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1040213105520 = 243538915497193
BaseRepresentation
bin11110010001100011000…
…10000101101101110000
310200102222020110211210120
433020301202011231300
5114020324023334040
62113511200530240
7135103310336511
oct17106142055560
93612866424716
101040213105520
113711741a82a6
12149725320980
1377126543634
14384bd048a08
151c0d1ce57d0
hexf231885b70

1040213105520 has 160 divisors (see below), whose sum is σ = 3235487112000. Its totient is φ = 276460019712.

The previous prime is 1040213105483. The next prime is 1040213105527. The reversal of 1040213105520 is 255013120401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040213105527) 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, 144611044 + ... + 144618236.

It is an arithmetic number, because the mean of its divisors is an integer number (20221794450).

Almost surely, 21040213105520 is an apocalyptic number.

1040213105520 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 1040213105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617743556000).

1040213105520 is an abundant number, since it is smaller than the sum of its proper divisors (2195274006480).

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

1040213105520 is a wasteful number, since it uses less digits than its factorization.

1040213105520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1040213105520 its reverse (255013120401), we get a palindrome (1295226225921).

The spelling of 1040213105520 in words is "one trillion, forty billion, two hundred thirteen million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 389 778 1167 1549 1556 1945 2334 3098 3112 3890 4647 4668 5835 6196 6224 7193 7745 7780 9294 9336 11670 12392 14386 15490 15560 18588 18672 21579 23235 23340 24784 28772 30980 31120 35965 37176 43158 46470 46680 57544 61960 71930 74352 86316 92940 93360 107895 115088 123920 143860 172632 185880 215790 287720 345264 371760 431580 575440 602561 863160 1205122 1726320 1807683 2410244 2798077 3012805 3615366 4820488 5596154 6025610 7230732 8394231 9038415 9640976 11141957 11192308 12051220 13990385 14461464 16788462 18076830 22283914 22384616 24102440 27980770 28922928 33425871 33576924 36153660 41971155 44567828 44769232 48204880 55709785 55961540 66851742 67153848 72307320 83942310 89135656 111419570 111923080 133703484 134307696 144614640 167129355 167884620 178271312 222839140 223846160 267406968 334258710 335769240 445678280 534813936 668517420 671538480 891356560 1337034840 2674069680 4334221273 8668442546 13002663819 17336885092 21671106365 26005327638 34673770184 43342212730 52010655276 65013319095 69347540368 86684425460 104021310552 130026638190 173368850920 208042621104 260053276380 346737701840 520106552760 1040213105520