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34170141096 = 233271323112941
BaseRepresentation
bin11111110100101100…
…101111100110101000
310021012101011000112100
4133310230233212220
51024440024003341
623410400413400
72316524256420
oct376454574650
9107171130470
1034170141096
1113545176833
126757617260
1332b7318100
14192220b480
15d4ecab3b6
hex7f4b2f9a8

34170141096 has 288 divisors, whose sum is σ = 118229829120. Its totient is φ = 8720524800.

The previous prime is 34170141029. The next prime is 34170141149. The reversal of 34170141096 is 69014107143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34170141096.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2633986 + ... + 2646926.

It is an arithmetic number, because the mean of its divisors is an integer number (410520240).

Almost surely, 234170141096 is an apocalyptic number.

34170141096 is a gapful number since it is divisible by the number (36) 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 34170141096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59114914560).

34170141096 is an abundant number, since it is smaller than the sum of its proper divisors (84059688024).

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

34170141096 is a wasteful number, since it uses less digits than its factorization.

34170141096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 34170141096 in words is "thirty-four billion, one hundred seventy million, one hundred forty-one thousand, ninety-six".