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144716130 = 232513179691
BaseRepresentation
bin10001010000000…
…11000101100010
3101002022100012200
420220003011202
5244021404010
622205434030
73405031626
oct1050030542
9332270180
10144716130
1174763409
124056b916
1323c9bb60
1415311186
15ca88cc0
hex8a03162

144716130 has 96 divisors (see below), whose sum is σ = 408058560. Its totient is φ = 35372160.

The previous prime is 144716123. The next prime is 144716147. The reversal of 144716130 is 31617441.

It is a happy number.

144716130 is a `hidden beast` number, since 1 + 4 + 47 + 1 + 613 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144716094 and 144716103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209085 + ... + 209775.

It is an arithmetic number, because the mean of its divisors is an integer number (4250610).

Almost surely, 2144716130 is an apocalyptic number.

144716130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144716130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204029280).

144716130 is an abundant number, since it is smaller than the sum of its proper divisors (263342430).

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

144716130 is a wasteful number, since it uses less digits than its factorization.

144716130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 144716130 is about 12029.8017440023. The cubic root of 144716130 is about 525.0157274200.

The spelling of 144716130 in words is "one hundred forty-four million, seven hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 691 895 1074 1170 1382 1611 1790 2073 2327 2685 3222 3455 4146 4654 5370 6219 6910 6981 8055 8983 10365 11635 12438 13962 16110 17966 20730 20943 23270 26949 31095 34905 41886 44915 53898 62190 69810 80847 89830 104715 123689 134745 161694 209430 247378 269490 371067 404235 618445 742134 808470 1113201 1236890 1607957 1855335 2226402 3215914 3710670 4823871 5566005 8039785 9647742 11132010 14471613 16079570 24119355 28943226 48238710 72358065 144716130