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144103210040 = 2354187867811
BaseRepresentation
bin1000011000110100111…
…0000111110000111000
3111202221210121112202102
42012031032013300320
54330110410210130
6150111115522532
713261004034536
oct2061516076070
9452853545672
10144103210040
1156128561619
1223b17a59448
13107869ac32a
146d9056b156
153b36082645
hex218d387c38

144103210040 has 32 divisors (see below), whose sum is σ = 332140329360. Its totient is φ = 56235398400.

The previous prime is 144103210033. The next prime is 144103210079. The reversal of 144103210040 is 40012301441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144103209994 and 144103210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43932266 + ... + 43935545.

Almost surely, 2144103210040 is an apocalyptic number.

144103210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144103210040 is an abundant number, since it is smaller than the sum of its proper divisors (188037119320).

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

144103210040 is a wasteful number, since it uses less digits than its factorization.

144103210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87867863 (or 87867859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144103210040 its reverse (40012301441), we get a palindrome (184115511481).

The spelling of 144103210040 in words is "one hundred forty-four billion, one hundred three million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 87867811 175735622 351471244 439339055 702942488 878678110 1757356220 3514712440 3602580251 7205160502 14410321004 18012901255 28820642008 36025802510 72051605020 144103210040