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144434210120 = 23512492890997
BaseRepresentation
bin1000011010000011110…
…0110010010101001000
3111210210212110002111122
42012200330302111020
54331300124210440
6150204022214412
713302133346414
oct2064074622510
9453725402448
10144434210120
1156288389902
1223baa884408
131080a442375
146dc24cdd44
153b551667b5
hex21a0f32548

144434210120 has 32 divisors (see below), whose sum is σ = 325237275000. Its totient is φ = 57727408128.

The previous prime is 144434210099. The next prime is 144434210131. The reversal of 144434210120 is 21012434441.

It can be written as a sum of positive squares in 4 ways, for example, as 108252844324 + 36181365796 = 329018^2 + 190214^2 .

It is a super-2 number, since 2×1444342101202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144434210120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395539 + ... + 1495458.

Almost surely, 2144434210120 is an apocalyptic number.

144434210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434210120 is an abundant number, since it is smaller than the sum of its proper divisors (180803064880).

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

144434210120 is a wasteful number, since it uses less digits than its factorization.

144434210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892257 (or 2892253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144434210120 its reverse (21012434441), we get a palindrome (165446644561).

The spelling of 144434210120 in words is "one hundred forty-four billion, four hundred thirty-four million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1249 2498 4996 6245 9992 12490 24980 49960 2890997 5781994 11563988 14454985 23127976 28909970 57819940 115639880 3610855253 7221710506 14443421012 18054276265 28886842024 36108552530 72217105060 144434210120