Search a number
-
+
144518775060 = 223511341364157
BaseRepresentation
bin1000011010010111111…
…1011000000100010100
3111211000202120102210110
42012211333120010110
54331433301300220
6150220242523020
713304211214422
oct2064577300424
9454022512713
10144518775060
1156321098790
1224013066470
1310821b104aa
146dcd824112
153b5c7bcbe0
hex21a5fd8114

144518775060 has 96 divisors (see below), whose sum is σ = 441575390592. Its totient is φ = 35024043520.

The previous prime is 144518775041. The next prime is 144518775077. The reversal of 144518775060 is 60577815441.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2220502 + ... + 2284658.

It is an arithmetic number, because the mean of its divisors is an integer number (4599743652).

Almost surely, 2144518775060 is an apocalyptic number.

144518775060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144518775060 is an abundant number, since it is smaller than the sum of its proper divisors (297056615532).

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

144518775060 is a wasteful number, since it uses less digits than its factorization.

144518775060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67593 (or 67591 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 144518775060 in words is "one hundred forty-four billion, five hundred eighteen million, seven hundred seventy-five thousand, sixty".

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 3413 6826 10239 13652 17065 20478 34130 37543 40956 51195 64157 68260 75086 102390 112629 128314 150172 187715 192471 204780 225258 256628 320785 375430 384942 450516 563145 641570 705727 750860 769884 962355 1126290 1283140 1411454 1924710 2117181 2252580 2822908 3528635 3849420 4234362 7057270 8468724 10585905 14114540 21171810 42343620 218967841 437935682 656903523 875871364 1094839205 1313807046 2189678410 2408646251 2627614092 3284517615 4379356820 4817292502 6569035230 7225938753 9634585004 12043231255 13138070460 14451877506 24086462510 28903755012 36129693765 48172925020 72259387530 144518775060