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114044332140 = 223251574035539
BaseRepresentation
bin110101000110110010…
…0100110100001101100
3101220100221112100002100
41222031210212201230
53332030322112030
6124220301455100
711145060554154
oct1521544464154
9356327470070
10114044332140
1144403063772
121a129271490
13a9a6370c4b
14573c397764
152e771c8360
hex1a8d92686c

114044332140 has 72 divisors (see below), whose sum is σ = 348137964720. Its totient is φ = 30218108544.

The previous prime is 114044332081. The next prime is 114044332289. The reversal of 114044332140 is 41233440411.

114044332140 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 443 + 3 + 214 + 0 = 666.

It is a super-2 number, since 2×1140443321402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989510 + ... + 2046029.

It is an arithmetic number, because the mean of its divisors is an integer number (4835249510).

Almost surely, 2114044332140 is an apocalyptic number.

114044332140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114044332140 is an abundant number, since it is smaller than the sum of its proper divisors (234093632580).

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

114044332140 is a wasteful number, since it uses less digits than its factorization.

114044332140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035711 (or 4035706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114044332140 its reverse (41233440411), we get a palindrome (155277772551).

The spelling of 114044332140 in words is "one hundred fourteen billion, forty-four million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 4035539 8071078 12106617 16142156 20177695 24213234 36319851 40355390 48426468 60533085 72639702 80710780 121066170 145279404 181599255 242132340 363198510 633579623 726397020 1267159246 1900738869 2534318492 3167898115 3801477738 5702216607 6335796230 7602955476 9503694345 11404433214 12671592460 19007388690 22808866428 28511083035 38014777380 57022166070 114044332140