Search a number
-
+
144908829624 = 2331336145053
BaseRepresentation
bin1000011011110100111…
…1010100001110111000
3111212000221112021001210
42012331033110032320
54333233130021444
6150323055043120
713316655504636
oct2067517241670
9455027467053
10144908829624
1156501290529
12241018104a0
131088487c000
14702955a356
153b81b697b9
hex21bd3d43b8

144908829624 has 128 divisors (see below), whose sum is σ = 398890094400. Its totient is φ = 43855418880.

The previous prime is 144908829553. The next prime is 144908829661. The reversal of 144908829624 is 426928809441.

It is a happy number.

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, 3193882 + ... + 3238934.

Almost surely, 2144908829624 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 144908829624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199445047200).

144908829624 is an abundant number, since it is smaller than the sum of its proper divisors (253981264776).

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

144908829624 is a wasteful number, since it uses less digits than its factorization.

144908829624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45162 (or 45132 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 144908829624 in words is "one hundred forty-four billion, nine hundred eight million, eight hundred twenty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 169 183 244 312 338 366 488 507 676 732 793 1014 1352 1464 1586 2028 2197 2379 3172 4056 4394 4758 6344 6591 8788 9516 10309 13182 17576 19032 20618 26364 30927 41236 45053 52728 61854 82472 90106 123708 134017 135159 180212 247416 268034 270318 360424 402051 536068 540636 585689 804102 1072136 1081272 1171378 1608204 1757067 2342756 2748233 3216408 3514134 4685512 5496466 7028268 7613957 8244699 10992932 14056536 15227914 16489398 21985864 22841871 30455828 32978796 35727029 45683742 60911656 65957592 71454058 91367484 98981441 107181087 142908116 182734968 197962882 214362174 285816232 296944323 395925764 428724348 464451377 593888646 791851528 857448696 928902754 1187777292 1393354131 1857805508 2375554584 2786708262 3715611016 5573416524 6037867901 11146833048 12075735802 18113603703 24151471604 36227207406 48302943208 72454414812 144908829624