Search a number
-
+
144044043130134 = 232710739383271289
BaseRepresentation
bin100000110000000111011110…
…000001011101010100010110
3200220000110212000212001220100
4200300013132001131110112
5122340004200020131014
61230204530410114530
742224560445522340
oct4060073601352426
9626013760761810
10144044043130134
1141995810143414
12141a484a71ba46
13624b3ab101584
14277daa9b78290
15119bdb1dc3009
hex8301de05d516

144044043130134 has 96 divisors (see below), whose sum is σ = 360024418690560. Its totient is φ = 40769625085056.

The previous prime is 144044043130129. The next prime is 144044043130189. The reversal of 144044043130134 is 431031340440441.

144044043130134 is a `hidden beast` number, since 1 + 4 + 40 + 440 + 43 + 1 + 3 + 0 + 134 = 666.

It is a super-2 number, since 2×1440440431301342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 530825962 + ... + 531097250.

It is an arithmetic number, because the mean of its divisors is an integer number (3750254361360).

Almost surely, 2144044043130134 is an apocalyptic number.

144044043130134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144044043130134 is an abundant number, since it is smaller than the sum of its proper divisors (215980375560426).

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

144044043130134 is a wasteful number, since it uses less digits than its factorization.

144044043130134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310794 (or 310791 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144044043130134 its reverse (431031340440441), we get a palindrome (575075383570575).

The spelling of 144044043130134 in words is "one hundred forty-four trillion, forty-four billion, forty-three million, one hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 13482 39383 78766 118149 236298 271289 275681 354447 542578 551362 708894 813867 827043 1627734 1654086 1899023 2441601 2481129 3798046 4213981 4883202 4962258 5697069 8427962 11394138 12641943 17091207 25283886 29027923 29497867 34182414 37925829 58055846 58995734 75851658 87083769 88493601 174167538 176987202 203195461 261251307 265480803 406390922 522502614 530961606 609586383 1219172766 1828759149 3657518298 10684174687 21368349374 32052524061 64105048122 74789222809 96157572183 149578445618 192315144366 224367668427 448735336854 673103005281 1143206691509 1346206010562 2286413383018 3429620074527 6859240149054 8002446840563 10288860223581 16004893681126 20577720447162 24007340521689 48014681043378 72022021565067 144044043130134