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144563790020 = 225133715027421
BaseRepresentation
bin1000011010100010101…
…1000110000011000100
3111211010220021102201012
42012220223012003010
54332031312240040
6150224531421352
713305265640366
oct2065053060304
9454126242635
10144563790020
1156344544131
1224026154858
131082b241870
146dd57c0d36
153b61710865
hex21a8ac60c4

144563790020 has 48 divisors (see below), whose sum is σ = 335772717168. Its totient is φ = 51934763520.

The previous prime is 144563789989. The next prime is 144563790029. The reversal of 144563790020 is 20097365441.

It can be written as a sum of positive squares in 8 ways, for example, as 48246916 + 144515543104 = 6946^2 + 380152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144563790020.

It is not an unprimeable number, because it can be changed into a prime (144563790029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7504091 + ... + 7523330.

It is an arithmetic number, because the mean of its divisors is an integer number (6995264941).

Almost surely, 2144563790020 is an apocalyptic number.

144563790020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144563790020 is an abundant number, since it is smaller than the sum of its proper divisors (191208927148).

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

144563790020 is a wasteful number, since it uses less digits than its factorization.

144563790020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027480 (or 15027478 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 144563790020 in words is "one hundred forty-four billion, five hundred sixty-three million, seven hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 15027421 30054842 60109684 75137105 150274210 195356473 300548420 390712946 556014577 781425892 976782365 1112029154 1953564730 2224058308 2780072885 3907129460 5560145770 7228189501 11120291540 14456379002 28912758004 36140947505 72281895010 144563790020