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144232920 = 233351310273
BaseRepresentation
bin10001001100011…
…01000111011000
3101001101210101000
420212031013120
5243410423140
622151225000
73400650066
oct1046150730
9331353330
10144232920
1174463367
1240378160
1323b5cc30
1415227036
15c9e0a30
hex898d1d8

144232920 has 128 divisors (see below), whose sum is σ = 517809600. Its totient is φ = 35500032.

The previous prime is 144232909. The next prime is 144232937. The reversal of 144232920 is 29232441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8904 + ... + 19176.

Almost surely, 2144232920 is an apocalyptic number.

144232920 is a gapful number since it is divisible by the number (10) 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 144232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258904800).

144232920 is an abundant number, since it is smaller than the sum of its proper divisors (373576680).

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

144232920 is a wasteful number, since it uses less digits than its factorization.

144232920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144232920 is about 12009.7010787113. The cubic root of 144232920 is about 524.4307298886.

The spelling of 144232920 in words is "one hundred forty-four million, two hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 10273 14040 20546 30819 41092 51365 61638 82184 92457 102730 123276 133549 154095 184914 205460 246552 267098 277371 308190 369828 400647 410920 462285 534196 554742 616380 667745 739656 801294 924570 1068392 1109484 1201941 1232760 1335490 1386855 1602588 1849140 2003235 2218968 2403882 2670980 2773710 3205176 3605823 3698280 4006470 4807764 5341960 5547420 6009705 7211646 8012940 9615528 11094840 12019410 14423292 16025880 18029115 24038820 28846584 36058230 48077640 72116460 144232920