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1342463644512 = 2532231511342163
BaseRepresentation
bin10011100010010001000…
…100011001001101100000
311202100010121012002122200
4103202101010121031200
5133443331143111022
62504415210533200
7165663333462264
oct23422104311540
94670117162580
101342463644512
11478376802881
12198218437200
13997946ba403
1448d930220a4
1524dc1d55bac
hex13891119360

1342463644512 has 144 divisors (see below), whose sum is σ = 4009999488768. Its totient is φ = 425196921600.

The previous prime is 1342463644481. The next prime is 1342463644537. The reversal of 1342463644512 is 2154463642431.

1342463644512 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 636 + 4 + 4 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329143 + ... + 1671305.

It is an arithmetic number, because the mean of its divisors is an integer number (27847218672).

Almost surely, 21342463644512 is an apocalyptic number.

1342463644512 is a gapful number since it is divisible by the number (12) 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 1342463644512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004999744384).

1342463644512 is an abundant number, since it is smaller than the sum of its proper divisors (2667535844256).

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

1342463644512 is a wasteful number, since it uses less digits than its factorization.

1342463644512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342353 (or 1342342 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 1342463644512 in words is "one trillion, three hundred forty-two billion, four hundred sixty-three million, six hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 151 184 207 276 288 302 368 414 453 552 604 736 828 906 1104 1208 1359 1656 1812 2208 2416 2718 3312 3473 3624 4832 5436 6624 6946 7248 10419 10872 13892 14496 20838 21744 27784 31257 41676 43488 55568 62514 83352 111136 125028 166704 250056 333408 500112 1000224 1342163 2684326 4026489 5368652 8052978 10737304 12079467 16105956 21474608 24158934 30869749 32211912 42949216 48317868 61739498 64423824 92609247 96635736 123478996 128847648 185218494 193271472 202666613 246957992 277827741 370436988 386542944 405333226 493915984 555655482 607999839 740873976 810666452 987831968 1111310964 1215999678 1481747952 1621332904 1823999517 2222621928 2431999356 2963495904 3242665808 3647999034 4445243856 4661332099 4863998712 6485331616 7295998068 8890487712 9322664198 9727997424 13983996297 14591996136 18645328396 19455994848 27967992594 29183992272 37290656792 41951988891 55935985188 58367984544 74581313584 83903977782 111871970376 149162627168 167807955564 223743940752 335615911128 447487881504 671231822256 1342463644512