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134023303320431 = 72131104999198851
BaseRepresentation
bin11110011110010010111011…
…011000101101001101101111
3122120112111120110000022200212
4132132102323120231031233
5120031314211122223211
61153013242223013035
740141602252523400
oct3636227330551557
9576474513008625
10134023303320431
1139781a668203a8
121304674513a17b
1359a2460231005
142514a963c59a7
1510763c12cb38b
hex79e4bb62d36f

134023303320431 has 24 divisors (see below), whose sum is σ = 157097057040000. Its totient is φ = 113998533558000.

The previous prime is 134023303320409. The next prime is 134023303320541.

134023303320431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134023303320431 - 222 = 134023299126127 is a prime.

It is a super-2 number, since 2×1340233033204312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134023303320931) 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 23 ways as a sum of consecutive naturals, for example, 673889156 + ... + 674088006.

It is an arithmetic number, because the mean of its divisors is an integer number (6545710710000).

Almost surely, 2134023303320431 is an apocalyptic number.

134023303320431 is a deficient number, since it is larger than the sum of its proper divisors (23073753719569).

134023303320431 is a wasteful number, since it uses less digits than its factorization.

134023303320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303995 (or 303988 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 13402330 and 3320431, that added together give a palindrome (16722761).

The spelling of 134023303320431 in words is "one hundred thirty-four trillion, twenty-three billion, three hundred three million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 49 131 917 6419 104999 198851 734993 1391957 5144951 9743699 13754869 26049481 96284083 182346367 673988581 1276424569 20879156149 146154093043 1023078651301 2735169455519 19146186188633 134023303320431