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463255120011140 = 2254310317330230021
BaseRepresentation
bin110100101010100111111110…
…0110111100101111110000100
32020202020202102211020021120122
41221111033330313211332010
5441204432441210324030
64321132244132121112
7166402035505431122
oct15125177467457604
92222222384207518
10463255120011140
11124675436234896
1243b59b42466198
1316b64a026758c2
14825794b66a912
1538854de99e8e5
hex1a553fcde5f84

463255120011140 has 96 divisors (see below), whose sum is σ = 1010934499550976. Its totient is φ = 178199438215680.

The previous prime is 463255120011139. The next prime is 463255120011191. The reversal of 463255120011140 is 41110021552364.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 463255120011140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209330 + ... + 30439350.

It is an arithmetic number, because the mean of its divisors is an integer number (10530567703656).

Almost surely, 2463255120011140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463255120011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505467249775488).

463255120011140 is an abundant number, since it is smaller than the sum of its proper divisors (547679379539836).

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

463255120011140 is a wasteful number, since it uses less digits than its factorization.

463255120011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30230349 (or 30230347 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 463255120011140 in words is "four hundred sixty-three trillion, two hundred fifty-five billion, one hundred twenty million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 103 172 173 206 215 346 412 430 515 692 860 865 1030 1730 2060 3460 4429 7439 8858 14878 17716 17819 22145 29756 35638 37195 44290 71276 74390 88580 89095 148780 178190 356380 766217 1532434 3064868 3831085 7662170 15324340 30230021 60460042 120920084 151150105 302300210 604600420 1299890903 2599781806 3113692163 5199563612 5229793633 6227384326 6499454515 10459587266 12454768652 12998909030 15568460815 20919174532 25997818060 26148968165 31136921630 52297936330 62273843260 104595872660 133888763009 224881126219 267777526018 449762252438 535555052036 538668744199 669443815045 899524504876 1077337488398 1124405631095 1338887630090 2154674976796 2248811262190 2677775260180 2693343720995 4497622524380 5386687441990 10773374883980 23162756000557 46325512001114 92651024002228 115813780002785 231627560005570 463255120011140