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144351516264 = 23329311205201
BaseRepresentation
bin1000011001110000000…
…1010101011001101000
3111210121002211210212020
42012130001111121220
54331112442010024
6150151505544440
713300110433434
oct2063401253150
9453532753766
10144351516264
115624573877a
1223b87045120
13107c627aaa7
146db55259c4
153b4cc7e979
hex219c055668

144351516264 has 32 divisors (see below), whose sum is σ = 360892861440. Its totient is φ = 48115296000.

The previous prime is 144351516229. The next prime is 144351516269. The reversal of 144351516264 is 462615153441.

It is not an unprimeable number, because it can be changed into a prime (144351516269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600864 + ... + 806064.

It is an arithmetic number, because the mean of its divisors is an integer number (11277901920).

Almost surely, 2144351516264 is an apocalyptic number.

It is an amenable number.

144351516264 is an abundant number, since it is smaller than the sum of its proper divisors (216541345176).

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

144351516264 is a wasteful number, since it uses less digits than its factorization.

144351516264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234521 (or 234517 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 144351516264 in words is "one hundred forty-four billion, three hundred fifty-one million, five hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29311 58622 87933 117244 175866 205201 234488 351732 410402 615603 703464 820804 1231206 1641608 2462412 4924824 6014646511 12029293022 18043939533 24058586044 36087879066 48117172088 72175758132 144351516264