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115013143412040 = 23359371795756963
BaseRepresentation
bin11010001001101010010101…
…100011101011110101001000
3120002020011000201022102022210
4122021222111203223311020
5110033333404203141130
61044340150401145120
733140265624450366
oct3211522543536510
9502204021272283
10115013143412040
1133712889084755
1210a9639902b1a0
134c2390136a7c3
142058947104636
15d46b50c635b0
hex689a958ebd48

115013143412040 has 128 divisors (see below), whose sum is σ = 345432968012160. Its totient is φ = 30635195295744.

The previous prime is 115013143411993. The next prime is 115013143412093. The reversal of 115013143412040 is 40214341310511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 115013143411989 and 115013143412007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019056599 + ... + 2019113561.

It is an arithmetic number, because the mean of its divisors is an integer number (2698695062595).

Almost surely, 2115013143412040 is an apocalyptic number.

115013143412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115013143412040 is an abundant number, since it is smaller than the sum of its proper divisors (230419824600120).

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

115013143412040 is a wasteful number, since it uses less digits than its factorization.

115013143412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75871 (or 75867 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 115013143412040 its reverse (40214341310511), we get a palindrome (155227484722551).

The spelling of 115013143412040 in words is "one hundred fifteen trillion, thirteen billion, one hundred forty-three million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 937 1874 2811 3748 4685 5622 7496 9370 11244 14055 17957 18740 22488 28110 35914 37480 53871 56220 56963 71828 89785 107742 112440 113926 143656 170889 179570 215484 227852 269355 284815 341778 359140 430968 455704 538710 569630 683556 718280 854445 1077420 1139260 1367112 1708890 2154840 2278520 3417780 6835560 16825709 33651418 50477127 53374331 67302836 84128545 100954254 106748662 134605672 160122993 168257090 201908508 213497324 252385635 266871655 320245986 336514180 403817016 426994648 504771270 533743310 640491972 673028360 800614965 1009542540 1022884591 1067486620 1280983944 1601229930 2019085080 2045769182 2134973240 3068653773 3202459860 4091538364 5114422955 6137307546 6404919720 8183076728 10228845910 12274615092 15343268865 20457691820 24549230184 30686537730 40915383640 61373075460 122746150920 958442861767 1916885723534 2875328585301 3833771447068 4792214308835 5750657170602 7667542894136 9584428617670 11501314341204 14376642926505 19168857235340 23002628682408 28753285853010 38337714470680 57506571706020 115013143412040