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144217092 = 223101257463
BaseRepresentation
bin10001001100010…
…01010000000100
3101001100222122210
420212021100010
5243404421332
622151023420
73400552665
oct1046112004
9331328583
10144217092
1174452488
124036ab70
1323b55976
141522136c
15c9daecc
hex8989404

144217092 has 48 divisors (see below), whose sum is σ = 341897472. Its totient is φ = 47308800.

The previous prime is 144217079. The next prime is 144217109. The reversal of 144217092 is 290712441.

144217092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311253 + ... + 311715.

It is an arithmetic number, because the mean of its divisors is an integer number (7122864).

Almost surely, 2144217092 is an apocalyptic number.

144217092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144217092 is an abundant number, since it is smaller than the sum of its proper divisors (197680380).

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

144217092 is a wasteful number, since it uses less digits than its factorization.

144217092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144217092 is about 12009.0420933562. The cubic root of 144217092 is about 524.4115456570.

The spelling of 144217092 in words is "one hundred forty-four million, two hundred seventeen thousand, ninety-two".

Divisors: 1 2 3 4 6 12 101 202 257 303 404 463 514 606 771 926 1028 1212 1389 1542 1852 2778 3084 5556 25957 46763 51914 77871 93526 103828 118991 140289 155742 187052 237982 280578 311484 356973 475964 561156 713946 1427892 12018091 24036182 36054273 48072364 72108546 144217092