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1042413033330 = 2325412539111263
BaseRepresentation
bin11110010101101001010…
…10001001011101110010
310200122122120000202102100
433022310222021131302
5114034330214031310
62114513345001230
7135211652405304
oct17126452113562
93618576022370
101042413033330
113720a2a88659
1214a03a023216
13773b724b176
143864b2a7974
151c1aeeeaec0
hexf2b4a89772

1042413033330 has 96 divisors (see below), whose sum is σ = 2777496583680. Its totient is φ = 271087637760.

The previous prime is 1042413033329. The next prime is 1042413033379. The reversal of 1042413033330 is 333303142401.

1042413033330 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 1 + 303 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1042413033294 and 1042413033303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9313279 + ... + 9424541.

It is an arithmetic number, because the mean of its divisors is an integer number (28932256080).

Almost surely, 21042413033330 is an apocalyptic number.

1042413033330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042413033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388748291840).

1042413033330 is an abundant number, since it is smaller than the sum of its proper divisors (1735083550350).

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

1042413033330 is a wasteful number, since it uses less digits than its factorization.

1042413033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113856 (or 113853 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1042413033330 its reverse (333303142401), we get a palindrome (1375716175731).

The spelling of 1042413033330 in words is "one trillion, forty-two billion, four hundred thirteen million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 2539 3690 5078 7617 12695 15234 22851 25390 38085 45702 76170 104099 111263 114255 208198 222526 228510 312297 333789 520495 556315 624594 667578 936891 1001367 1040990 1112630 1561485 1668945 1873782 2002734 3122970 3337890 4561783 4684455 5006835 9123566 9368910 10013670 13685349 22808915 27370698 41056047 45617830 68426745 82112094 136853490 205280235 282496757 410560470 564993514 847490271 1412483785 1694980542 2542470813 2824967570 4237451355 5084941626 8474902710 11582367037 12712354065 23164734074 25424708130 34747101111 57911835185 69494202222 104241303333 115823670370 173735505555 208482606666 347471011110 521206516665 1042413033330