Search a number
-
+
12401601433320 = 2335119395152601
BaseRepresentation
bin1011010001110111100100…
…0011000100111011101000
31121220120200221000201022110
42310131321003010323220
53111141434431331240
642213114514322320
72416662146613231
oct264357103047350
947816627021273
1012401601433320
113a51542777810
12148361b2893a0
136bc609a461b8
1430c35272a088
151678da1ecc80
hexb47790c4ee8

12401601433320 has 64 divisors (see below), whose sum is σ = 40587059240640. Its totient is φ = 3006448832000.

The previous prime is 12401601433297. The next prime is 12401601433357. The reversal of 12401601433320 is 2333410610421.

12401601433320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124016014333202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4697574981 + ... + 4697577620.

It is an arithmetic number, because the mean of its divisors is an integer number (634172800635).

Almost surely, 212401601433320 is an apocalyptic number.

12401601433320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12401601433320 is an abundant number, since it is smaller than the sum of its proper divisors (28185457807320).

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

12401601433320 is a wasteful number, since it uses less digits than its factorization.

12401601433320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395152626 (or 9395152622 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 12401601433320 in words is "twelve trillion, four hundred one billion, six hundred one million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9395152601 18790305202 28185457803 37580610404 46975763005 56370915606 75161220808 93951526010 103346678611 112741831212 140927289015 187903052020 206693357222 225483662424 281854578030 310040035833 375806104040 413386714444 516733393055 563709156060 620080071666 826773428888 1033466786110 1127418312120 1240160143332 1550200179165 2066933572220 2480320286664 3100400358330 4133867144440 6200800716660 12401601433320