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144344640 = 26351113669
BaseRepresentation
bin10001001101010…
…00011001000000
3101001121110121210
420212220121000
5243423012030
622153450120
73401623566
oct1046503100
9331543553
10144344640
117452a2a0
1240410940
1323b9ba3b
1415255a36
15ca13bb0
hex89a8640

144344640 has 112 divisors (see below), whose sum is σ = 499993920. Its totient is φ = 34990080.

The previous prime is 144344639. The next prime is 144344677. The reversal of 144344640 is 46443441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144344598 and 144344607.

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, 3726 + ... + 17394.

Almost surely, 2144344640 is an apocalyptic number.

144344640 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 144344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249996960).

144344640 is an abundant number, since it is smaller than the sum of its proper divisors (355649280).

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

144344640 is a wasteful number, since it uses less digits than its factorization.

144344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13700 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 144344640 is about 12014.3514181998. The cubic root of 144344640 is about 524.5660995399.

The spelling of 144344640 in words is "one hundred forty-four million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 13669 27338 41007 54676 68345 82014 109352 136690 150359 164028 205035 218704 273380 300718 328056 410070 437408 451077 546760 601436 656112 751795 820140 874816 902154 1093520 1202872 1312224 1503590 1640280 1804308 2187040 2255385 2405744 2624448 3007180 3280560 3608616 4374080 4510770 4811488 6014360 6561120 7217232 9021540 9622976 12028720 13122240 14434464 18043080 24057440 28868928 36086160 48114880 72172320 144344640