Search a number
-
+
144560064220 = 225111359856703
BaseRepresentation
bin1000011010100001110…
…0111000011011011100
3111211010122021010212121
42012220130320123130
54332024334023340
6150224315512324
713305222162115
oct2065034703334
9454118233777
10144560064220
1156342429960
1224024a586a4
131082a538a50
146dd50d120c
153b6122694a
hex21a87386dc

144560064220 has 96 divisors (see below), whose sum is σ = 362694205440. Its totient is φ = 47701167360.

The previous prime is 144560064217. The next prime is 144560064239. The reversal of 144560064220 is 22460065441.

It is a super-2 number, since 2×1445600642202 (a number of 23 digits) contains 22 as substring.

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, 259612 + ... + 597091.

It is an arithmetic number, because the mean of its divisors is an integer number (3778064640).

Almost surely, 2144560064220 is an apocalyptic number.

144560064220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144560064220 is an abundant number, since it is smaller than the sum of its proper divisors (218134141220).

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

144560064220 is a wasteful number, since it uses less digits than its factorization.

144560064220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856795 (or 856793 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 144560064220 in words is "one hundred forty-four billion, five hundred sixty million, sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 59 65 110 118 130 143 220 236 260 286 295 572 590 649 715 767 1180 1298 1430 1534 2596 2860 3068 3245 3835 6490 7670 8437 12980 15340 16874 33748 42185 84370 168740 856703 1713406 3426812 4283515 8567030 9423733 11137139 17134060 18847466 22274278 37694932 44548556 47118665 50545477 55685695 94237330 101090954 111371390 122508529 188474660 202181908 222742780 245017058 252727385 490034116 505454770 556000247 612542645 657091201 1010909540 1112000494 1225085290 1314182402 2224000988 2450170580 2628364804 2780001235 3285456005 5560002470 6570912010 7228003211 11120004940 13141824020 14456006422 28912012844 36140016055 72280032110 144560064220