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144445680 = 2434522291
BaseRepresentation
bin10001001110000…
…01000011110000
3101001210121020000
420213001003300
5243434230210
622155550000
73402524301
oct1047010360
9331717200
10144445680
11745991a5
124045b300
1323c05a22
14152807a8
15ca33ac0
hex89c10f0

144445680 has 100 divisors (see below), whose sum is σ = 501703752. Its totient is φ = 38517120.

The previous prime is 144445673. The next prime is 144445699. The reversal of 144445680 is 86544441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4666 + ... + 17625.

Almost surely, 2144445680 is an apocalyptic number.

144445680 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 144445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250851876).

144445680 is an abundant number, since it is smaller than the sum of its proper divisors (357258072).

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

144445680 is a wasteful number, since it uses less digits than its factorization.

144445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22316 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 144445680 is about 12018.5556536549. Note that the first 3 decimals coincide. The cubic root of 144445680 is about 524.6884682368.

The spelling of 144445680 in words is "one hundred forty-four million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 22291 44582 66873 89164 111455 133746 178328 200619 222910 267492 334365 356656 401238 445820 534984 601857 668730 802476 891640 1003095 1069968 1203714 1337460 1604952 1783280 1805571 2006190 2407428 2674920 3009285 3209904 3611142 4012380 4814856 5349840 6018570 7222284 8024760 9027855 9629712 12037140 14444568 16049520 18055710 24074280 28889136 36111420 48148560 72222840 144445680