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145222132041 = 3372632921563
BaseRepresentation
bin1000011100111111101…
…0011110000101001001
3111212211210001200012000
42013033322132011021
54334403331211131
6150414130141213
713330511520030
oct2071772360511
9455753050160
10145222132041
1156652120248
122418a721809
131090475685c
147058dd3717
153b9e404ce6
hex21cfe9e149

145222132041 has 32 divisors (see below), whose sum is σ = 246813726720. Its totient is φ = 82668518352.

The previous prime is 145222132007. The next prime is 145222132073. The reversal of 145222132041 is 140231222541.

145222132041 is a `hidden beast` number, since 1 + 4 + 522 + 2 + 132 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 145222132041 - 27 = 145222131913 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 145222131996 and 145222132014.

It is not an unprimeable number, because it can be changed into a prime (145222132441) 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, 1411075 + ... + 1510488.

It is an arithmetic number, because the mean of its divisors is an integer number (7712928960).

Almost surely, 2145222132041 is an apocalyptic number.

It is an amenable number.

145222132041 is a deficient number, since it is larger than the sum of its proper divisors (101591594679).

145222132041 is a wasteful number, since it uses less digits than its factorization.

145222132041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921842 (or 2921836 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145222132041 its reverse (140231222541), we get a palindrome (285453354582).

The spelling of 145222132041 in words is "one hundred forty-five billion, two hundred twenty-two million, one hundred thirty-two thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 189 263 789 1841 2367 5523 7101 16569 49707 2921563 8764689 20450941 26294067 61352823 78882201 184058469 552175407 768371069 2305113207 5378597483 6915339621 16135792449 20746018863 48407377347 145222132041