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144117214725 = 35211211827903
BaseRepresentation
bin1000011000111000001…
…1100010111000000101
3111202222202222001120110
42012032003202320011
54330123001332400
6150112340023233
713261234053531
oct2061603427005
9452882861513
10144117214725
1156135457540
1223b20691b19
1310789873923
146d92374bc1
153b373ebe50
hex218e0e2e05

144117214725 has 48 divisors (see below), whose sum is σ = 261167284224. Its totient is φ = 69543768000.

The previous prime is 144117214693. The next prime is 144117214727. The reversal of 144117214725 is 527412711441.

It is not a de Polignac number, because 144117214725 - 25 = 144117214693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144117214727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239877 + ... + 588026.

It is an arithmetic number, because the mean of its divisors is an integer number (5440985088).

Almost surely, 2144117214725 is an apocalyptic number.

144117214725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144117214725 is a deficient number, since it is larger than the sum of its proper divisors (117050069499).

144117214725 is a wasteful number, since it uses less digits than its factorization.

144117214725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828138 (or 828133 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The spelling of 144117214725 in words is "one hundred forty-four billion, one hundred seventeen million, two hundred fourteen thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 211 275 633 825 1055 2321 3165 5275 6963 11605 15825 34815 58025 174075 827903 2483709 4139515 9106933 12418545 20697575 27320799 45534665 62092725 136603995 174687533 227673325 524062599 683019975 873437665 1921562863 2620312995 4367188325 5764688589 9607814315 13101564975 28823442945 48039071575 144117214725