Search a number
-
+
23391346199040 = 293451719379439
BaseRepresentation
bin1010101000110001110001…
…11000011000101000000000
310001211012011010122111220000
411110120320320120220000
511031220434111332130
6121425500332520000
74632653236052421
oct524307070305000
9101735133574800
1023391346199040
1174a923a133396
122759496620000
131008a43626a91
145ac20bc9d648
152a86e13ce260
hex154638e18a00

23391346199040 has 1600 divisors, whose sum is σ = 95911425561600. Its totient is φ = 5410889662464.

The previous prime is 23391346198993. The next prime is 23391346199069. The reversal of 23391346199040 is 4099164319332.

23391346199040 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 13 + 4 + 619 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2478154641 + ... + 2478164079.

It is an arithmetic number, because the mean of its divisors is an integer number (59944640976).

Almost surely, 223391346199040 is an apocalyptic number.

23391346199040 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 23391346199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47955712780800).

23391346199040 is an abundant number, since it is smaller than the sum of its proper divisors (72520079362560).

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

23391346199040 is a wasteful number, since it uses less digits than its factorization.

23391346199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 23391346199040 in words is "twenty-three trillion, three hundred ninety-one billion, three hundred forty-six million, one hundred ninety-nine thousand, forty".