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144769024 = 216472
BaseRepresentation
bin10001010000100…
…00000000000000
3101002102000202201
420220100000000
5244030102044
622210522544
73405342061
oct1050200000
9332360681
10144769024
117479a124
1240596454
1323cb9c5a
1415326568
15ca997d4
hex8a10000

144769024 has 51 divisors (see below), whose sum is σ = 295827247. Its totient is φ = 70844416.

The previous prime is 144768997. The next prime is 144769033. The reversal of 144769024 is 420967441.

It is a happy number.

The square root of 144769024 is 12032.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3080169 + ... + 3080215.

Almost surely, 2144769024 is an apocalyptic number.

144769024 is the 12032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144769024

144769024 is an abundant number, since it is smaller than the sum of its proper divisors (151058223).

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

144769024 is an frugal number, since it uses more digits than its factorization.

144769024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 144769024 is about 525.0796843524.

The spelling of 144769024 in words is "one hundred forty-four million, seven hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 2209 3008 4096 4418 6016 8192 8836 12032 16384 17672 24064 32768 35344 48128 65536 70688 96256 141376 192512 282752 385024 565504 770048 1131008 1540096 2262016 3080192 4524032 9048064 18096128 36192256 72384512 144769024