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144686916 = 2232112943293
BaseRepresentation
bin10001001111110…
…11111101000100
3101002020212010200
420213323331010
5244014440131
622205050500
73404550513
oct1047737504
9332225120
10144686916
1174743470
1240556a30
1323c8b77a
141530467a
15ca802e6
hex89fbf44

144686916 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 41207040.

The previous prime is 144686911. The next prime is 144686921. The reversal of 144686916 is 619686441.

It is an interprime number because it is at equal distance from previous prime (144686911) and next prime (144686921).

It is not an unprimeable number, because it can be changed into a prime (144686911) 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, 493666 + ... + 493958.

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

Almost surely, 2144686916 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 144686916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

144686916 is an abundant number, since it is smaller than the sum of its proper divisors (279096444).

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

144686916 is a wasteful number, since it uses less digits than its factorization.

144686916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

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

The square root of 144686916 is about 12028.5874482418. The cubic root of 144686916 is about 524.9803965469.

The spelling of 144686916 in words is "one hundred forty-four million, six hundred eighty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 43 44 58 66 86 87 99 116 129 132 172 174 198 258 261 293 319 348 387 396 473 516 522 586 638 774 879 946 957 1044 1172 1247 1276 1419 1548 1758 1892 1914 2494 2637 2838 2871 3223 3516 3741 3828 4257 4988 5274 5676 5742 6446 7482 8497 8514 9669 10548 11223 11484 12599 12892 13717 14964 16994 17028 19338 22446 25198 25491 27434 29007 33988 37797 38676 41151 44892 50396 50982 54868 58014 75594 76473 82302 93467 101964 113391 116028 123453 138589 151188 152946 164604 186934 226782 246906 277178 280401 305892 365371 373868 415767 453564 493812 554356 560802 730742 831534 841203 1096113 1121604 1247301 1461484 1663068 1682406 2192226 2494602 3288339 3364812 4019081 4384452 4989204 6576678 8038162 12057243 13153356 16076324 24114486 36171729 48228972 72343458 144686916