Search a number
-
+
210144140431431 = 3414736350828651
BaseRepresentation
bin101111110001111111111110…
…110101111001000001000111
31000120001120202110111220022020
4233301333332311321001013
5210021000144422301211
62022534515124134223
762156261462303103
oct5761777665710107
91016046673456266
10210144140431431
1160a5a6a1910968
121b69b413537373
139034679a295cb
1439c706020c903
1519464e8468306
hexbf1ffed79047

210144140431431 has 16 divisors (see below), whose sum is σ = 293133082249728. Its totient is φ = 133771049432000.

The previous prime is 210144140431403. The next prime is 210144140431453. The reversal of 210144140431431 is 134134041441012.

It is a cyclic number.

It is not a de Polignac number, because 210144140431431 - 241 = 207945117175879 is a prime.

It is a super-2 number, since 2×2101441404314312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210144140431392 and 210144140431401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210144140431931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18175408545 + ... + 18175420106.

It is an arithmetic number, because the mean of its divisors is an integer number (18320817640608).

Almost surely, 2210144140431431 is an apocalyptic number.

210144140431431 is a deficient number, since it is larger than the sum of its proper divisors (82988941818297).

210144140431431 is a wasteful number, since it uses less digits than its factorization.

210144140431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36350828742.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 210144140431431 its reverse (134134041441012), we get a palindrome (344278181872443).

The spelling of 210144140431431 in words is "two hundred ten trillion, one hundred forty-four billion, one hundred forty million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 41 47 123 141 1927 5781 36350828651 109052485953 1490383974691 1708488946597 4471151924073 5125466839791 70048046810477 210144140431431