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144257376 = 25317372389
BaseRepresentation
bin10001001100100…
…11000101100000
3101001110000220210
420212103011200
5243412214001
622151534120
73401111304
oct1046230540
9331400823
10144257376
117447a77a
124038a340
1323b6b0c3
1415231d04
15c9e7dd6
hex8993160

144257376 has 96 divisors (see below), whose sum is σ = 411959520. Its totient is φ = 44015616.

The previous prime is 144257369. The next prime is 144257381. The reversal of 144257376 is 673752441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59190 + ... + 61578.

It is an arithmetic number, because the mean of its divisors is an integer number (4291245).

Almost surely, 2144257376 is an apocalyptic number.

144257376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205979760).

144257376 is an abundant number, since it is smaller than the sum of its proper divisors (267702144).

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

144257376 is a wasteful number, since it uses less digits than its factorization.

144257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2448 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 144257376 is about 12010.7192124369. The cubic root of 144257376 is about 524.4603688761.

The spelling of 144257376 in words is "one hundred forty-four million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1632 1776 1887 2389 2516 3552 3774 4778 5032 7167 7548 9556 10064 14334 15096 19112 20128 28668 30192 38224 40613 57336 60384 76448 81226 88393 114672 121839 162452 176786 229344 243678 265179 324904 353572 487356 530358 649808 707144 974712 1060716 1299616 1414288 1502681 1949424 2121432 2828576 3005362 3898848 4242864 4508043 6010724 8485728 9016086 12021448 18032172 24042896 36064344 48085792 72128688 144257376