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45415463144304 = 2431186014134743
BaseRepresentation
bin10100101001110000111001…
…00011000100101101110000
312221210200020201020121221210
422110320130203010231300
521423041332031104204
6240331324205520120
712365105341212231
oct1224703443045560
9187720221217853
1045415463144304
111351a653a6a130
1251159a2873040
131c45876765896
14b30197969088
1553b561634389
hex294e1c8c4b70

45415463144304 has 40 divisors (see below), whose sum is σ = 127989032499072. Its totient is φ = 13762261558720.

The previous prime is 45415463144297. The next prime is 45415463144327. The reversal of 45415463144304 is 40344136451454.

45415463144304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454154631443042 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43007066844 + ... + 43007067899.

Almost surely, 245415463144304 is an apocalyptic number.

45415463144304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45415463144304 is an abundant number, since it is smaller than the sum of its proper divisors (82573569354768).

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

45415463144304 is a wasteful number, since it uses less digits than its factorization.

45415463144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86014134765 (or 86014134759 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 45415463144304 its reverse (40344136451454), we get a palindrome (85759599595758).

The spelling of 45415463144304 in words is "forty-five trillion, four hundred fifteen billion, four hundred sixty-three million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 86014134743 172028269486 258042404229 344056538972 516084808458 688113077944 946155482173 1032169616916 1376226155888 1892310964346 2064339233832 2838466446519 3784621928692 4128678467664 5676932893038 7569243857384 11353865786076 15138487714768 22707731572152 45415463144304