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144034000430120 = 23517961932498353
BaseRepresentation
bin100000101111111110000111…
…011011100110010000101000
3200212222111221010202001100222
4200233332013123212100220
5122334323113102230440
61230200150100145212
742224053542135503
oct4057760733462050
9625874833661328
10144034000430120
1141991527314239
12141a2907398208
13624a46a613628
14277d3d609c13a
15119b9c53cd2b5
hex82ff876e6428

144034000430120 has 64 divisors (see below), whose sum is σ = 326413467576000. Its totient is φ = 57199179414528.

The previous prime is 144034000430113. The next prime is 144034000430129. The reversal of 144034000430120 is 21034000430441.

144034000430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144034000430120.

It is not an unprimeable number, because it can be changed into a prime (144034000430129) 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, 11817137 + ... + 20681216.

It is an arithmetic number, because the mean of its divisors is an integer number (5100210430875).

Almost surely, 2144034000430120 is an apocalyptic number.

144034000430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034000430120 is an abundant number, since it is smaller than the sum of its proper divisors (182379467145880).

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

144034000430120 is a wasteful number, since it uses less digits than its factorization.

144034000430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32499162 (or 32499158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144034000430120 its reverse (21034000430441), we get a palindrome (165068000860561).

The spelling of 144034000430120 in words is "one hundred forty-four trillion, thirty-four billion, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 619 716 895 1238 1432 1790 2476 3095 3580 4952 6190 7160 12380 24760 110801 221602 443204 554005 886408 1108010 2216020 4432040 32498353 64996706 129993412 162491765 259986824 324983530 649967060 1299934120 5817205187 11634410374 20116480507 23268820748 29086025935 40232961014 46537641496 58172051870 80465922028 100582402535 116344103740 160931844056 201164805070 232688207480 402329610140 804659220280 3600850010753 7201700021506 14403400043012 18004250053765 28806800086024 36008500107530 72017000215060 144034000430120