Search a number
-
+
523413152240000 = 2754115910081147
BaseRepresentation
bin111011100000010101001111…
…1000000101001000110000000
32112122020210211112010211000012
41313000222133000221012000
51022101100113433140000
65053112403241444052
7215151231564361631
oct16700523700510600
92478223745124005
10523413152240000
111418592a90a5510
124a854b857a0628
13196098578bbc89
14933749040b888
15407a29d396735
hex1dc0a9f029180

523413152240000 has 320 divisors, whose sum is σ = 1445551941556800. Its totient is φ = 187106069760000.

The previous prime is 523413152239951. The next prime is 523413152240003. The reversal of 523413152240000 is 42251314325.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×5234131522400002 (a number of 30 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 not an unprimeable number, because it can be changed into a prime (523413152240003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 46879427 + ... + 56960573.

It is an arithmetic number, because the mean of its divisors is an integer number (4517349817365).

Almost surely, 2523413152240000 is an apocalyptic number.

523413152240000 is a gapful number since it is divisible by the number (50) 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 523413152240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722775970778400).

523413152240000 is an abundant number, since it is smaller than the sum of its proper divisors (922138789316800).

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

523413152240000 is a wasteful number, since it uses less digits than its factorization.

523413152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081251 (or 10081224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 523413152240000 in words is "five hundred twenty-three trillion, four hundred thirteen billion, one hundred fifty-two million, two hundred forty thousand".