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144001101300 = 22352768571953
BaseRepresentation
bin1000011000011100100…
…0100110110111110100
3111202200200110212220020
42012013020212313310
54324403240220200
6150053031205140
713255324110450
oct2060710466764
9452620425806
10144001101300
115608595a831
1223aa98167b0
131076b7aaa64
146d80b8b660
153b2c112ea0
hex2187226df4

144001101300 has 72 divisors (see below), whose sum is σ = 476163648576. Its totient is φ = 32914536960.

The previous prime is 144001101193. The next prime is 144001101301. The reversal of 144001101300 is 3101100441.

It is a super-2 number, since 2×1440011013002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144001101300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144001101301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34283877 + ... + 34288076.

It is an arithmetic number, because the mean of its divisors is an integer number (6613384008).

Almost surely, 2144001101300 is an apocalyptic number.

144001101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001101300 is an abundant number, since it is smaller than the sum of its proper divisors (332162547276).

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

144001101300 is a wasteful number, since it uses less digits than its factorization.

144001101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68571977 (or 68571970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 144001101300 its reverse (3101100441), we get a palindrome (147102201741).

The spelling of 144001101300 in words is "one hundred forty-four billion, one million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 68571953 137143906 205715859 274287812 342859765 411431718 480003671 685719530 822863436 960007342 1028579295 1371439060 1440011013 1714298825 1920014684 2057158590 2400018355 2880022026 3428597650 4114317180 4800036710 5142896475 5760044052 6857195300 7200055065 9600073420 10285792950 12000091775 14400110130 20571585900 24000183550 28800220260 36000275325 48000367100 72000550650 144001101300