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144503015200 = 2552181997949
BaseRepresentation
bin1000011010010100001…
…1010000011100100000
3111210222122220202022221
42012211003100130200
54331420232441300
6150214521040424
713303630235335
oct2064503203440
9453878822287
10144503015200
1156313204105
1224009926114
131081b78302b
146dcb6c098c
153b5b20831a
hex21a50d0720

144503015200 has 72 divisors (see below), whose sum is σ = 354717335700. Its totient is φ = 57481804800.

The previous prime is 144503015179. The next prime is 144503015201. The reversal of 144503015200 is 2510305441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5293435536 + 139209579664 = 72756^2 + 373108^2 .

It is a super-2 number, since 2×1445030152002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144503015201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354175 + ... + 643774.

Almost surely, 2144503015200 is an apocalyptic number.

144503015200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144503015200 is an abundant number, since it is smaller than the sum of its proper divisors (210214320500).

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

144503015200 is a wasteful number, since it uses less digits than its factorization.

144503015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998150 (or 998137 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 144503015200 in words is "one hundred forty-four billion, five hundred three million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 362 400 724 800 905 1448 1810 2896 3620 4525 5792 7240 9050 14480 18100 28960 36200 72400 144800 997949 1995898 3991796 4989745 7983592 9979490 15967184 19958980 24948725 31934368 39917960 49897450 79835920 99794900 159671840 180628769 199589800 361257538 399179600 722515076 798359200 903143845 1445030152 1806287690 2890060304 3612575380 4515719225 5780120608 7225150760 9031438450 14450301520 18062876900 28900603040 36125753800 72251507600 144503015200