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133444310344031 = 19237611866121503
BaseRepresentation
bin11110010101110111101100…
…101101110010000101011111
3122111111011002102120122010202
4132111313230231302011133
5114442322421422002111
61151451245254054115
740052014260445211
oct3625675455620537
9574434072518122
10133444310344031
1139579461337635
1212b7249964a33b
13595c98a7a74ab
1424d4a4c0825b1
1510662d57e6b3b
hex795decb7215f

133444310344031 has 32 divisors (see below), whose sum is σ = 146782285332480. Its totient is φ = 120753374227200.

The previous prime is 133444310343959. The next prime is 133444310344057. The reversal of 133444310344031 is 130443013444331.

It is not a de Polignac number, because 133444310344031 - 210 = 133444310343007 is a prime.

It is a super-2 number, since 2×1334443103440312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133444310344531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6205835426 + ... + 6205856928.

It is an arithmetic number, because the mean of its divisors is an integer number (4586946416640).

Almost surely, 2133444310344031 is an apocalyptic number.

133444310344031 is a deficient number, since it is larger than the sum of its proper divisors (13337974988449).

133444310344031 is a wasteful number, since it uses less digits than its factorization.

133444310344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40967.

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 133444310344031 its reverse (130443013444331), we get a palindrome (263887323788362).

The spelling of 133444310344031 in words is "one hundred thirty-three trillion, four hundred forty-four billion, three hundred ten million, three hundred forty-four thousand, thirty-one".

Divisors: 1 19 23 437 761 14459 17503 18661 21503 332557 354559 408557 429203 494569 8154857 9396811 14201021 16363783 269819399 310911877 326623483 376367009 401267483 6205846177 7150973171 7624082177 9229152109 175353890071 305364554563 5801926536697 7023384754949 133444310344031