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23342042000 = 2453293773149
BaseRepresentation
bin10101101111010010…
…110100101110010000
32020020202011121000002
4111233102310232100
5340301030321000
614420112545132
71454303040404
oct255722645620
966222147002
1023342042000
119998a79702
1246352521a8
13227cbba094
1411b60c7104
159193758d5
hex56f4b4b90

23342042000 has 320 divisors, whose sum is σ = 61194744000. Its totient is φ = 8592998400.

The previous prime is 23342041949. The next prime is 23342042023. The reversal of 23342042000 is 24024332.

It can be written as a sum of positive squares in 32 ways, for example, as 22071262096 + 1270779904 = 148564^2 + 35648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156657926 + ... + 156658074.

It is an arithmetic number, because the mean of its divisors is an integer number (191233575).

Almost surely, 223342042000 is an apocalyptic number.

23342042000 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 23342042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30597372000).

23342042000 is an abundant number, since it is smaller than the sum of its proper divisors (37852702000).

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

23342042000 is a wasteful number, since it uses less digits than its factorization.

23342042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23342042000 its reverse (24024332), we get a palindrome (23366066332).

The spelling of 23342042000 in words is "twenty-three billion, three hundred forty-two million, forty-two thousand".