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42323020341000 = 23353724325726053
BaseRepresentation
bin10011001111110000110001…
…00101111101111100001000
312112212001010001112101012220
421213320120211331330020
521021410021201403000
6230002532132134040
711625510620123100
oct1147703045757410
9175761101471186
1042323020341000
1112538101695063
1248b6599a67320
131a80074cbc289
14a64633572200
154d5dbb3851a0
hex267e1897df08

42323020341000 has 768 divisors, whose sum is σ = 157796547068160. Its totient is φ = 9411733094400.

The previous prime is 42323020340981. The next prime is 42323020341013. The reversal of 42323020341000 is 14302032324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1624483974 + ... + 1624510026.

It is an arithmetic number, because the mean of its divisors is an integer number (205464253995).

Almost surely, 242323020341000 is an apocalyptic number.

42323020341000 is a gapful number since it is divisible by the number (40) 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 42323020341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78898273534080).

42323020341000 is an abundant number, since it is smaller than the sum of its proper divisors (115473526727160).

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

42323020341000 is a wasteful number, since it uses less digits than its factorization.

42323020341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26391 (or 26370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42323020341000 its reverse (14302032324), we get a palindrome (42337322373324).

The spelling of 42323020341000 in words is "forty-two trillion, three hundred twenty-three billion, twenty million, three hundred forty-one thousand".