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144754226672 = 24115315518249
BaseRepresentation
bin1000011011010000000…
…1100011010111110000
3111211122011121121200112
42012310001203113300
54332424040223142
6150255453240452
713313100424316
oct2066401432760
9454564547615
10144754226672
1156431a94aa0
1224079a93128
131085b82ac83
147012bd40b6
153b732cb382
hex21b40635f0

144754226672 has 40 divisors (see below), whose sum is σ = 311730606000. Its totient is φ = 64555911680.

The previous prime is 144754226647. The next prime is 144754226677. The reversal of 144754226672 is 276622457441.

It is a super-2 number, since 2×1447542266722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144754226672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144754226677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7749797 + ... + 7768452.

It is an arithmetic number, because the mean of its divisors is an integer number (7793265150).

Almost surely, 2144754226672 is an apocalyptic number.

It is an amenable number.

144754226672 is an abundant number, since it is smaller than the sum of its proper divisors (166976379328).

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

144754226672 is a wasteful number, since it uses less digits than its factorization.

144754226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15518321 (or 15518315 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 50.

The spelling of 144754226672 in words is "one hundred forty-four billion, seven hundred fifty-four million, two hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 15518249 31036498 62072996 124145992 170700739 248291984 341401478 682802956 822467197 1365605912 1644934394 2731211824 3289868788 6579737576 9047139167 13159475152 18094278334 36188556668 72377113336 144754226672