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144117064 = 23713197963
BaseRepresentation
bin10001001011100…
…00110101001000
3101001011220110001
420211300311020
5243343221224
622144532344
73366655240
oct1045606510
9331156401
10144117064
1174394313
12403210b4
1323b1c290
14151d6b20
15c9bb544
hex8970d48

144117064 has 32 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 57013056.

The previous prime is 144117053. The next prime is 144117073. The reversal of 144117064 is 460711441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98254 + ... + 99709.

It is an arithmetic number, because the mean of its divisors is an integer number (10393110).

Almost surely, 2144117064 is an apocalyptic number.

144117064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144117064 is an abundant number, since it is smaller than the sum of its proper divisors (188462456).

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

144117064 is a wasteful number, since it uses less digits than its factorization.

144117064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197989 (or 197985 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 144117064 is about 12004.8766757514. The cubic root of 144117064 is about 524.2902748476.

The spelling of 144117064 in words is "one hundred forty-four million, one hundred seventeen thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 197963 395926 791852 1385741 1583704 2573519 2771482 5147038 5542964 10294076 11085928 18014633 20588152 36029266 72058532 144117064