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114320035554340 = 225711597297172427
BaseRepresentation
bin11001111111100100110101…
…000111000010010000100100
3112222202212222211121010102111
4121333210311013002100210
5104441004413100214330
61043045522130250404
733036231024043240
oct3177446507022044
9488685884533374
10114320035554340
1133475944831630
12109a3ba4726a04
134ba3443a71595
1420331952c1420
15d33ad6cbc32a
hex67f9351c2424

114320035554340 has 192 divisors, whose sum is σ = 304427179284480. Its totient is φ = 35023279472640.

The previous prime is 114320035554289. The next prime is 114320035554407. The reversal of 114320035554340 is 43455530023411.

It is a super-2 number, since 2×1143200355543402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114320035554293 and 114320035554302.

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, 662919207 + ... + 663091633.

It is an arithmetic number, because the mean of its divisors is an integer number (1585558225440).

Almost surely, 2114320035554340 is an apocalyptic number.

114320035554340 is a gapful number since it is divisible by the number (10) 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 114320035554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152213589642240).

114320035554340 is an abundant number, since it is smaller than the sum of its proper divisors (190107143730140).

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

114320035554340 is a wasteful number, since it uses less digits than its factorization.

114320035554340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179810 (or 179808 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 114320035554340 its reverse (43455530023411), we get a palindrome (157775565577751).

The spelling of 114320035554340 in words is "one hundred fourteen trillion, three hundred twenty billion, thirty-five million, five hundred fifty-four thousand, three hundred forty".