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110114131030040 = 2356614463933157
BaseRepresentation
bin11001000010010111110001…
…101010100011000000011000
3112102212210211010012211100202
4121002113301222203000120
5103413102220020430130
61030105422231521332
732123324550334424
oct3102276152430030
9472783733184322
10110114131030040
11320a416032a315
1210424a33829248
1349599445a9327
141d297a3a25b84
15cae4c4314145
hex6425f1aa3018

110114131030040 has 64 divisors (see below), whose sum is σ = 248187479448960. Its totient is φ = 43969116280320.

The previous prime is 110114131029977. The next prime is 110114131030081. The reversal of 110114131030040 is 40030131411011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110114131029994 and 110114131030021.

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, 117535142 + ... + 118468298.

It is an arithmetic number, because the mean of its divisors is an integer number (3877929366390).

Almost surely, 2110114131030040 is an apocalyptic number.

110114131030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110114131030040 is an abundant number, since it is smaller than the sum of its proper divisors (138073348418920).

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

110114131030040 is a wasteful number, since it uses less digits than its factorization.

110114131030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938292 (or 938288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 110114131030040 its reverse (40030131411011), we get a palindrome (150144262441051).

The spelling of 110114131030040 in words is "one hundred ten trillion, one hundred fourteen billion, one hundred thirty-one million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 661 1322 2644 3305 4463 5288 6610 8926 13220 17852 22315 26440 35704 44630 89260 178520 933157 1866314 2950043 3732628 4665785 5900086 7465256 9331570 11800172 14750215 18663140 23600344 29500430 37326280 59000860 118001720 616816777 1233633554 2467267108 3084083885 4164679691 4934534216 6168167770 8329359382 12336335540 16658718764 20823398455 24672671080 33317437528 41646796910 83293593820 166587187640 2752853275751 5505706551502 11011413103004 13764266378755 22022826206008 27528532757510 55057065515020 110114131030040