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144664300 = 225211347379
BaseRepresentation
bin10001001111101…
…10011011101100
3101002012201010001
420213312123230
5244013224200
622204354044
73404424544
oct1047663354
9332181101
10144664300
1174728480
1240545924
1323c813a1
14152da324
15ca7876a
hex89f66ec

144664300 has 72 divisors (see below), whose sum is σ = 344352960. Its totient is φ = 52315200.

The previous prime is 144664291. The next prime is 144664301. The reversal of 144664300 is 3466441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144664301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381511 + ... + 381889.

It is an arithmetic number, because the mean of its divisors is an integer number (4782680).

Almost surely, 2144664300 is an apocalyptic number.

144664300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172176480).

144664300 is an abundant number, since it is smaller than the sum of its proper divisors (199688660).

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

144664300 is a wasteful number, since it uses less digits than its factorization.

144664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 144664300 is about 12027.6473177426. The cubic root of 144664300 is about 524.9530419073.

The spelling of 144664300 in words is "one hundred forty-four million, six hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 347 379 550 694 758 1100 1388 1516 1735 1895 3470 3790 3817 4169 6940 7580 7634 8338 8675 9475 15268 16676 17350 18950 19085 20845 34700 37900 38170 41690 76340 83380 95425 104225 131513 190850 208450 263026 381700 416900 526052 657565 1315130 1446643 2630260 2893286 3287825 5786572 6575650 7233215 13151300 14466430 28932860 36166075 72332150 144664300