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144837990 = 23351148767
BaseRepresentation
bin10001010001000…
…00110101100110
3101002112112101000
420220200311212
5244034303430
622212214130
73406050123
oct1050406546
9332475330
10144837990
1174836a20
124060a346
132401246b
141534374a
15caaee60
hex8a20d66

144837990 has 64 divisors (see below), whose sum is σ = 421355520. Its totient is φ = 35111520.

The previous prime is 144837967. The next prime is 144837991. The reversal of 144837990 is 99738441.

144837990 is a `hidden beast` number, since 14 + 483 + 79 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144837991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21414 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2144837990 is an apocalyptic number.

144837990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144837990 is an abundant number, since it is smaller than the sum of its proper divisors (276517530).

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

144837990 is a wasteful number, since it uses less digits than its factorization.

144837990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48794 (or 48788 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 144837990 is about 12034.8655995819. The cubic root of 144837990 is about 525.1630513960.

The spelling of 144837990 in words is "one hundred forty-four million, eight hundred thirty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 48767 97534 146301 243835 292602 438903 487670 536437 731505 877806 1072874 1316709 1463010 1609311 2194515 2633418 2682185 3218622 4389030 4827933 5364370 6583545 8046555 9655866 13167090 14483799 16093110 24139665 28967598 48279330 72418995 144837990