Search a number
-
+
112588428289440 = 2535369191635333
BaseRepresentation
bin11001100110011000001001…
…010001100010010110100000
3112202122100102011000212212210
4121212120021101202112200
5104224122100120230230
61035242224313122120
732500150132123305
oct3146301121422640
9482570364025783
10112588428289440
1132968536660114
12107644849b9340
134aa9073c962cc
141db3447ca30ac
15d03a3b6dceb0
hex6666094625a0

112588428289440 has 96 divisors (see below), whose sum is σ = 354655067953536. Its totient is φ = 30023452298240.

The previous prime is 112588428289427. The next prime is 112588428289483. The reversal of 112588428289440 is 44982824885211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176894014 + ... + 177529346.

It is an arithmetic number, because the mean of its divisors is an integer number (3694323624516).

Almost surely, 2112588428289440 is an apocalyptic number.

112588428289440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112588428289440 is an abundant number, since it is smaller than the sum of its proper divisors (242066639664096).

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

112588428289440 is a wasteful number, since it uses less digits than its factorization.

112588428289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004542 (or 1004534 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 66.

The spelling of 112588428289440 in words is "one hundred twelve trillion, five hundred eighty-eight billion, four hundred twenty-eight million, two hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 369191 635333 738382 1107573 1270666 1476764 1845955 1905999 2215146 2541332 2953528 3176665 3691910 3811998 4430292 5082664 5537865 5907056 6353330 7383820 7623996 8860584 9529995 10165328 11075730 11814112 12706660 14767640 15247992 17721168 19059990 20330656 22151460 25413320 29535280 30495984 35442336 38119980 44302920 50826640 59070560 60991968 76239960 88605840 101653280 152479920 177211680 304959840 234559225603 469118451206 703677676809 938236902412 1172796128015 1407355353618 1876473804824 2345592256030 2814710707236 3518388384045 3752947609648 4691184512060 5629421414472 7036776768090 7505895219296 9382369024120 11258842828944 14073553536180 18764738048240 22517685657888 28147107072360 37529476096480 56294214144720 112588428289440