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114035021243040 = 2535392360559001
BaseRepresentation
bin11001111011011011011000…
…111011101110001010100000
3112221202122022200212221221210
4121323123120323232022200
5104421322210414234130
61042310544320350120
733006521063263242
oct3173333073561240
9487678280787853
10114035021243040
1133375a87672027
1210958901a75340
134b825c181a9c1
14202347851a092
15d2b4a50475b0
hex67b6d8eee2a0

114035021243040 has 96 divisors (see below), whose sum is σ = 359301888058176. Its totient is φ = 30401586944000.

The previous prime is 114035021243021. The next prime is 114035021243063. The reversal of 114035021243040 is 40342120530411.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 114035021242989 and 114035021243007.

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, 28396461 + ... + 32162540.

It is an arithmetic number, because the mean of its divisors is an integer number (3742728000606).

Almost surely, 2114035021243040 is an apocalyptic number.

114035021243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114035021243040 is an abundant number, since it is smaller than the sum of its proper divisors (245266866815136).

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

114035021243040 is a wasteful number, since it uses less digits than its factorization.

114035021243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60562942 (or 60562934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114035021243040 its reverse (40342120530411), we get a palindrome (154377141773451).

The spelling of 114035021243040 in words is "one hundred fourteen trillion, thirty-five billion, twenty-one million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3923 7846 11769 15692 19615 23538 31384 39230 47076 58845 62768 78460 94152 117690 125536 156920 188304 235380 313840 376608 470760 627680 941520 1883040 60559001 121118002 181677003 242236004 302795005 363354006 484472008 605590010 726708012 908385015 968944016 1211180020 1453416024 1816770030 1937888032 2422360040 2906832048 3633540060 4844720080 5813664096 7267080120 9689440160 14534160240 29068320480 237572960923 475145921846 712718882769 950291843692 1187864804615 1425437765538 1900583687384 2375729609230 2850875531076 3563594413845 3801167374768 4751459218460 5701751062152 7127188827690 7602334749536 9502918436920 11403502124304 14254377655380 19005836873840 22807004248608 28508755310760 38011673747680 57017510621520 114035021243040