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144031323100 = 22527415018513
BaseRepresentation
bin1000011000100011101…
…1111001001111011100
3111202202210100022102011
42012020323321033130
54324434004314400
6150100031041004
713256142021610
oct2061073711734
9452683308364
10144031323100
11560a0a21925
1223ab7970164
1310774b2c992
146d84bb7340
153b2ead28ba
hex2188ef93dc

144031323100 has 72 divisors (see below), whose sum is σ = 365909892768. Its totient is φ = 48177715200.

The previous prime is 144031323089. The next prime is 144031323101. The reversal of 144031323100 is 1323130441.

144031323100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440313231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144031323101) 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, 2480557 + ... + 2537956.

It is an arithmetic number, because the mean of its divisors is an integer number (5082081844).

Almost surely, 2144031323100 is an apocalyptic number.

144031323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144031323100 is an abundant number, since it is smaller than the sum of its proper divisors (221878569668).

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

144031323100 is a wasteful number, since it uses less digits than its factorization.

144031323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018575 (or 5018568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 144031323100 its reverse (1323130441), we get a palindrome (145354453541).

The spelling of 144031323100 in words is "one hundred forty-four billion, thirty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 5018513 10037026 20074052 25092565 35129591 50185130 70259182 100370260 125462825 140518364 175647955 205759033 250925650 351295910 411518066 501851300 702591820 823036132 878239775 1028795165 1440313231 1756479550 2057590330 2880626462 3512959100 4115180660 5143975825 5761252924 7201566155 10287951650 14403132310 20575903300 28806264620 36007830775 72015661550 144031323100