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4034113420240 = 245192887919301
BaseRepresentation
bin111010101101000011111…
…001011011101111010000
3112021122202022010000002001
4322231003321123233100
51012043331013421430
612325125055003344
7564312043203601
oct72550371335720
915248668100061
104034113420240
111315948947162
12551a08509554
132335524442b7
14dd375bc3da8
156ee0acb03ca
hex3ab43e5bbd0

4034113420240 has 80 divisors (see below), whose sum is σ = 9876392334720. Its totient is φ = 1528185484800.

The previous prime is 4034113420213. The next prime is 4034113420241. The reversal of 4034113420240 is 420243114304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4034113420199 and 4034113420208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034113420241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3928590 + ... + 4847890.

It is an arithmetic number, because the mean of its divisors is an integer number (123454904184).

Almost surely, 24034113420240 is an apocalyptic number.

4034113420240 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 4034113420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938196167360).

4034113420240 is an abundant number, since it is smaller than the sum of its proper divisors (5842278914480).

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

4034113420240 is a wasteful number, since it uses less digits than its factorization.

4034113420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922220 (or 922214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4034113420240 its reverse (420243114304), we get a palindrome (4454356534544).

The spelling of 4034113420240 in words is "four trillion, thirty-four billion, one hundred thirteen million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2887 5774 11548 14435 23096 28870 46192 54853 57740 109706 115480 219412 230960 274265 438824 548530 877648 919301 1097060 1838602 2194120 3677204 4388240 4596505 7354408 9193010 14708816 17466719 18386020 34933438 36772040 69866876 73544080 87333595 139733752 174667190 279467504 349334380 698668760 1397337520 2654021987 5308043974 10616087948 13270109935 21232175896 26540219870 42464351792 50426417753 53080439740 100852835506 106160879480 201705671012 212321758960 252132088765 403411342024 504264177530 806822684048 1008528355060 2017056710120 4034113420240