Search a number
-
+
142360211111310 = 2355592633775501
BaseRepresentation
bin100000010111100111010001…
…110100000011110110001110
3200200001111120212211210100000
4200113213101310003312032
5122124412203021030220
61222435213402145130
741662120512520203
oct4027472164036616
9620044525753300
10142360211111310
11413a6698938445
1213b724427b21a6
1361586831a848a
1427223b1807caa
15116d1b0bcc390
hex8179d1d03d8e

142360211111310 has 192 divisors, whose sum is σ = 391835491407360. Its totient is φ = 37177378704000.

The previous prime is 142360211111281. The next prime is 142360211111353. The reversal of 142360211111310 is 13111112063241.

142360211111310 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 602 + 1 + 11 + 11 + 31 + 0 = 666.

It is a super-2 number, since 2×1423602111113102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35818560 + ... + 39594060.

It is an arithmetic number, because the mean of its divisors is an integer number (2040809851080).

Almost surely, 2142360211111310 is an apocalyptic number.

142360211111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142360211111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195917745703680).

142360211111310 is an abundant number, since it is smaller than the sum of its proper divisors (249475280296050).

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

142360211111310 is a wasteful number, since it uses less digits than its factorization.

142360211111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775845 (or 3775833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 142360211111310 its reverse (13111112063241), we get a palindrome (155471323174551).

The spelling of 142360211111310 in words is "one hundred forty-two trillion, three hundred sixty billion, two hundred eleven million, one hundred eleven thousand, three hundred ten".