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144023031516 = 223713145990397
BaseRepresentation
bin1000011000100001110…
…0010000111011011100
3111202202012202001111110
42012020130100323130
54324424344002031
6150055133222020
713256011366110
oct2061034207334
9452665661443
10144023031516
1156097279281
1223ab5031910
13107731b8910
146d83a59740
153b2dee5c46
hex2188710edc

144023031516 has 96 divisors (see below), whose sum is σ = 413892666880. Its totient is φ = 37957641984.

The previous prime is 144023031491. The next prime is 144023031521. The reversal of 144023031516 is 615130320441.

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, 1548030 + ... + 1638426.

Almost surely, 2144023031516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144023031516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206946333440).

144023031516 is an abundant number, since it is smaller than the sum of its proper divisors (269869635364).

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

144023031516 is a wasteful number, since it uses less digits than its factorization.

144023031516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91883 (or 91881 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 144023031516 its reverse (615130320441), we get a palindrome (759153351957).

The spelling of 144023031516 in words is "one hundred forty-four billion, twenty-three million, thirty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1459 2918 4377 5836 8754 10213 17508 18967 20426 30639 37934 40852 56901 61278 75868 90397 113802 122556 132769 180794 227604 265538 271191 361588 398307 531076 542382 632779 796614 1084764 1175161 1265558 1593228 1898337 2350322 2531116 3525483 3796674 4700644 7050966 7593348 8226127 14101932 16452254 24678381 32904508 49356762 98713524 131889223 263778446 395667669 527556892 791335338 923224561 1582670676 1714559899 1846449122 2769673683 3429119798 3692898244 5143679697 5539347366 6858239596 10287359394 11078694732 12001919293 20574718788 24003838586 36005757879 48007677172 72011515758 144023031516