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45313041345 = 35112132147727
BaseRepresentation
bin101010001100110111…
…100010001111000001
311022221221111000001120
4222030313202033001
51220300114310340
632452211422453
73162620332155
oct521467421701
9138857430046
1045313041345
1118243037700
1289472b4a29
134371a26c00
14229c079065
1512a31764d0
hexa8cde23c1

45313041345 has 72 divisors (see below), whose sum is σ = 86293243008. Its totient is φ = 20279825280.

The previous prime is 45313041329. The next prime is 45313041419. The reversal of 45313041345 is 54314031354.

It is not a de Polignac number, because 45313041345 - 24 = 45313041329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232872 + ... + 380598.

It is an arithmetic number, because the mean of its divisors is an integer number (1198517264).

Almost surely, 245313041345 is an apocalyptic number.

It is an amenable number.

45313041345 is a deficient number, since it is larger than the sum of its proper divisors (40980201663).

45313041345 is a wasteful number, since it uses less digits than its factorization.

45313041345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147783 (or 147759 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 45313041345 its reverse (54314031354), we get a palindrome (99627072699).

Subtracting 45313041345 from its reverse (54314031354), we obtain a palindrome (9000990009).

The spelling of 45313041345 in words is "forty-five billion, three hundred thirteen million, forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 169 195 363 429 507 605 715 845 1573 1815 1859 2145 2535 4719 5577 7865 9295 20449 23595 27885 61347 102245 147727 306735 443181 738635 1624997 1920451 2215905 4874991 5761353 8124985 9602255 17874967 21124961 24374955 24965863 28806765 53624901 63374883 74897589 89374835 105624805 124829315 232374571 268124505 274624493 316874415 374487945 697123713 823873479 1161872855 1373122465 3020869423 3485618565 4119367395 9062608269 15104347115 45313041345