Search a number
-
+
23143265414010 = 23257534911411649
BaseRepresentation
bin1010100001100011101100…
…00111010010101101111010
310000221110210221212212202200
411100301312013102231322
511013134401421222020
6121115511440411030
74606021456141530
oct520616607225572
9100843727785680
1023143265414010
117413004a89815
1227193a0916a76
13cbb529068761
145a01d6318150
152a2021d1b590
hex150c761d2b7a

23143265414010 has 192 divisors, whose sum is σ = 70208830598400. Its totient is φ = 5179505909760.

The previous prime is 23143265413999. The next prime is 23143265414011. The reversal of 23143265414010 is 1041456234132.

23143265414010 is a `hidden beast` number, since 2 + 3 + 1 + 43 + 26 + 541 + 40 + 10 = 666.

It is a super-2 number, since 2×231432654140102 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23143265414011) by changing a digit.

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, 15688666 + ... + 17100314.

It is an arithmetic number, because the mean of its divisors is an integer number (365670992700).

Almost surely, 223143265414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143265414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35104415299200).

23143265414010 is an abundant number, since it is smaller than the sum of its proper divisors (47065565184390).

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

23143265414010 is a wasteful number, since it uses less digits than its factorization.

23143265414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412213 (or 1412210 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23143265414010 in words is "twenty-three trillion, one hundred forty-three billion, two hundred sixty-five million, four hundred fourteen thousand, ten".