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242330242344320 = 27513197919404551
BaseRepresentation
bin110111000110010111101000…
…000000110110010110000000
31011210000112201020122012212202
4313012113220000312112000
5223230314314020004240
62215220550530212332
7102020532211446104
oct6706275000662600
91153015636565782
10242330242344320
11702397512a3399
1223219283a240a8
13a52a84a5735b0
1443babbc3c1904
151d03874492315
hexdc65e8036580

242330242344320 has 256 divisors, whose sum is σ = 665032806144000. Its totient is φ = 83693531750400.

The previous prime is 242330242344319. The next prime is 242330242344361. The reversal of 242330242344320 is 23443242033242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786045 + ... + 22190595.

It is an arithmetic number, because the mean of its divisors is an integer number (2597784399000).

Almost surely, 2242330242344320 is an apocalyptic number.

242330242344320 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 242330242344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332516403072000).

242330242344320 is an abundant number, since it is smaller than the sum of its proper divisors (422702563799680).

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

242330242344320 is a wasteful number, since it uses less digits than its factorization.

242330242344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19404681 (or 19404669 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 242330242344320 its reverse (23443242033242), we get a palindrome (265773484377562).

The spelling of 242330242344320 in words is "two hundred forty-two trillion, three hundred thirty billion, two hundred forty-two million, three hundred forty-four thousand, three hundred twenty".