Search a number
-
+
1112472291920 = 245119711301929
BaseRepresentation
bin10000001100000100100…
…001000000101001010000
310221100111002212211210112
4100030010201000221100
5121211320401320140
62211021314020452
7143242046313443
oct20140441005120
93840432784715
101112472291920
11399884674570
1215b730877728
1380ba0a43172
143bbb5b0765a
151de10914c65
hex10304840a50

1112472291920 has 80 divisors (see below), whose sum is σ = 2824542342720. Its totient is φ = 404118451200.

The previous prime is 1112472291881. The next prime is 1112472291923. The reversal of 1112472291920 is 291922742111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112472291923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203516 + ... + 1505444.

It is an arithmetic number, because the mean of its divisors is an integer number (35306779284).

Almost surely, 21112472291920 is an apocalyptic number.

1112472291920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112472291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412271171360).

1112472291920 is an abundant number, since it is smaller than the sum of its proper divisors (1712070050800).

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

1112472291920 is a wasteful number, since it uses less digits than its factorization.

1112472291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302924 (or 1302918 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 1112472291920 in words is "one trillion, one hundred twelve billion, four hundred seventy-two million, two hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 971 1942 3884 4855 7768 9710 10681 15536 19420 21362 38840 42724 53405 77680 85448 106810 170896 213620 427240 854480 1301929 2603858 5207716 6509645 10415432 13019290 14321219 20830864 26038580 28642438 52077160 57284876 71606095 104154320 114569752 143212190 229139504 286424380 572848760 1145697520 1264173059 2528346118 5056692236 6320865295 10113384472 12641730590 13905903649 20226768944 25283461180 27811807298 50566922360 55623614596 69529518245 101133844720 111247229192 139059036490 222494458384 278118072980 556236145960 1112472291920