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1445575144 = 231317839851
BaseRepresentation
bin101011000101001…
…1011100111101000
310201202002211022011
41112022123213220
510430031401034
6355235405304
750552120536
oct12612334750
93652084264
101445575144
11681a98002
12344153834
131a0647b10
14d9db7156
1586d98864
hex5629b9e8

1445575144 has 64 divisors (see below), whose sum is σ = 3128207040. Its totient is φ = 620313600.

The previous prime is 1445575141. The next prime is 1445575147. The reversal of 1445575144 is 4415755441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1445575141) and next prime (1445575147).

It is a junction number, because it is equal to n+sod(n) for n = 1445575097 and 1445575106.

It is not an unprimeable number, because it can be changed into a prime (1445575141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141819 + ... + 151669.

It is an arithmetic number, because the mean of its divisors is an integer number (48878235).

Almost surely, 21445575144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445575144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564103520).

1445575144 is an abundant number, since it is smaller than the sum of its proper divisors (1682631896).

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

1445575144 is a wasteful number, since it uses less digits than its factorization.

1445575144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9966 counting only the distinct ones).

The product of its digits is 224000, while the sum is 40.

The square root of 1445575144 is about 38020.7199300592. The cubic root of 1445575144 is about 1130.6986944291.

The spelling of 1445575144 in words is "one billion, four hundred forty-five million, five hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 332 442 664 884 1079 1411 1768 2158 2822 4316 5644 8632 9851 11288 18343 19702 36686 39404 73372 78808 128063 146744 167467 256126 334934 512252 669868 817633 1024504 1339736 1635266 2177071 3270532 4354142 6541064 8708284 10629229 13899761 17416568 21258458 27799522 42516916 55599044 85033832 111198088 180696893 361393786 722787572 1445575144