Search a number
-
+
140114040 = 233511179593
BaseRepresentation
bin10000101100111…
…11100001111000
3100202122112022220
420112133201320
5241332122130
621523044040
73320643513
oct1026374170
9322575286
10140114040
11720aa830
123ab10620
132304a221
1414873d7a
15c47a410
hex859f878

140114040 has 128 divisors (see below), whose sum is σ = 461894400. Its totient is φ = 33720320.

The previous prime is 140114021. The next prime is 140114041. The reversal of 140114040 is 40411041.

140114040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140114041) 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, 235984 + ... + 236576.

It is an arithmetic number, because the mean of its divisors is an integer number (3608550).

Almost surely, 2140114040 is an apocalyptic number.

140114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230947200).

140114040 is an abundant number, since it is smaller than the sum of its proper divisors (321780360).

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

140114040 is a wasteful number, since it uses less digits than its factorization.

140114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 140114040 is about 11836.9776547901. The cubic root of 140114040 is about 519.3903604986.

Adding to 140114040 its reverse (40411041), we get a palindrome (180525081).

The spelling of 140114040 in words is "one hundred forty million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 179 220 264 330 358 440 537 593 660 716 895 1074 1186 1320 1432 1779 1790 1969 2148 2372 2685 2965 3558 3580 3938 4296 4744 5370 5907 5930 6523 7116 7160 7876 8895 9845 10740 11814 11860 13046 14232 15752 17790 19569 19690 21480 23628 23720 26092 29535 32615 35580 39138 39380 47256 52184 59070 65230 71160 78276 78760 97845 106147 118140 130460 156552 195690 212294 236280 260920 318441 391380 424588 530735 636882 782760 849176 1061470 1167617 1273764 1592205 2122940 2335234 2547528 3184410 3502851 4245880 4670468 5838085 6368820 7005702 9340936 11676170 12737640 14011404 17514255 23352340 28022808 35028510 46704680 70057020 140114040