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144161163135 = 325111511192743
BaseRepresentation
bin1000011001000010101…
…1001100011101111111
3111210002211122212110100
42012100223030131333
54330220224210020
6150120550012143
713262306445153
oct2062053143577
9453084585410
10144161163135
1156158244640
1223b33347053
13107959c06c2
146d98135063
153b3b1cda90
hex2190acc77f

144161163135 has 48 divisors (see below), whose sum is σ = 272777476608. Its totient is φ = 69849700800.

The previous prime is 144161163121. The next prime is 144161163281. The reversal of 144161163135 is 531361161441.

144161163135 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 6 + 11 + 631 + 3 + 5 = 666.

It is not a de Polignac number, because 144161163135 - 215 = 144161130367 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144161163135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651574 + ... + 844316.

It is an arithmetic number, because the mean of its divisors is an integer number (5682864096).

Almost surely, 2144161163135 is an apocalyptic number.

144161163135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144161163135 is a deficient number, since it is larger than the sum of its proper divisors (128616313473).

144161163135 is a wasteful number, since it uses less digits than its factorization.

144161163135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194276 (or 194273 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 144161163135 in words is "one hundred forty-four billion, one hundred sixty-one million, one hundred sixty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1511 4533 7555 13599 16621 22665 49863 67995 83105 149589 192743 249315 578229 747945 963715 1734687 2120173 2891145 6360519 8673435 10600865 19081557 31802595 95407785 291234673 873704019 1456173365 2621112057 3203581403 4368520095 9610744209 13105560285 16017907015 28832232627 48053721045 144161163135