Search a number
-
+
144635543754 = 231317379287801
BaseRepresentation
bin1000011010110011110…
…0110100000011001010
3111211022220021220022220
42012230330310003022
54332203144400004
6150240013354510
713310126560062
oct2065474640312
9454286256286
10144635543754
1156380aa2839
1224046198a36
13108400756b0
14700113c3a2
153b67b85dd9
hex21acf340ca

144635543754 has 64 divisors (see below), whose sum is σ = 330719034240. Its totient is φ = 41774745600.

The previous prime is 144635543743. The next prime is 144635543791. The reversal of 144635543754 is 457345536441.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 144635543697 and 144635543706.

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 31 ways as a sum of consecutive naturals, for example, 358654 + ... + 646454.

It is an arithmetic number, because the mean of its divisors is an integer number (5167484910).

Almost surely, 2144635543754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144635543754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165359517120).

144635543754 is an abundant number, since it is smaller than the sum of its proper divisors (186083490486).

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

144635543754 is a wasteful number, since it uses less digits than its factorization.

144635543754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288215.

The product of its digits is 12096000, while the sum is 51.

The spelling of 144635543754 in words is "one hundred forty-four billion, six hundred thirty-five million, five hundred forty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 379 442 663 758 1137 1326 2274 4927 6443 9854 12886 14781 19329 29562 38658 83759 167518 251277 287801 502554 575602 863403 1726806 3741413 4892617 7482826 9785234 11224239 14677851 22448478 29355702 63604021 109076579 127208042 190812063 218153158 327229737 381624126 654459474 1417995527 1854301843 2835991054 3708603686 4253986581 5562905529 8507973162 11125811058 24105923959 48211847918 72317771877 144635543754