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144618849800 = 23521017159349
BaseRepresentation
bin1000011010101111110…
…1001000011000001000
3111211021201212202112022
42012223331020120020
54332134411143200
6150234215504012
713306534640465
oct2065375103010
9454251782468
10144618849800
1156372630387
1224040688008
131083977c009
146ddcc3466c
153b66489885
hex21abf48608

144618849800 has 48 divisors (see below), whose sum is σ = 339567970500. Its totient is φ = 57274784000.

The previous prime is 144618849773. The next prime is 144618849803. The reversal of 144618849800 is 8948816441.

It can be written as a sum of positive squares in 6 ways, for example, as 100307757796 + 44311092004 = 316714^2 + 210502^2 .

It is a super-2 number, since 2×1446188498002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144618849803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3559475 + ... + 3599874.

Almost surely, 2144618849800 is an apocalyptic number.

144618849800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144618849800 is an abundant number, since it is smaller than the sum of its proper divisors (194949120700).

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

144618849800 is a wasteful number, since it uses less digits than its factorization.

144618849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159466 (or 7159457 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 144618849800 in words is "one hundred forty-four billion, six hundred eighteen million, eight hundred forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 7159349 14318698 28637396 35796745 57274792 71593490 143186980 178983725 286373960 357967450 715934900 723094249 1431869800 1446188498 2892376996 3615471245 5784753992 7230942490 14461884980 18077356225 28923769960 36154712450 72309424900 144618849800