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144680410 = 25731611093
BaseRepresentation
bin10001001111110…
…10010111011010
3101002020112012201
420213322113122
5244014233120
622205000414
73404522530
oct1047722732
9332215181
10144680410
1174739596
124055310a
1323c88814
1415302150
15ca7d40a
hex89fa5da

144680410 has 64 divisors (see below), whose sum is σ = 312551424. Its totient is φ = 47174400.

The previous prime is 144680401. The next prime is 144680411. The reversal of 144680410 is 14086441.

It is not an unprimeable number, because it can be changed into a prime (144680411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131824 + ... + 132916.

It is an arithmetic number, because the mean of its divisors is an integer number (4883616).

Almost surely, 2144680410 is an apocalyptic number.

144680410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144680410 is an abundant number, since it is smaller than the sum of its proper divisors (167871014).

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

144680410 is a wasteful number, since it uses less digits than its factorization.

144680410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 144680410 is about 12028.3170061318. The cubic root of 144680410 is about 524.9725276630.

The spelling of 144680410 in words is "one hundred forty-four million, six hundred eighty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 31 35 61 62 70 122 155 217 305 310 427 434 610 854 1085 1093 1891 2135 2170 2186 3782 4270 5465 7651 9455 10930 13237 15302 18910 26474 33883 38255 66185 66673 67766 76510 132370 133346 169415 237181 333365 338830 466711 474362 666730 933422 1185905 2066863 2333555 2371810 4133726 4667110 10334315 14468041 20668630 28936082 72340205 144680410