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2423201413120 = 211519313831049
BaseRepresentation
bin100011010000110010000…
…011110011100000000000
322120122201001222010101221
4203100302003303200000
5304200204030204440
65053111532004424
7340033122106645
oct43206203634000
98518631863357
102423201413120
11854746030274
12331771300714
131476788c2117
14853d81addcc
154307671dd4a
hex234320f3800

2423201413120 has 384 divisors, whose sum is σ = 6340239360000. Its totient is φ = 885479178240.

The previous prime is 2423201413037. The next prime is 2423201413123. The reversal of 2423201413120 is 213141023242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423201413123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310010356 + ... + 2310011404.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040000).

Almost surely, 22423201413120 is an apocalyptic number.

2423201413120 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 2423201413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680000).

2423201413120 is an abundant number, since it is smaller than the sum of its proper divisors (3917037946880).

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

2423201413120 is a wasteful number, since it uses less digits than its factorization.

2423201413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2423201413120 its reverse (213141023242), we get a palindrome (2636342436362).

The spelling of 2423201413120 in words is "two trillion, four hundred twenty-three billion, two hundred one million, four hundred thirteen thousand, one hundred twenty".