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144442260 = 223251794483
BaseRepresentation
bin10001001110000…
…00001110010100
3101001210102112100
420213000032110
5243434123020
622155522100
73402511314
oct1047001624
9331712470
10144442260
1174596676
1240459330
1323c042c1
141527d444
15ca32a90
hex89c0394

144442260 has 72 divisors (see below), whose sum is σ = 440687520. Its totient is φ = 38294208.

The previous prime is 144442247. The next prime is 144442273. The reversal of 144442260 is 62244441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144442247) and next prime (144442273).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29979 + ... + 34461.

It is an arithmetic number, because the mean of its divisors is an integer number (6120660).

Almost surely, 2144442260 is an apocalyptic number.

144442260 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 144442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220343760).

144442260 is an abundant number, since it is smaller than the sum of its proper divisors (296245260).

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

144442260 is a wasteful number, since it uses less digits than its factorization.

144442260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144442260 is about 12018.4133728209. The cubic root of 144442260 is about 524.6843272367.

The spelling of 144442260 in words is "one hundred forty-four million, four hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 4483 5370 6444 8055 8966 10740 13449 16110 17932 22415 26898 32220 40347 44830 53796 67245 80694 89660 134490 161388 201735 268980 403470 802457 806940 1604914 2407371 3209828 4012285 4814742 7222113 8024570 9629484 12036855 14444226 16049140 24073710 28888452 36110565 48147420 72221130 144442260