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2342103438000 = 2435319181223509
BaseRepresentation
bin100010000101010000001…
…111100101001010110000
322021220101012211010200210
4202011100033211022300
5301333111440004000
64551540352544120
7331132335514464
oct42052017451260
98256335733623
102342103438000
1182330a372237
12319ab9852040
1313cb231681b1
14815036a24a4
1540dcbb69350
hex221503e52b0

2342103438000 has 640 divisors, whose sum is σ = 8043885158400. Its totient is φ = 584630784000.

The previous prime is 2342103437953. The next prime is 2342103438023. The reversal of 2342103438000 is 8343012432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4601381746 + ... + 4601382254.

It is an arithmetic number, because the mean of its divisors is an integer number (12568570560).

Almost surely, 22342103438000 is an apocalyptic number.

2342103438000 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 2342103438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021942579200).

2342103438000 is an abundant number, since it is smaller than the sum of its proper divisors (5701781720400).

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

2342103438000 is a wasteful number, since it uses less digits than its factorization.

2342103438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2342103438000 in words is "two trillion, three hundred forty-two billion, one hundred three million, four hundred thirty-eight thousand".