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144310112244 = 22341742162233
BaseRepresentation
bin1000011001100110001…
…1011000111111110100
3111210111012221021020000
42012121203120333310
54331021342042434
6150143430311300
713266065500134
oct2063143307764
9453435837200
10144310112244
1156224329281
1223b751b8530
13107ba81217c
146dadc28ac4
153b49301b99
hex21998d8ff4

144310112244 has 120 divisors (see below), whose sum is σ = 400401856008. Its totient is φ = 45165496320.

The previous prime is 144310112231. The next prime is 144310112251. The reversal of 144310112244 is 442211013441.

144310112244 is a `hidden beast` number, since 1 + 4 + 431 + 0 + 1 + 1 + 224 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29185622244 + 115124490000 = 170838^2 + 339300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2287752 + ... + 2349984.

Almost surely, 2144310112244 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 144310112244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200200928004).

144310112244 is an abundant number, since it is smaller than the sum of its proper divisors (256091743764).

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

144310112244 is a wasteful number, since it uses less digits than its factorization.

144310112244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62687 (or 62676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144310112244 its reverse (442211013441), we get a palindrome (586521125685).

The spelling of 144310112244 in words is "one hundred forty-four billion, three hundred ten million, one hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 421 459 612 842 918 1263 1377 1684 1836 2526 2754 3789 5052 5508 7157 7578 11367 14314 15156 21471 22734 28628 34101 42942 45468 62233 64413 68202 85884 124466 128826 136404 186699 193239 248932 257652 373398 386478 560097 579717 746796 772956 1057961 1120194 1159434 1680291 2115922 2240388 2318868 3173883 3360582 4231844 5040873 6347766 6721164 9521649 10081746 12695532 19043298 20163492 26200093 28564947 38086596 52400186 57129894 78600279 85694841 104800372 114259788 157200558 171389682 235800837 314401116 342779364 445401581 471601674 707402511 890803162 943203348 1336204743 1414805022 1781606324 2122207533 2672409486 2829610044 4008614229 4244415066 5344818972 8017228458 8488830132 12025842687 16034456916 24051685374 36077528061 48103370748 72155056122 144310112244