Search a number
-
+
23641411056120 = 2332511131187386887
BaseRepresentation
bin1010110000000011100011…
…11010000111000111111000
310002201002121120210110012100
411120001301322013013320
511044320102212243440
6122140414142343400
74660015130216034
oct530016172070770
9102632546713170
1023641411056120
1175952a2235730
122799a4488ab60
1310264b5c73630
145ba3711551c4
152aee79c5a230
hex158071e871f8

23641411056120 has 384 divisors, whose sum is σ = 90343485872640. Its totient is φ = 5285915089920.

The previous prime is 23641411056103. The next prime is 23641411056191. The reversal of 23641411056120 is 2165011414632.

23641411056120 is a `hidden beast` number, since 2 + 3 + 6 + 41 + 41 + 10 + 561 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60913317 + ... + 61300203.

It is an arithmetic number, because the mean of its divisors is an integer number (235269494460).

Almost surely, 223641411056120 is an apocalyptic number.

23641411056120 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 23641411056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171742936320).

23641411056120 is an abundant number, since it is smaller than the sum of its proper divisors (66702074816520).

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

23641411056120 is a wasteful number, since it uses less digits than its factorization.

23641411056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388115 (or 388108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23641411056120 in words is "twenty-three trillion, six hundred forty-one billion, four hundred eleven million, fifty-six thousand, one hundred twenty".