Search a number
-
+
110241441434020 = 22513619377418261
BaseRepresentation
bin11001000100001110010101…
…111101001100100110100100
3112110022222102121012102212011
4121010032111331030212210
5103422143433001342040
61030244115151404004
732135452455040111
oct3104162575144644
9473288377172764
10110241441434020
1132143150779116
1210445643823604
13496895319ab10
141d319ddc09908
15cb2975e9a3ea
hex644395f4c9a4

110241441434020 has 96 divisors (see below), whose sum is σ = 253672869584736. Its totient is φ = 39994510233600.

The previous prime is 110241441433931. The next prime is 110241441434021. The reversal of 110241441434020 is 20434144142011.

It can be written as a sum of positive squares in 16 ways, for example, as 77092473973824 + 33148967460196 = 8780232^2 + 5757514^2 .

It is not an unprimeable number, because it can be changed into a prime (110241441434021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11151690 + ... + 18569950.

It is an arithmetic number, because the mean of its divisors is an integer number (2642425724841).

Almost surely, 2110241441434020 is an apocalyptic number.

110241441434020 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 110241441434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126836434792368).

110241441434020 is an abundant number, since it is smaller than the sum of its proper divisors (143431428150716).

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

110241441434020 is a wasteful number, since it uses less digits than its factorization.

110241441434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419281 (or 7419279 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 110241441434020 its reverse (20434144142011), we get a palindrome (130675585576031).

The spelling of 110241441434020 in words is "one hundred ten trillion, two hundred forty-one billion, four hundred forty-one million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 937 1220 1586 1874 3172 3748 3965 4685 7930 9370 12181 15860 18740 24362 48724 57157 60905 114314 121810 228628 243620 285785 571570 743041 1143140 1486082 2972164 3715205 7418261 7430410 14836522 14860820 29673044 37091305 74182610 96437393 148365220 192874786 385749572 452513921 482186965 905027842 964373930 1810055684 1928747860 2262569605 4525139210 5882680973 6950910557 9050278420 11765361946 13901821114 23530723892 27803642228 29413404865 34754552785 58826809730 69509105570 90361837241 117653619460 139018211140 180723674482 361447348964 424005543977 451809186205 848011087954 903618372410 1696022175908 1807236744820 2120027719885 4240055439770 5512072071701 8480110879540 11024144143402 22048288286804 27560360358505 55120720717010 110241441434020