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2014160112 = 2432173233347
BaseRepresentation
bin111100000001101…
…1010010011110000
312012100222221020200
41320003122103300
513111111110422
6531510235200
7100625035626
oct17003322360
95170887220
102014160112
11943a39338
12482655b00
13261394623
14151703516
15bbc5d2ac
hex780da4f0

2014160112 has 120 divisors (see below), whose sum is σ = 5710174704. Its totient is φ = 662725632.

The previous prime is 2014160101. The next prime is 2014160129. The reversal of 2014160112 is 2110614102.

2014160112 is a `hidden beast` number, since 20 + 1 + 41 + 601 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5804323 + ... + 5804669.

Almost surely, 22014160112 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 2014160112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855087352).

2014160112 is an abundant number, since it is smaller than the sum of its proper divisors (3696014592).

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

2014160112 is a wasteful number, since it uses less digits than its factorization.

2014160112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2014160112 is about 44879.3951830904. The cubic root of 2014160112 is about 1262.8874971961.

Adding to 2014160112 its reverse (2110614102), we get a palindrome (4124774214).

The spelling of 2014160112 in words is "two billion, fourteen million, one hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 233 346 347 466 519 692 694 699 932 1038 1041 1384 1388 1398 1557 1864 2076 2082 2097 2768 2776 2796 3114 3123 3728 4152 4164 4194 5552 5592 6228 6246 8304 8328 8388 11184 12456 12492 16656 16776 24912 24984 33552 40309 49968 60031 80618 80851 120062 120927 161236 161702 180093 240124 241854 242553 322472 323404 360186 362781 480248 483708 485106 540279 644944 646808 720372 725562 727659 960496 967416 970212 1080558 1293616 1440744 1451124 1455318 1934832 1940424 2161116 2881488 2902248 2910636 3880848 4322232 5804496 5821272 8644464 11642544 13987223 27974446 41961669 55948892 83923338 111897784 125885007 167846676 223795568 251770014 335693352 503540028 671386704 1007080056 2014160112