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144024123400 = 2352720120617
BaseRepresentation
bin1000011000100010000…
…0011011100000001000
3111202202021210112021121
42012020200123200020
54324430133422100
6150055212445024
713256023564333
oct2061040334010
9452667715247
10144024123400
1156097954663
1223ab5479774
13107734ab8c1
146d83c6161a
153b2e15e51a
hex218881b808

144024123400 has 24 divisors (see below), whose sum is σ = 334856087370. Its totient is φ = 57609649280.

The previous prime is 144024123343. The next prime is 144024123413. The reversal of 144024123400 is 4321420441.

It can be written as a sum of positive squares in 3 ways, for example, as 122680666564 + 21343456836 = 350258^2 + 146094^2 .

It is a super-2 number, since 2×1440241234002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 360060109 + ... + 360060508.

Almost surely, 2144024123400 is an apocalyptic number.

144024123400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144024123400 is an abundant number, since it is smaller than the sum of its proper divisors (190831963970).

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

144024123400 is a wasteful number, since it uses less digits than its factorization.

144024123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720120633 (or 720120624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144024123400 its reverse (4321420441), we get a palindrome (148345543841).

It can be divided in two parts, 1440241 and 23400, that added together give a palindrome (1463641).

The spelling of 144024123400 in words is "one hundred forty-four billion, twenty-four million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 720120617 1440241234 2880482468 3600603085 5760964936 7201206170 14402412340 18003015425 28804824680 36006030850 72012061700 144024123400