Search a number
-
+
144240134113020 = 223511682732011961
BaseRepresentation
bin100000110010111110000101…
…111101001100011011111100
3200220201012222221122010000010
4200302332011331030123330
5122401212243313104040
61230435000340303220
742245001662421111
oct4062760575143374
9626635887563003
10144240134113020
1141a60996413160
12142168550a1b10
136263a2b60646a
14278938ca2a908
1511a203c094e80
hex832f85f4c6fc

144240134113020 has 96 divisors (see below), whose sum is σ = 440652595896576. Its totient is φ = 34962182233600.

The previous prime is 144240134113003. The next prime is 144240134113027. The reversal of 144240134113020 is 20311431042441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240134113027) 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, 11500161 + ... + 20511800.

It is an arithmetic number, because the mean of its divisors is an integer number (4590131207256).

Almost surely, 2144240134113020 is an apocalyptic number.

144240134113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240134113020 is an abundant number, since it is smaller than the sum of its proper divisors (296412461783556).

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

144240134113020 is a wasteful number, since it uses less digits than its factorization.

144240134113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32018811 (or 32018809 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144240134113020 its reverse (20311431042441), we get a palindrome (164551565155461).

The spelling of 144240134113020 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred thirty-four million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6827 13654 20481 27308 34135 40962 68270 75097 81924 102405 136540 150194 204810 225291 300388 375485 409620 450582 750970 901164 1126455 1501940 2252910 4505820 32011961 64023922 96035883 128047844 160059805 192071766 320119610 352131571 384143532 480179415 640239220 704263142 960358830 1056394713 1408526284 1760657855 1920717660 2112789426 3521315710 4225578852 5281973565 7042631420 10563947130 21127894260 218545657747 437091315494 655636973241 874182630988 1092728288735 1311273946482 2185456577470 2404002235217 2622547892964 3278184866205 4370913154940 4808004470434 6556369732410 7212006705651 9616008940868 12020011176085 13112739464820 14424013411302 24040022352170 28848026822604 36060033528255 48080044704340 72120067056510 144240134113020