Search a number
-
+
114512222340320 = 25572947439170873
BaseRepresentation
bin11010000010010111110100…
…010101011100010011100000
3120000110021001122221102012212
4122002113310111130103200
5110002132012404342240
61043314104432141252
733056143422550520
oct3202276425342340
9500407048842185
10114512222340320
113353a3a7202462
1210a1529b697828
134bb85c145919c
14203c5c783b680
15d38ad4340165
hex6825f455c4e0

114512222340320 has 384 divisors, whose sum is σ = 327395677593600. Its totient is φ = 37016222810112.

The previous prime is 114512222340301. The next prime is 114512222340359. The reversal of 114512222340320 is 23043222215411.

114512222340320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1145122223403202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670074404 + ... + 670245276.

It is an arithmetic number, because the mean of its divisors is an integer number (852592910400).

Almost surely, 2114512222340320 is an apocalyptic number.

114512222340320 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 114512222340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163697838796800).

114512222340320 is an abundant number, since it is smaller than the sum of its proper divisors (212883455253280).

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

114512222340320 is a wasteful number, since it uses less digits than its factorization.

114512222340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171410 (or 171402 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 114512222340320 its reverse (23043222215411), we get a palindrome (137555444555731).

The spelling of 114512222340320 in words is "one hundred fourteen trillion, five hundred twelve billion, two hundred twenty-two million, three hundred forty thousand, three hundred twenty".