Search a number
-
+
1131412420000 = 2554295319157
BaseRepresentation
bin10000011101101101011…
…011110111010110100000
311000011101002002001002201
4100131231123313112200
5122014113034420000
62223432542422544
7144512311614652
oct20355533672640
94004332061081
101131412420000
113a69138a7085
12163337891a54
13828cb97a045
143ca913386d2
151e66d5c496a
hex1076d6f75a0

1131412420000 has 120 divisors (see below), whose sum is σ = 2784532192596. Its totient is φ = 452388096000.

The previous prime is 1131412419959. The next prime is 1131412420013. The reversal of 1131412420000 is 242141311.

It can be written as a sum of positive squares in 10 ways, for example, as 187693431696 + 943718988304 = 433236^2 + 971452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1131412420000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59050422 + ... + 59069578.

Almost surely, 21131412420000 is an apocalyptic number.

1131412420000 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 1131412420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392266096298).

1131412420000 is an abundant number, since it is smaller than the sum of its proper divisors (1653119772596).

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

1131412420000 is an equidigital number, since it uses as much as digits as its factorization.

1131412420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22140 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1131412420000 its reverse (242141311), we get a palindrome (1131654561311).

The spelling of 1131412420000 in words is "one trillion, one hundred thirty-one billion, four hundred twelve million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2953 4000 5000 5906 10000 11812 14765 19157 20000 23624 29530 38314 47248 59060 73825 76628 94496 95785 118120 147650 153256 191570 236240 295300 306512 369125 383140 472480 478925 590600 613024 738250 766280 957850 1181200 1476500 1532560 1845625 1915700 2362400 2394625 2953000 3065120 3691250 3831400 4789250 5906000 7382500 7662800 9578500 11812000 11973125 14765000 15325600 19157000 23946250 29530000 38314000 47892500 56570621 59060000 76628000 95785000 113141242 191570000 226282484 282853105 383140000 452564968 565706210 905129936 1131412420 1414265525 1810259872 2262824840 2828531050 4525649680 5657062100 7071327625 9051299360 11314124200 14142655250 22628248400 28285310500 35356638125 45256496800 56570621000 70713276250 113141242000 141426552500 226282484000 282853105000 565706210000 1131412420000