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144135424176 = 2439730956921
BaseRepresentation
bin1000011000111100100…
…1000000100010110000
3111210001001020012020120
42012033021000202300
54330142132033201
6150114230210240
713261544614362
oct2061711004260
9453031205216
10144135424176
1156144764577
1223b267b3980
131079057b053
146d94954d32
153b38ce7536
hex218f2408b0

144135424176 has 40 divisors (see below), whose sum is σ = 376188516144. Its totient is φ = 47549829120.

The previous prime is 144135424099. The next prime is 144135424177. The reversal of 144135424176 is 671424531441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144135424177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15473805 + ... + 15483116.

Almost surely, 2144135424176 is an apocalyptic number.

144135424176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144135424176 is an abundant number, since it is smaller than the sum of its proper divisors (232053091968).

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

144135424176 is a wasteful number, since it uses less digits than its factorization.

144135424176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30957029 (or 30957023 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 144135424176 in words is "one hundred forty-four billion, one hundred thirty-five million, four hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 30956921 61913842 92870763 123827684 185741526 247655368 371483052 495310736 742966104 1485932208 3002821337 6005642674 9008464011 12011285348 18016928022 24022570696 36033856044 48045141392 72067712088 144135424176