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45224450442 = 2332379460919
BaseRepresentation
bin101010000111100101…
…100101100110001010
311022201202210010012000
4222013211211212022
51220104424403232
632435324531430
73160463325513
oct520745454612
9138652703160
1045224450442
11181a8028a86
1289216b0b76
134359579462
1422903b7a0a
15129a4c727c
hexa8796598a

45224450442 has 64 divisors (see below), whose sum is σ = 106195968000. Its totient is φ = 14236835184.

The previous prime is 45224450441. The next prime is 45224450443. The reversal of 45224450442 is 24405442254.

45224450442 is a `hidden beast` number, since 4 + 522 + 44 + 50 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (45224450441) and next prime (45224450443).

It is a junction number, because it is equal to n+sod(n) for n = 45224450397 and 45224450406.

It is not an unprimeable number, because it can be changed into a prime (45224450441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132342 + ... + 328577.

It is an arithmetic number, because the mean of its divisors is an integer number (1659312000).

Almost surely, 245224450442 is an apocalyptic number.

45224450442 is an abundant number, since it is smaller than the sum of its proper divisors (60971517558).

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

45224450442 is a wasteful number, since it uses less digits than its factorization.

45224450442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461032 (or 461026 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 45224450442 its reverse (24405442254), we get a palindrome (69629892696).

The spelling of 45224450442 in words is "forty-five billion, two hundred twenty-four million, four hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 79 138 158 207 237 414 474 621 711 1242 1422 1817 2133 3634 4266 5451 10902 16353 32706 49059 98118 460919 921838 1382757 2765514 4148271 8296542 10601137 12444813 21202274 24889626 31803411 36412601 63606822 72825202 95410233 109237803 190820466 218475606 286230699 327713409 572461398 655426818 837489823 983140227 1674979646 1966280454 2512469469 5024938938 7537408407 15074816814 22612225221 45224450442