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45040020435 = 345317150527
BaseRepresentation
bin101001111100100110…
…000010101111010011
311022020220202002210000
4221330212002233103
51214220221123220
632405135541043
73153063566634
oct517446025723
9138226662700
1045040020435
1118112a0aa93
12888b98a783
13432a2b4087
142273ac988b
1512891e6390
hexa7c982bd3

45040020435 has 80 divisors (see below), whose sum is σ = 84518387712. Its totient is φ = 22918593600.

The previous prime is 45040020433. The next prime is 45040020463. The reversal of 45040020435 is 53402004054.

45040020435 is a `hidden beast` number, since 4 + 50 + 400 + 204 + 3 + 5 = 666.

It is not a de Polignac number, because 45040020435 - 21 = 45040020433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45040020399 and 45040020408.

It is not an unprimeable number, because it can be changed into a prime (45040020433) 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 79 ways as a sum of consecutive naturals, for example, 866142 + ... + 916668.

Almost surely, 245040020435 is an apocalyptic number.

45040020435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45040020435 is a deficient number, since it is larger than the sum of its proper divisors (39478367277).

45040020435 is a wasteful number, since it uses less digits than its factorization.

45040020435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50646 (or 50637 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45040020435 its reverse (53402004054), we get a palindrome (98442024489).

The spelling of 45040020435 in words is "forty-five billion, forty million, twenty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 71 81 93 135 155 213 279 355 405 465 639 837 1065 1395 1917 2201 2511 3195 4185 5751 6603 9585 11005 12555 19809 28755 33015 50527 59427 99045 151581 178281 252635 297135 454743 757905 891405 1364229 1566337 2273715 3587417 4092687 4699011 6821145 7831685 10762251 14097033 17937085 20463435 23495055 32286753 42291099 53811255 70485165 96860259 111209927 126873297 161433765 211455495 290580777 333629781 484301295 556049635 634366485 1000889343 1452903885 1668148905 3002668029 5004446715 9008004087 15013340145 45040020435