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145225790541 = 33133307125113
BaseRepresentation
bin1000011101000000100…
…0011011010001001101
3111212212000221112201000
42013100020123101031
54334410300244131
6150414340410513
713330554565146
oct2072010332115
9455760845630
10145225790541
11566541999a7
122418b9a6a39
1310905437b50
1470596a6acd
153b9e8c8ce6
hex21d021b44d

145225790541 has 32 divisors (see below), whose sum is σ = 231771182720. Its totient is φ = 89341978752.

The previous prime is 145225790461. The next prime is 145225790609. The reversal of 145225790541 is 145097522541.

145225790541 is a `hidden beast` number, since 1 + 4 + 5 + 22 + 579 + 0 + 54 + 1 = 666.

It is not a de Polignac number, because 145225790541 - 29 = 145225790029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145225790041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098201 + ... + 1223313.

It is an arithmetic number, because the mean of its divisors is an integer number (7242849460).

Almost surely, 2145225790541 is an apocalyptic number.

It is an amenable number.

145225790541 is a deficient number, since it is larger than the sum of its proper divisors (86545392179).

145225790541 is a wasteful number, since it uses less digits than its factorization.

145225790541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128442 (or 128436 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 145225790541 in words is "one hundred forty-five billion, two hundred twenty-five million, seven hundred ninety thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 3307 9921 29763 42991 89289 125113 128973 375339 386919 1126017 1160757 1626469 3378051 4879407 14638221 43914663 413748691 1241246073 3723738219 5378732983 11171214657 16136198949 48408596847 145225790541