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116145442013260 = 225112417971468739
BaseRepresentation
bin11010011010001000110111…
…110100000100000001001100
3120020020101200112220010112011
4122122020313310010001030
5110210411331123411020
61051004251321551004
733315142216661152
oct3232106764040114
9506211615803464
10116145442013260
113400a007124900
1211039921645464
134ca66117b341a
14209767dddd3d2
15d6632203535a
hex69a237d0404c

116145442013260 has 144 divisors (see below), whose sum is σ = 274978055046240. Its totient is φ = 41152863769600.

The previous prime is 116145442013207. The next prime is 116145442013353. The reversal of 116145442013260 is 62310244541611.

It is a super-2 number, since 2×1161454420132602 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 78343971 + ... + 79812709.

It is an arithmetic number, because the mean of its divisors is an integer number (1909569826710).

Almost surely, 2116145442013260 is an apocalyptic number.

116145442013260 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 116145442013260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137489027523120).

116145442013260 is an abundant number, since it is smaller than the sum of its proper divisors (158832613032980).

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

116145442013260 is a wasteful number, since it uses less digits than its factorization.

116145442013260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469608 (or 1469595 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

Adding to 116145442013260 its reverse (62310244541611), we get a palindrome (178455686554871).

The spelling of 116145442013260 in words is "one hundred sixteen trillion, one hundred forty-five billion, four hundred forty-two million, thirteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 797 820 902 1210 1594 1804 2255 2420 3188 3985 4510 4961 7970 8767 9020 9922 15940 17534 19844 24805 32677 35068 43835 49610 65354 87670 96437 99220 130708 163385 175340 192874 326770 359447 385748 482185 653540 718894 964370 1437788 1468739 1797235 1928740 2937478 3594470 3953917 5874956 7188940 7343695 7907834 14687390 15815668 16156129 19769585 29374780 32312258 39539170 60218299 64624516 79078340 80780645 120436598 161561290 177717419 240873196 301091495 323122580 355434838 602182990 662401289 710869676 888587095 1170584983 1204365980 1324802578 1777174190 2341169966 2649605156 3312006445 3554348380 4682339932 5852924915 6624012890 7286414179 11705849830 12876434813 13248025780 14572828358 23411699660 25752869626 29145656716 36432070895 47993984303 51505739252 64382174065 72864141790 95987968606 128764348130 141640782943 145728283580 191975937212 239969921515 257528696260 283281565886 479939843030 527933827333 566563131772 708203914715 959879686060 1055867654666 1416407829430 2111735309332 2639669136665 2832815658860 5279338273330 5807272100663 10558676546660 11614544201326 23229088402652 29036360503315 58072721006630 116145442013260