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31727008992042 = 23271326312361253
BaseRepresentation
bin1110011011011000001010…
…00110011100101100101010
311011100001221210210112111200
413031230011012130230222
513124303403300221132
6151251104155305030
76453125600535630
oct715540506345452
9134301853715450
1031727008992042
11a122392500071
123684aa714b176
131491ac8683400
147b9849bdb350
153a045b856d7c
hex1cdb0519cb2a

31727008992042 has 144 divisors (see below), whose sum is σ = 85205076098688. Its totient is φ = 8354298476160.

The previous prime is 31727008992031. The next prime is 31727008992061. The reversal of 31727008992042 is 24029980072713.

It is a happy number.

It is a super-2 number, since 2×317270089920422 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31727008992042.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12255888 + ... + 14617140.

It is an arithmetic number, because the mean of its divisors is an integer number (591701917352).

Almost surely, 231727008992042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31727008992042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42602538049344).

31727008992042 is an abundant number, since it is smaller than the sum of its proper divisors (53478067106646).

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

31727008992042 is a wasteful number, since it uses less digits than its factorization.

31727008992042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361925 (or 2361909 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 31727008992042 in words is "thirty-one trillion, seven hundred twenty-seven billion, eight million, nine hundred ninety-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 631 819 1014 1183 1262 1521 1638 1893 2366 3042 3549 3786 4417 5679 7098 8203 8834 10647 11358 13251 16406 21294 24609 26502 39753 49218 57421 73827 79506 106639 114842 147654 172263 213278 319917 344526 516789 639834 746473 959751 1033578 1492946 1919502 2239419 2361253 4478838 4722506 6718257 7083759 13436514 14167518 16528771 21251277 30696289 33057542 42502554 49586313 61392578 92088867 99172626 148758939 184177734 214874023 276266601 297517878 399051757 429748046 552533202 644622069 798103514 1197155271 1289244138 1489950643 1933866207 2394310542 2793362299 2979901286 3591465813 3867732414 4469851929 5586724598 7182931626 8380086897 8939703858 10429654501 13409555787 16760173794 19369358359 20859309002 25140260691 26819111574 31288963503 38738716718 50280521382 58108075077 62577927006 93866890509 116216150154 135585508513 174324225231 187733781018 251801658667 271171017026 348648450462 406756525539 503603317334 755404976001 813513051078 1220269576617 1510809952002 1762611610669 2266214928003 2440539153234 3525223221338 4532429856006 5287834832007 10575669664014 15863504496021 31727008992042