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144506940 = 223567103349
BaseRepresentation
bin10001001110100…
…00000000111100
3101001220201020220
420213100000330
5243443210230
622201141340
73403201014
oct1047200074
9331821226
10144506940
1174630226
124048a850
1323c27886
1415298c44
15ca46d10
hex89d003c

144506940 has 96 divisors (see below), whose sum is σ = 415833600. Its totient is φ = 37483776.

The previous prime is 144506933. The next prime is 144506969. The reversal of 144506940 is 49605441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413886 + ... + 414234.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2144506940 is an apocalyptic number.

144506940 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 144506940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207916800).

144506940 is an abundant number, since it is smaller than the sum of its proper divisors (271326660).

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

144506940 is a wasteful number, since it uses less digits than its factorization.

144506940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 144506940 is about 12021.1039426502. The cubic root of 144506940 is about 524.7626319240.

The spelling of 144506940 in words is "one hundred forty-four million, five hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 103 134 201 206 268 309 335 349 402 412 515 618 670 698 804 1005 1030 1047 1236 1340 1396 1545 1745 2010 2060 2094 3090 3490 4020 4188 5235 6180 6901 6980 10470 13802 20703 20940 23383 27604 34505 35947 41406 46766 69010 70149 71894 82812 93532 103515 107841 116915 138020 140298 143788 179735 207030 215682 233830 280596 350745 359470 414060 431364 467660 539205 701490 718940 1078410 1402980 2156820 2408449 4816898 7225347 9633796 12042245 14450694 24084490 28901388 36126735 48168980 72253470 144506940