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2320314341400 = 23335211187920789
BaseRepresentation
bin100001110000111101100…
…000110001100000011000
322012211010200210100022000
4201300331200301200120
5301004000432411100
64533534313001000
7326431360324506
oct41607540614030
98184120710260
102320314341400
11815048a56490
123158386b3160
1313aa5cc1a323
1480437941676
1540553cea900
hex21c3d831818

2320314341400 has 384 divisors, whose sum is σ = 8723816640000. Its totient is φ = 562174041600.

The previous prime is 2320314341399. The next prime is 2320314341407. The reversal of 2320314341400 is 41434130232.

2320314341400 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 314 + 341 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320314341407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111602206 + ... + 111622994.

It is an arithmetic number, because the mean of its divisors is an integer number (22718272500).

Almost surely, 22320314341400 is an apocalyptic number.

2320314341400 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 2320314341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361908320000).

2320314341400 is an abundant number, since it is smaller than the sum of its proper divisors (6403502298600).

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

2320314341400 is a wasteful number, since it uses less digits than its factorization.

2320314341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22704 (or 22689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2320314341400 its reverse (41434130232), we get a palindrome (2361748471632).

The spelling of 2320314341400 in words is "two trillion, three hundred twenty billion, three hundred fourteen million, three hundred forty-one thousand, four hundred".