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144550140452244 = 2232314317807169159
BaseRepresentation
bin100000110111011110110011…
…110001100001110110010100
3200221210212011211020211122200
4200313132303301201312110
5122421302141423432434
61231233230124124500
742306255143010222
oct4067366361416624
9627725154224580
10144550140452244
114207040896419a
1214266951696730
136287034531a47
14279a39aaa1b12
1511aa132e65199
hex8377b3c61d94

144550140452244 has 144 divisors (see below), whose sum is σ = 385972951203840. Its totient is φ = 45541853501760.

The previous prime is 144550140452243. The next prime is 144550140452261. The reversal of 144550140452244 is 442254041055441.

144550140452244 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 50 + 140 + 452 + 2 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144550140452244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144550140452243) 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, 854437737 + ... + 854606895.

Almost surely, 2144550140452244 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 144550140452244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192986475601920).

144550140452244 is an abundant number, since it is smaller than the sum of its proper divisors (241422810751596).

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

144550140452244 is a wasteful number, since it uses less digits than its factorization.

144550140452244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187050 (or 187045 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 144550140452244 in words is "one hundred forty-four trillion, five hundred fifty billion, one hundred forty million, four hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 2666 3999 5332 7998 11997 15996 17807 23994 35614 47988 53421 71228 106842 160263 169159 213684 320526 338318 507477 552017 641052 676636 765701 1014954 1104034 1522431 1531402 1656051 2029908 2208068 2297103 3044862 3062804 3312102 4594206 4968153 5243929 6089724 6624204 6891309 7273837 9188412 9936306 10487858 13782618 14547674 15731787 19872612 20975716 21821511 23736731 27565236 29095348 31463574 43643022 47195361 47473462 62927148 65464533 71210193 87286044 94390722 94946924 130929066 142420386 188781444 213630579 225488947 261858132 284840772 427261158 450977894 676466841 854522316 901955788 1352933682 2029400523 2705867364 3012214313 4058801046 6024428626 8117602092 9036642939 12048857252 18073285878 27109928817 36146571756 54219857634 93378643703 108439715268 129525215459 186757287406 259050430918 280135931109 373514574812 388575646377 518100861836 560271862218 777151292754 840407793327 1120543724436 1165726939131 1554302585508 1680815586654 2331453878262 3361631173308 4015281679229 4662907756524 8030563358458 12045845037687 16061126716916 24091690075374 36137535113061 48183380150748 72275070226122 144550140452244