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4130042344340 = 2251143539380953
BaseRepresentation
bin111100000110011001101…
…101001111001110010100
3112121211100202022021001212
4330012121231033032110
51020131311320004330
612441152032440552
7604246204461263
oct74063155171624
915554322267055
104130042344340
1113525a5262720
1256851a9a9158
1323c5cc6a7b93
14103c762ac5da
15726728d5295
hex3c199b4f394

4130042344340 has 96 divisors (see below), whose sum is σ = 9683502466176. Its totient is φ = 1466617098240.

The previous prime is 4130042344237. The next prime is 4130042344349. The reversal of 4130042344340 is 434432400314.

It is a junction number, because it is equal to n+sod(n) for n = 4130042344297 and 4130042344306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130042344349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50977304 + ... + 51058256.

It is an arithmetic number, because the mean of its divisors is an integer number (100869817356).

Almost surely, 24130042344340 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 4130042344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841751233088).

4130042344340 is an abundant number, since it is smaller than the sum of its proper divisors (5553460121836).

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

4130042344340 is a wasteful number, since it uses less digits than its factorization.

4130042344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86409 (or 86407 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4130042344340 its reverse (434432400314), we get a palindrome (4564474744654).

The spelling of 4130042344340 in words is "four trillion, one hundred thirty billion, forty-two million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 5393 9460 10786 21572 26965 53930 59323 80953 107860 118646 161906 231899 237292 296615 323812 404765 463798 593230 809530 890483 927596 1159495 1186460 1619060 1780966 2318990 2550889 3480979 3561932 4452415 4637980 5101778 6961958 8904830 10203556 12754445 13923916 17404895 17809660 25508890 34809790 38290769 51017780 69619580 76581538 153163076 191453845 382907690 436579529 765815380 873159058 1746318116 2182897645 4365795290 4802374819 8731590580 9604749638 18772919747 19209499276 24011874095 37545839494 48023748190 75091678988 93864598735 96047496380 187729197470 206502117217 375458394940 413004234434 826008468868 1032510586085 2065021172170 4130042344340