Search a number
-
+
116422342410440 = 235112341307936709
BaseRepresentation
bin11010011110001010110000…
…010111010000000011001000
3120021012212102012211202022002
4122132022300113100003020
5110224430424124113230
61051335404042250132
733344144114344643
oct3236126027200310
9507185365752262
10116422342410440
1134106490191660
121108351aab6948
134cc676ca1b0a1
1420a6c2b326a5a
15d6d62b7ac545
hex69e2b05d00c8

116422342410440 has 128 divisors (see below), whose sum is σ = 285986641248000. Its totient is φ = 42302416665600.

The previous prime is 116422342410419. The next prime is 116422342410443. The reversal of 116422342410440 is 44014243224611.

It is a junction number, because it is equal to n+sod(n) for n = 116422342410394 and 116422342410403.

It is not an unprimeable number, because it can be changed into a prime (116422342410443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171474806 + ... + 3171511514.

It is an arithmetic number, because the mean of its divisors is an integer number (2234270634750).

Almost surely, 2116422342410440 is an apocalyptic number.

116422342410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116422342410440 is an abundant number, since it is smaller than the sum of its proper divisors (169564298837560).

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

116422342410440 is a wasteful number, since it uses less digits than its factorization.

116422342410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42151 (or 42147 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 116422342410440 in words is "one hundred sixteen trillion, four hundred twenty-two billion, three hundred forty-two million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2341 3079 4682 6158 9364 11705 12316 15395 18728 23410 24632 25751 30790 33869 36709 46820 51502 61580 67738 73418 93640 103004 123160 128755 135476 146836 169345 183545 206008 257510 270952 293672 338690 367090 403799 515020 677380 734180 807598 1030040 1354760 1468360 1615196 2018995 3230392 4037990 7207939 8075980 14415878 16151960 28831756 36039695 57663512 72079390 79287329 85935769 113027011 144158780 158574658 171871538 226054022 288317560 317149316 343743076 396436645 429678845 452108044 565135055 634298632 687486152 792873290 859357690 904216088 945293459 1130270110 1243297121 1585746580 1718715380 1890586918 2260540220 2486594242 3171493160 3437430760 3781173836 4521080440 4726467295 4973188484 6216485605 7562347672 9452934590 9946376968 12432971210 18905869180 24865942420 37811738360 49731884840 264596232751 529192465502 1058384931004 1322981163755 2116769862008 2645962327510 2910558560261 5291924655020 5821117120522 10583849310040 11642234241044 14552792801305 23284468482088 29105585602610 58211171205220 116422342410440