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144971946 = 232710710753
BaseRepresentation
bin10001010010000…
…01100010101010
3101002210100010100
420221001202222
5244103100241
622215130230
73410145510
oct1051014252
9332710110
10144971946
1174918629
1240673976
132405b422
141537a4b0
15cad99b6
hex8a418aa

144971946 has 48 divisors (see below), whose sum is σ = 362366784. Its totient is φ = 41029632.

The previous prime is 144971917. The next prime is 144971993. The reversal of 144971946 is 649179441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8106 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (7549308).

Almost surely, 2144971946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144971946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181183392).

144971946 is an abundant number, since it is smaller than the sum of its proper divisors (217394838).

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

144971946 is a wasteful number, since it uses less digits than its factorization.

144971946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10872 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 144971946 is about 12040.4296434969. The cubic root of 144971946 is about 525.3249036492.

The spelling of 144971946 in words is "one hundred forty-four million, nine hundred seventy-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 10753 13482 21506 32259 64518 75271 96777 150542 193554 225813 451626 677439 1150571 1354878 2301142 3451713 6903426 8053997 10355139 16107994 20710278 24161991 48323982 72485973 144971946