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144443670 = 23572971013
BaseRepresentation
bin10001001110000…
…00100100010110
3101001210111110120
420213000210112
5243434144140
622155532410
73402515400
oct1047004426
9331714416
10144443670
1174597738
124045a106
1323c04b37
141527db70
15ca331d0
hex89c0916

144443670 has 96 divisors (see below), whose sum is σ = 407822688. Its totient is φ = 32643072.

The previous prime is 144443659. The next prime is 144443699. The reversal of 144443670 is 76344441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142084 + ... + 143096.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2144443670 is an apocalyptic number.

144443670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144443670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

144443670 is an abundant number, since it is smaller than the sum of its proper divisors (263379018).

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

144443670 is a wasteful number, since it uses less digits than its factorization.

144443670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 144443670 is about 12018.4720326670. The cubic root of 144443670 is about 524.6860344990.

The spelling of 144443670 in words is "one hundred forty-four million, four hundred forty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 970 1013 1358 1455 1470 2026 2037 2910 3039 3395 4074 4753 5065 6078 6790 7091 9506 10130 10185 14182 14259 15195 20370 21273 23765 28518 30390 35455 42546 47530 49637 70910 71295 98261 99274 106365 142590 148911 196522 212730 248185 294783 297822 491305 496370 589566 687827 744555 982610 1375654 1473915 1489110 2063481 2947830 3439135 4126962 4814789 6878270 9629578 10317405 14444367 20634810 24073945 28888734 48147890 72221835 144443670