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144643400 = 235211243139
BaseRepresentation
bin10001001111100…
…01010101001000
3101002011122102222
420213301111020
5244012042100
622204113212
73404306606
oct1047612510
9332148388
10144643400
1174713800
1240535808
1323c74a15
14152d2876
15ca72485
hex89f1548

144643400 has 144 divisors (see below), whose sum is σ = 380965200. Its totient is φ = 51004800.

The previous prime is 144643381. The next prime is 144643417. The reversal of 144643400 is 4346441.

It is a self number, because there is not a number n which added to its sum of digits gives 144643400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1040531 + ... + 1040669.

Almost surely, 2144643400 is an apocalyptic number.

144643400 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 144643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190482600).

144643400 is an abundant number, since it is smaller than the sum of its proper divisors (236321800).

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

144643400 is a wasteful number, since it uses less digits than its factorization.

144643400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 144643400 is about 12026.7784547650. The cubic root of 144643400 is about 524.9277602795.

Adding to 144643400 its reverse (4346441), we get a palindrome (148989841).

The spelling of 144643400 in words is "one hundred forty-four million, six hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 121 139 172 200 215 220 242 275 278 344 430 440 473 484 550 556 605 695 860 946 968 1075 1100 1112 1210 1390 1529 1720 1892 2150 2200 2365 2420 2780 3025 3058 3475 3784 4300 4730 4840 5203 5560 5977 6050 6116 6950 7645 8600 9460 10406 11825 11954 12100 12232 13900 15290 16819 18920 20812 23650 23908 24200 26015 27800 29885 30580 33638 38225 41624 47300 47816 52030 59770 61160 65747 67276 76450 84095 94600 104060 119540 130075 131494 134552 149425 152900 168190 208120 239080 260150 262988 298850 305800 328735 336380 420475 520300 525976 597700 657470 672760 723217 840950 1040600 1195400 1314940 1446434 1643675 1681900 2629880 2892868 3287350 3363800 3616085 5785736 6574700 7232170 13149400 14464340 18080425 28928680 36160850 72321700 144643400