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144998640 = 2433567129
BaseRepresentation
bin10001010010010…
…00000011110000
3101002211200202000
420221020003300
5244104424030
622215454000
73410316363
oct1051100360
9332750660
10144998640
1174936696
1240687300
132406a617
14153860da
15cae2860
hex8a480f0

144998640 has 80 divisors (see below), whose sum is σ = 499447200. Its totient is φ = 38665728.

The previous prime is 144998639. The next prime is 144998641. The reversal of 144998640 is 46899441.

It is an interprime number because it is at equal distance from previous prime (144998639) and next prime (144998641).

It is a tau number, because it is divible by the number of its divisors (80).

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 (144998641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31405 + ... + 35724.

It is an arithmetic number, because the mean of its divisors is an integer number (6243090).

Almost surely, 2144998640 is an apocalyptic number.

144998640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144998640 is an abundant number, since it is smaller than the sum of its proper divisors (354448560).

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

144998640 is a wasteful number, since it uses less digits than its factorization.

144998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67151 (or 67139 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 144998640 is about 12041.5381077336. The cubic root of 144998640 is about 525.3571447431.

The spelling of 144998640 in words is "one hundred forty-four million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 67129 134258 201387 268516 335645 402774 537032 604161 671290 805548 1006935 1074064 1208322 1342580 1611096 1812483 2013870 2416644 2685160 3020805 3222192 3624966 4027740 4833288 5370320 6041610 7249932 8055480 9062415 9666576 12083220 14499864 16110960 18124830 24166440 28999728 36249660 48332880 72499320 144998640