Search a number
-
+
144335020540060 = 22575960129074831
BaseRepresentation
bin100000110100010110011101…
…101000001100000010011100
3200221001021220202012000212201
4200310112131220030002130
5122404241110224240220
61230550332033541244
742254601234636460
oct4064263550140234
9627037822160781
10144335020540060
1141a9815831a1a9
1214231116414824
13626c9708a088c
14278dbd08a44a0
1511a47423e1d0a
hex83459da0c09c

144335020540060 has 96 divisors (see below), whose sum is σ = 352861465098240. Its totient is φ = 48566596032000.

The previous prime is 144335020540033. The next prime is 144335020540063. The reversal of 144335020540060 is 60045020533441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144335020540063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9573156 + ... + 19501675.

It is an arithmetic number, because the mean of its divisors is an integer number (3675640261440).

Almost surely, 2144335020540060 is an apocalyptic number.

144335020540060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144335020540060 is an abundant number, since it is smaller than the sum of its proper divisors (208526444558180).

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

144335020540060 is a wasteful number, since it uses less digits than its factorization.

144335020540060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29075507 (or 29075505 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 144335020540060 in words is "one hundred forty-four trillion, three hundred thirty-five billion, twenty million, five hundred forty thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 601 826 1180 1202 1652 2065 2404 3005 4130 4207 6010 8260 8414 12020 16828 21035 35459 42070 70918 84140 141836 177295 248213 354590 496426 709180 992852 1241065 2482130 4964260 29074831 58149662 116299324 145374155 203523817 290748310 407047634 581496620 814095268 1017619085 1715415029 2035238170 3430830058 4070476340 6861660116 8577075145 12007905203 17154150290 17473973431 24015810406 34308300580 34947946862 48031620812 60039526015 69895893724 87369867155 120079052030 122317814017 174739734310 240158104060 244635628034 349479468620 489271256068 611589070085 1030964432429 1223178140170 2061928864858 2446356280340 4123857729716 5154822162145 7216751027003 10309644324290 14433502054006 20619288648580 28867004108012 36083755135015 72167510270030 144335020540060