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144606644 = 2272131929103
BaseRepresentation
bin10001001111010…
…00010110110100
3101002002210000122
420213220112310
5244004403034
622203231112
73404064500
oct1047502664
9332083018
10144606644
1174699126
1240518498
1323c61080
14152c3300
15ca6662e
hex89e85b4

144606644 has 144 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 51819264.

The previous prime is 144606643. The next prime is 144606647. The reversal of 144606644 is 446606441.

It is a super-2 number, since 2×1446066442 = 41822162977885472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144606643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403897 + ... + 1403999.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2144606644 is an apocalyptic number.

144606644 is a gapful number since it is divisible by the number (14) 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 144606644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

144606644 is an abundant number, since it is smaller than the sum of its proper divisors (203959756).

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

144606644 is a wasteful number, since it uses less digits than its factorization.

144606644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 144606644 is about 12025.2502676659. The cubic root of 144606644 is about 524.8832925764.

The spelling of 144606644 in words is "one hundred forty-four million, six hundred six thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 29 38 49 52 58 76 91 98 103 116 133 182 196 203 206 247 266 364 377 406 412 494 532 551 637 721 754 812 931 988 1102 1274 1339 1421 1442 1508 1729 1862 1957 2204 2548 2639 2678 2842 2884 2987 3458 3724 3857 3914 5047 5278 5356 5684 5974 6916 7163 7714 7828 9373 10094 10556 11948 12103 13699 14326 15428 18473 18746 20188 20909 24206 25441 26999 27398 28652 36946 37492 38831 41818 48412 50141 50882 53998 54796 56753 65611 73892 77662 83636 95893 100282 101764 107996 113506 131222 146363 155324 178087 191786 200564 227012 262444 271817 292726 350987 356174 383572 397271 543634 585452 701974 712348 737789 794542 1087268 1246609 1403948 1475578 1589084 1902719 2493218 2780897 2951156 3805438 4986436 5164523 5561794 7610876 10329046 11123588 20658092 36151661 72303322 144606644