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1341148342520 = 235713772748091
BaseRepresentation
bin10011100001000010101…
…010111010100011111000
311202012201221012211112002
4103201002222322203320
5133433132433430040
62504040503240132
7165615622550510
oct23410252724370
94665657184462
101341148342520
11477861303a38
12197b0ba49048
13996150554cc
1448caa47a840
1524d46641a15
hex13842aba8f8

1341148342520 has 128 divisors (see below), whose sum is σ = 3478690575360. Its totient is φ = 455828567040.

The previous prime is 1341148342447. The next prime is 1341148342607. The reversal of 1341148342520 is 252438411431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27863675 + ... + 27911765.

It is an arithmetic number, because the mean of its divisors is an integer number (27177270120).

Almost surely, 21341148342520 is an apocalyptic number.

1341148342520 is a gapful number since it is divisible by the number (10) 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 1341148342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739345287680).

1341148342520 is an abundant number, since it is smaller than the sum of its proper divisors (2137542232840).

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

1341148342520 is a wasteful number, since it uses less digits than its factorization.

1341148342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48973 (or 48969 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 1341148342520 in words is "one trillion, three hundred forty-one billion, one hundred forty-eight million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 727 959 1096 1370 1454 1918 2740 2908 3635 3836 4795 5089 5480 5816 7270 7672 9590 10178 14540 19180 20356 25445 29080 38360 40712 48091 50890 96182 99599 101780 192364 199198 203560 240455 336637 384728 398396 480910 497995 673274 697193 796792 961820 995990 1346548 1394386 1683185 1923640 1991980 2693096 2788772 3366370 3485965 3983960 5577544 6588467 6732740 6971930 13176934 13465480 13943860 26353868 27887720 32942335 34962157 46119269 52707736 65884670 69924314 92238538 131769340 139848628 174810785 184477076 230596345 244735099 263538680 279697256 349621570 368954152 461192690 489470198 699243140 922385380 978940396 1223675495 1398486280 1844770760 1957880792 2447350990 4789815509 4894701980 9579631018 9789403960 19159262036 23949077545 33528708563 38318524072 47898155090 67057417126 95796310180 134114834252 167643542815 191592620360 268229668504 335287085630 670574171260 1341148342520