616 176193 192876 234924 257168 289314 313232 352386 385752 469848 578628 704772 771504 939696 1157256 1409544 2314512 2819088 314661121 629322242 943983363 1258644484 1887966726 2517288968 2831950089 3775933452 5034577936 5663900178 7551866904 11327800356 15103733808 22655600712 45311201424