Search a number
-
+
1142122431340 = 2251137140309881
BaseRepresentation
bin10000100111101011110…
…011010100001101101100
311001012000110211222200101
4100213223303110031230
5122203031320300330
62232403411240444
7145341600325552
oct20475363241554
94035013758611
101142122431340
1140040a379120
121654265a9124
13839177a0667
143d3c98bdbd2
151ea989814ca
hex109ebcd436c

1142122431340 has 48 divisors (see below), whose sum is σ = 2687214860064. Its totient is φ = 404092454400.

The previous prime is 1142122431313. The next prime is 1142122431341. The reversal of 1142122431340 is 431342212411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1142122431299 and 1142122431308.

It is not an unprimeable number, because it can be changed into a prime (1142122431341) 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, 70146801 + ... + 70163080.

It is an arithmetic number, because the mean of its divisors is an integer number (55983642918).

Almost surely, 21142122431340 is an apocalyptic number.

1142122431340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142122431340 is an abundant number, since it is smaller than the sum of its proper divisors (1545092428724).

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

1142122431340 is a wasteful number, since it uses less digits than its factorization.

1142122431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140309938 (or 140309936 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1142122431340 its reverse (431342212411), we get a palindrome (1573464643751).

The spelling of 1142122431340 in words is "one trillion, one hundred forty-two billion, one hundred twenty-two million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 140309881 280619762 561239524 701549405 1403098810 1543408691 2806197620 3086817382 5191465597 6173634764 7717043455 10382931194 15434086910 20765862388 25957327985 30868173820 51914655970 57106121567 103829311940 114212243134 228424486268 285530607835 571061215670 1142122431340