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3040311432416 = 253141255129303
BaseRepresentation
bin101100001111100000101…
…011101101010011100000
3101202122120112100012220112
4230033200223231103200
5344303024211314131
610244411053230452
7432440515531106
oct54174053552340
911678515305815
103040311432416
11a724305a7585
12411296192428
13190914283aab
14a721a9b1c76
155414374702b
hex2c3e0aed4e0

3040311432416 has 96 divisors (see below), whose sum is σ = 6332094590976. Its totient is φ = 1434625920000.

The previous prime is 3040311432341. The next prime is 3040311432437. The reversal of 3040311432416 is 6142341130403.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 103739621 + ... + 103768923.

It is an arithmetic number, because the mean of its divisors is an integer number (65959318656).

Almost surely, 23040311432416 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 3040311432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166047295488).

3040311432416 is an abundant number, since it is smaller than the sum of its proper divisors (3291783158560).

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

3040311432416 is a wasteful number, since it uses less digits than its factorization.

3040311432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31936 (or 31928 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 3040311432416 its reverse (6142341130403), we get a palindrome (9182652562819).

The spelling of 3040311432416 in words is "three trillion, forty billion, three hundred eleven million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2542 2551 5084 5102 10168 10204 20336 20408 29303 40672 40816 58606 79081 81632 104591 117212 158162 209182 234424 316324 418364 468848 632648 836728 908393 937696 1201423 1265296 1673456 1816786 2402846 2530592 3242321 3346912 3633572 4805692 6484642 7267144 9611384 12969284 14534288 19222768 25938568 29068576 37244113 38445536 51877136 74488226 74751953 103754272 148976452 149503906 297952904 299007812 595905808 598015624 1191811616 1196031248 2317310543 2392062496 3064830073 4634621086 6129660146 9269242172 12259320292 18538484344 24518640584 37076968688 49037281168 74153937376 95009732263 98074562336 190019464526 380038929052 760077858104 1520155716208 3040311432416