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4034130441040 = 245729324586363
BaseRepresentation
bin111010101101000100111…
…010010111001101010000
3112021122210111010202020001
4322231010322113031100
51012043344343103130
612325130503455344
7564312340654120
oct72550472271520
915248714122201
104034130441040
111315957512137
12551a12157554
13233555b2368b
14dd378174c80
156ee0c5236ca
hex3ab44e97350

4034130441040 has 80 divisors (see below), whose sum is σ = 10755845831808. Its totient is φ = 1378409799168.

The previous prime is 4034130441037. The next prime is 4034130441073. The reversal of 4034130441040 is 401440314304.

It is a happy number.

4034130441040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12129102 + ... + 12457261.

Almost surely, 24034130441040 is an apocalyptic number.

4034130441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034130441040 is an abundant number, since it is smaller than the sum of its proper divisors (6721715390768).

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

4034130441040 is a wasteful number, since it uses less digits than its factorization.

4034130441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24586676 (or 24586670 counting only the distinct ones).

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

Adding to 4034130441040 its reverse (401440314304), we get a palindrome (4435570755344).

The spelling of 4034130441040 in words is "four trillion, thirty-four billion, one hundred thirty million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8204 10255 11720 16408 20510 23440 32816 41020 82040 164080 24586363 49172726 98345452 122931815 172104541 196690904 245863630 344209082 393381808 491727260 688418164 860522705 983454520 1376836328 1721045410 1966909040 2753672656 3442090820 6884181640 7203804359 13768363280 14407608718 28815217436 36019021795 50426630513 57630434872 72038043590 100853261026 115260869744 144076087180 201706522052 252133152565 288152174360 403413044104 504266305130 576304348720 806826088208 1008532610260 2017065220520 4034130441040