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144433440 = 25325195279
BaseRepresentation
bin10001001101111…
…10000100100000
3101001202222102200
420212332010200
5243433332230
622155413200
73402443514
oct1046760440
9331688380
10144433440
117458aa88
1240454200
1323c00298
141527a144
15ca30160
hex89be120

144433440 has 144 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 36481536.

The previous prime is 144433391. The next prime is 144433451. The reversal of 144433440 is 44334441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1444334402 = 41722037180467200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24721 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2144433440 is an apocalyptic number.

144433440 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 144433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

144433440 is an abundant number, since it is smaller than the sum of its proper divisors (374484960).

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

144433440 is a wasteful number, since it uses less digits than its factorization.

144433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 144433440 is about 12018.0464302648. The cubic root of 144433440 is about 524.6736475137.

Adding to 144433440 its reverse (44334441), we get a palindrome (188767881).

The spelling of 144433440 in words is "one hundred forty-four million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5279 5472 6840 9120 10558 13680 15837 21116 26395 27360 31674 42232 47511 52790 63348 79185 84464 95022 100301 105580 126696 158370 168928 190044 200602 211160 237555 253392 300903 316740 380088 401204 422320 475110 501505 506784 601806 633480 760176 802408 844640 902709 950220 1003010 1203612 1266960 1504515 1520352 1604816 1805418 1900440 2006020 2407224 2533920 3009030 3209632 3610836 3800880 4012040 4513545 4814448 6018060 7221672 7601760 8024080 9027090 9628896 12036120 14443344 16048160 18054180 24072240 28886688 36108360 48144480 72216720 144433440