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144044344444 = 2271113172116183
BaseRepresentation
bin1000011000100110110…
…1100100010001111100
3111202210200211212100011
42012021231210101330
54330000323010234
6150101214113004
713256360503660
oct2061155442174
9452720755304
10144044344444
11560a8305a70
1223b001ab764
131077773b810
146d868068a0
153b30d05b64
hex2189b6447c

144044344444 has 96 divisors (see below), whose sum is σ = 358363063296. Its totient is φ = 48756833280.

The previous prime is 144044344441. The next prime is 144044344447. The reversal of 144044344444 is 444443440441.

It is an interprime number because it is at equal distance from previous prime (144044344441) and next prime (144044344447).

It is a junction number, because it is equal to n+sod(n) for n = 144044344397 and 144044344406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044344441) by changing a digit.

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, 990024 + ... + 1126159.

It is an arithmetic number, because the mean of its divisors is an integer number (3732948576).

Almost surely, 2144044344444 is an apocalyptic number.

144044344444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144044344444 is an abundant number, since it is smaller than the sum of its proper divisors (214318718852).

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

144044344444 is a wasteful number, since it uses less digits than its factorization.

144044344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116235 (or 2116233 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 144044344444 its reverse (444443440441), we get a palindrome (588487784885).

The spelling of 144044344444 in words is "one hundred forty-four billion, forty-four million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 68068 2116183 4232366 8464732 14813281 23278013 27510379 29626562 35975111 46556026 55020758 59253124 71950222 93112052 110041516 143900444 162946091 192572653 251825777 302614169 325892182 385145306 395726221 467676443 503651554 605228338 651784364 770290612 791452442 935352886 1007303108 1210456676 1582904884 1870705772 2118299183 2770083547 3273735101 4236598366 5144440873 5540167094 6547470202 8473196732 10288881746 11080334188 13094940404 20577763492 36011086111 72022172222 144044344444