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341414041020 = 22351323181105143
BaseRepresentation
bin1001111011111011101…
…11001101010110111100
31012122020201202021212020
410331331313031112330
521043203443303040
6420502103440140
733444362315613
oct4757567152674
91178221667766
10341414041020
1112187a364288
1256202a56050
132626cb37920
141274b43887a
158d333b0cd0
hex4f7ddcd5bc

341414041020 has 192 divisors, whose sum is σ = 1080200669184. Its totient is φ = 79941565440.

The previous prime is 341414040949. The next prime is 341414041099. The reversal of 341414041020 is 20140414143.

It is a congruent number.

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, 3194569 + ... + 3299711.

It is an arithmetic number, because the mean of its divisors is an integer number (5626045152).

Almost surely, 2341414041020 is an apocalyptic number.

341414041020 is a gapful number since it is divisible by the number (30) 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 341414041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540100334592).

341414041020 is an abundant number, since it is smaller than the sum of its proper divisors (738786628164).

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

341414041020 is a wasteful number, since it uses less digits than its factorization.

341414041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105372 (or 105370 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 341414041020 its reverse (20140414143), we get a palindrome (361554455163).

The spelling of 341414041020 in words is "three hundred forty-one billion, four hundred fourteen million, forty-one thousand, twenty".