Search a number
-
+
113455331040 = 25352310276751
BaseRepresentation
bin110100110101001110…
…1101111011011100000
3101211211220012222110210
41221222131233123200
53324324031043130
6124042021254120
711124346254612
oct1515235573340
9354756188423
10113455331040
11441306384a7
1219ba3b64340
13a91132679c
1456c4074db2
152e4062e5b0
hex1a6a76f6e0

113455331040 has 96 divisors (see below), whose sum is σ = 372922776576. Its totient is φ = 28939328000.

The previous prime is 113455331029. The next prime is 113455331057. The reversal of 113455331040 is 40133554311.

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

It is a super-2 number, since 2×1134553310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113455330989 and 113455331007.

It is a congruent number.

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, 5127336 + ... + 5149415.

It is an arithmetic number, because the mean of its divisors is an integer number (3884612256).

Almost surely, 2113455331040 is an apocalyptic number.

113455331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113455331040 is an abundant number, since it is smaller than the sum of its proper divisors (259467445536).

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

113455331040 is a wasteful number, since it uses less digits than its factorization.

113455331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276792 (or 10276784 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 113455331040 its reverse (40133554311), we get a palindrome (153588885351).

The spelling of 113455331040 in words is "one hundred thirteen billion, four hundred fifty-five million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 10276751 20553502 30830253 41107004 51383755 61660506 82214008 102767510 123321012 154151265 164428016 205535020 236365273 246642024 308302530 328856032 411070040 472730546 493284048 616605060 709095819 822140080 945461092 986568096 1181826365 1233210120 1418191638 1644280160 1890922184 2363652730 2466420240 2836383276 3545479095 3781844368 4727305460 4932840480 5672766552 7090958190 7563688736 9454610920 11345533104 14181916380 18909221840 22691066208 28363832760 37818443680 56727665520 113455331040