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4032042042340 = 22513711012162579
BaseRepresentation
bin111010101011001000011…
…011110000001111100100
3112021110101221110002210001
4322223020123300033210
51012030110230323330
612324143342111044
7564206521606144
oct72531033601744
915243357402701
104032042042340
111314a856882a4
1255152a87b484
132332b22681c0
14dd21aa68924
156ed38eed9ca
hex3aac86f03e4

4032042042340 has 96 divisors (see below), whose sum is σ = 9338608661760. Its totient is φ = 1453252416000.

The previous prime is 4032042042337. The next prime is 4032042042359. The reversal of 4032042042340 is 432402402304.

It is a happy number.

4032042042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4032042042299 and 4032042042308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783171 + ... + 2945749.

It is an arithmetic number, because the mean of its divisors is an integer number (97277173560).

Almost surely, 24032042042340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032042042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669304330880).

4032042042340 is an abundant number, since it is smaller than the sum of its proper divisors (5306566619420).

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

4032042042340 is a wasteful number, since it uses less digits than its factorization.

4032042042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162773 (or 2162771 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4032042042340 its reverse (432402402304), we get a palindrome (4464444444644).

The spelling of 4032042042340 in words is "four trillion, thirty-two billion, forty-two million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 101 130 142 202 260 284 355 404 505 710 923 1010 1313 1420 1846 2020 2626 3692 4615 5252 6565 7171 9230 13130 14342 18460 26260 28684 35855 71710 93223 143420 186446 372892 466115 932230 1864460 2162579 4325158 8650316 10812895 21625790 28113527 43251580 56227054 112454108 140567635 153543109 218420479 281135270 307086218 436840958 562270540 614172436 767715545 873681916 1092102395 1535431090 1996060417 2184204790 2839466227 3070862180 3992120834 4368409580 5678932454 7984241668 9980302085 11357864908 14197331135 15507854009 19960604170 28394662270 31015708018 39921208340 56789324540 62031416036 77539270045 155078540090 201602102117 310157080180 403204204234 806408408468 1008010510585 2016021021170 4032042042340