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115552314223040 = 26510121617165391
BaseRepresentation
bin11010010001100000011110…
…101001000110100111000000
3120011010200201110022111121002
4122101200132221012213000
5110121202114420114130
61045432000022551132
733224244031644152
oct3221403651064700
9504120643274532
10115552314223040
1133900508a33222
1210b629902984a8
134c626c8838146
142076a9472cad2
15d55baa68cb45
hex69181ea469c0

115552314223040 has 112 divisors (see below), whose sum is σ = 277897829353344. Its totient is φ = 45760899072000.

The previous prime is 115552314223009. The next prime is 115552314223061. The reversal of 115552314223040 is 40322413255511.

It is a junction number, because it is equal to n+sod(n) for n = 115552314222985 and 115552314223003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 698578745 + ... + 698744135.

Almost surely, 2115552314223040 is an apocalyptic number.

115552314223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115552314223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138948914676672).

115552314223040 is an abundant number, since it is smaller than the sum of its proper divisors (162345515130304).

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

115552314223040 is a wasteful number, since it uses less digits than its factorization.

115552314223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187126 (or 187116 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 115552314223040 its reverse (40322413255511), we get a palindrome (155874727478551).

The spelling of 115552314223040 in words is "one hundred fifteen trillion, five hundred fifty-two billion, three hundred fourteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3232 4040 6464 8080 16160 21617 32320 43234 86468 108085 165391 172936 216170 330782 345872 432340 661564 691744 826955 864680 1323128 1383488 1653910 1729360 2183317 2646256 3307820 3458720 4366634 5292512 6615640 6917440 8733268 10585024 10916585 13231280 16704491 17466536 21833170 26462560 33408982 34933072 43666340 52925120 66817964 69866144 83522455 87332680 133635928 139732288 167044910 174665360 267271856 334089820 349330720 534543712 668179640 698661440 1069087424 1336359280 2672718560 3575257247 5345437120 7150514494 14301028988 17876286235 28602057976 35752572470 57204115952 71505144940 114408231904 143010289880 228816463808 286020579760 361100981947 572041159520 722201963894 1144082319040 1444403927788 1805504909735 2888807855576 3611009819470 5777615711152 7222019638940 11555231422304 14444039277880 23110462844608 28888078555760 57776157111520 115552314223040