Search a number
-
+
23949314949120 = 216351121910597
BaseRepresentation
bin1010111001000001000100…
…11010010000000000000000
310010210112100221021211211020
411130200202122100000000
511114341144111332440
6122534055143345440
75021165231142261
oct534404232200000
9103715327254736
1023949314949120
1176a3935a27800
122829655152280
1310495454357b2
145cb21dca4968
152b7e9b27d3d0
hex15c822690000

23949314949120 has 816 divisors, whose sum is σ = 88679534838720. Its totient is φ = 5499802091520.

The previous prime is 23949314949103. The next prime is 23949314949121. The reversal of 23949314949120 is 2194941394932.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (23949314949121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2260003662 + ... + 2260014258.

Almost surely, 223949314949120 is an apocalyptic number.

23949314949120 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 23949314949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44339767419360).

23949314949120 is an abundant number, since it is smaller than the sum of its proper divisors (64730219889600).

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

23949314949120 is a wasteful number, since it uses less digits than its factorization.

23949314949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 23949314949120 in words is "twenty-three trillion, nine hundred forty-nine billion, three hundred fourteen million, nine hundred forty-nine thousand, one hundred twenty".