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45520400142 = 2337241419597
BaseRepresentation
bin101010011001001110…
…100010111100001110
311100111101122220212000
4222121032202330032
51221211210301032
632524540053130
73201016005600
oct523116427416
9140441586760
1045520400142
111833a096408
1289a48341a6
1343a5989819
1422bb815170
1512b6485e7c
hexa993a2f0e

45520400142 has 96 divisors (see below), whose sum is σ = 120542113440. Its totient is φ = 12688583040.

The previous prime is 45520400111. The next prime is 45520400147. The reversal of 45520400142 is 24100402554.

45520400142 is a `hidden beast` number, since 455 + 204 + 0 + 0 + 1 + 4 + 2 = 666.

45520400142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45520400147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101313 + ... + 318284.

It is an arithmetic number, because the mean of its divisors is an integer number (1255647015).

Almost surely, 245520400142 is an apocalyptic number.

45520400142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

45520400142 is an abundant number, since it is smaller than the sum of its proper divisors (75021713298).

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

45520400142 is a wasteful number, since it uses less digits than its factorization.

45520400142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419663 (or 419650 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 45520400142 its reverse (24100402554), we get a palindrome (69620802696).

The spelling of 45520400142 in words is "forty-five billion, five hundred twenty million, four hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 189 246 287 294 369 378 441 574 738 861 882 1107 1323 1722 2009 2214 2583 2646 4018 5166 6027 7749 12054 15498 18081 36162 54243 108486 419597 839194 1258791 2517582 2937179 3776373 5874358 7552746 8811537 11329119 17203477 17623074 20560253 22658238 26434611 34406954 41120506 51610431 52869222 61680759 79303833 103220862 120424339 123361518 154831293 158607666 185042277 240848678 309662586 361273017 370084554 464493879 555126831 722546034 842970373 928987758 1083819051 1110253662 1685940746 2167638102 2528911119 3251457153 5057822238 6502914306 7586733357 15173466714 22760200071 45520400142