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144733716 = 22351719461
BaseRepresentation
bin10001010000001…
…11011000010100
3101002100020100000
420220013120110
5244022434331
622210051300
73405134121
oct1050073024
9332306300
10144733716
1174775646
1240579b30
1323ca6b6a
1415317748
15ca8e0e6
hex8a07614

144733716 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 42923520.

The previous prime is 144733639. The next prime is 144733717. The reversal of 144733716 is 617337441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144733717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313726 + ... + 314186.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2144733716 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 144733716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

144733716 is an abundant number, since it is smaller than the sum of its proper divisors (279049644).

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

144733716 is a wasteful number, since it uses less digits than its factorization.

144733716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 144733716 is about 12030.5326565369. The cubic root of 144733716 is about 525.0369933116.

The spelling of 144733716 in words is "one hundred forty-four million, seven hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 243 306 323 324 342 459 461 486 513 612 646 684 918 922 969 972 1026 1292 1377 1383 1539 1836 1844 1938 2052 2754 2766 2907 3078 3876 4131 4149 4617 5508 5532 5814 6156 7837 8262 8298 8721 8759 9234 11628 12447 15674 16524 16596 17442 17518 18468 23511 24894 26163 26277 31348 34884 35036 37341 47022 49788 52326 52554 70533 74682 78489 78831 94044 104652 105108 112023 141066 148903 149364 156978 157662 211599 224046 236493 282132 297806 313956 315324 423198 446709 448092 472986 595612 634797 709479 846396 893418 945972 1269594 1340127 1418958 1786836 1904391 2128437 2539188 2680254 2837916 3808782 4020381 4256874 5360508 7617564 8040762 8513748 12061143 16081524 24122286 36183429 48244572 72366858 144733716