Search a number
-
+
231414540240 = 2435135310611319
BaseRepresentation
bin1101011110000101100…
…0011010011111010000
3211010022200021200021210
43113201120122133100
512242414110241430
6254151012420120
722501445064612
oct3274130323720
9733280250253
10231414540240
118a162525254
1238a24317640
1318a8c784020
14b2b4344db2
1560463662b0
hex35e161a7d0

231414540240 has 320 divisors, whose sum is σ = 788484533760. Its totient is φ = 55793786880.

The previous prime is 231414540193. The next prime is 231414540299. The reversal of 231414540240 is 42045414132.

231414540240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 231414540198 and 231414540207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175446301 + ... + 175447619.

It is an arithmetic number, because the mean of its divisors is an integer number (2464014168).

Almost surely, 2231414540240 is an apocalyptic number.

231414540240 is a gapful number since it is divisible by the number (20) 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 231414540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394242266880).

231414540240 is an abundant number, since it is smaller than the sum of its proper divisors (557069993520).

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

231414540240 is a wasteful number, since it uses less digits than its factorization.

231414540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 231414540240 its reverse (42045414132), we get a palindrome (273459954372).

The spelling of 231414540240 in words is "two hundred thirty-one billion, four hundred fourteen million, five hundred forty thousand, two hundred forty".