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42313144222041 = 37111375113320761
BaseRepresentation
bin10011001111011110010111…
…11011100100000101011001
312112211002121202212112221020
421213233023323210011121
521021224304410101131
6225554220132433053
711625011105365260
oct1147571373440531
9175732552775836
1042313144222041
11125339a38a2780
1248b46a2478789
131a7c15cb873c4
14a63d77a595d7
154d59de2e7996
hex267bcbee4159

42313144222041 has 32 divisors (see below), whose sum is σ = 70343853705216. Its totient is φ = 21979254000000.

The previous prime is 42313144222007. The next prime is 42313144222043. The reversal of 42313144222041 is 14022244131324.

It is not a de Polignac number, because 42313144222041 - 26 = 42313144221977 is a prime.

It is a super-2 number, since 2×423131442220412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42313144221993 and 42313144222011.

It is not an unprimeable number, because it can be changed into a prime (42313144222043) 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, 3483900 + ... + 9836861.

It is an arithmetic number, because the mean of its divisors is an integer number (2198245428288).

Almost surely, 242313144222041 is an apocalyptic number.

It is an amenable number.

42313144222041 is a deficient number, since it is larger than the sum of its proper divisors (28030709483175).

42313144222041 is a wasteful number, since it uses less digits than its factorization.

42313144222041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334533.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42313144222041 its reverse (14022244131324), we get a palindrome (56335388353365).

The spelling of 42313144222041 in words is "forty-two trillion, three hundred thirteen billion, one hundred forty-four million, two hundred twenty-two thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 231 13751 41253 96257 151261 288771 453783 1058827 3176481 13320761 39962283 93245327 146528371 279735981 439585113 1025698597 3077095791 183173784511 549521353533 1282216491577 2014911629621 3846649474731 6044734888863 14104381407347 42313144222041