Search a number
-
+
1085547042240 = 26351779163559
BaseRepresentation
bin11111100101111111010…
…01010101010111000000
310211202222122021102220220
433302333221111113000
5120241200020322430
62150405440303040
7141266603420313
oct17627751252700
93752878242826
101085547042240
11389418006a01
12156477611a80
137b49c6a536b
143a77dba297a
151d386be8110
hexfcbfa555c0

1085547042240 has 112 divisors (see below), whose sum is σ = 3446859816960. Its totient is φ = 289458385920.

The previous prime is 1085547042143. The next prime is 1085547042329. The reversal of 1085547042240 is 422407455801.

It is a super-3 number, since 3×10855470422403 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1085547042192 and 1085547042201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17047581 + ... + 17111139.

It is an arithmetic number, because the mean of its divisors is an integer number (30775534080).

Almost surely, 21085547042240 is an apocalyptic number.

1085547042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085547042240 is an abundant number, since it is smaller than the sum of its proper divisors (2361312774720).

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

1085547042240 is a wasteful number, since it uses less digits than its factorization.

1085547042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81370 (or 81360 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 1085547042240 in words is "one trillion, eighty-five billion, five hundred forty-seven million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 17791 35582 53373 63559 71164 88955 106746 127118 142328 177910 190677 213492 254236 266865 284656 317795 355820 381354 426984 508472 533730 569312 635590 711640 762708 853968 953385 1016944 1067460 1138624 1271180 1423280 1525416 1707936 1906770 2033888 2134920 2542360 2846560 3050832 3415872 3813540 4067776 4269840 5084720 5693120 6101664 7627080 8539680 10169440 12203328 15254160 17079360 20338880 30508320 61016640 1130778169 2261556338 3392334507 4523112676 5653890845 6784669014 9046225352 11307781690 13569338028 16961672535 18092450704 22615563380 27138676056 33923345070 36184901408 45231126760 54277352112 67846690140 72369802816 90462253520 108554704224 135693380280 180924507040 217109408448 271386760560 361849014080 542773521120 1085547042240