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144141810 = 235171372063
BaseRepresentation
bin10001001011101…
…10110111110010
3101001020011101120
420211312313302
5243400014220
622145243110
73400120341
oct1045666762
9331204346
10144141810
117440096a
1240333496
1323b2a617
1415201b58
15c9c3a40
hex8976df2

144141810 has 64 divisors (see below), whose sum is σ = 369142272. Its totient is φ = 35895296.

The previous prime is 144141799. The next prime is 144141817. The reversal of 144141810 is 18141441.

It is a super-2 number, since 2×1441418102 = 41553722780152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144141817) 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, 68839 + ... + 70901.

It is an arithmetic number, because the mean of its divisors is an integer number (5767848).

Almost surely, 2144141810 is an apocalyptic number.

144141810 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 144141810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184571136).

144141810 is an abundant number, since it is smaller than the sum of its proper divisors (225000462).

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

144141810 is a wasteful number, since it uses less digits than its factorization.

144141810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 144141810 is about 12005.9072959939. The cubic root of 144141810 is about 524.3202813443.

The spelling of 144141810 in words is "one hundred forty-four million, one hundred forty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 137 170 255 274 411 510 685 822 1370 2055 2063 2329 4110 4126 4658 6189 6987 10315 11645 12378 13974 20630 23290 30945 34935 35071 61890 69870 70142 105213 175355 210426 282631 350710 526065 565262 847893 1052130 1413155 1695786 2826310 4239465 4804727 8478930 9609454 14414181 24023635 28828362 48047270 72070905 144141810