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34014033302431 = 7133710102177993
BaseRepresentation
bin1111011101111100000100…
…10111110101001110011111
311110102201011110112002100011
413232332002113311032133
513424241220011134211
6200201455311344051
710110301311452440
oct756760227651637
9143381143462304
1034014033302431
11a9242a8067526
123994192b22027
1315c9681706a20
148584063912c7
153debb2c94921
hex1eef825f539f

34014033302431 has 16 divisors (see below), whose sum is σ = 42994869542464. Its totient is φ = 26184845355264.

The previous prime is 34014033302429. The next prime is 34014033302461. The reversal of 34014033302431 is 13420333041043.

It is a cyclic number.

It is not a de Polignac number, because 34014033302431 - 21 = 34014033302429 is a prime.

It is a super-2 number, since 2×340140333024312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34014033302393 and 34014033302402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014033302401) 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 15 ways as a sum of consecutive naturals, for example, 5051085630 + ... + 5051092363.

It is an arithmetic number, because the mean of its divisors is an integer number (2687179346404).

Almost surely, 234014033302431 is an apocalyptic number.

34014033302431 is a deficient number, since it is larger than the sum of its proper divisors (8980836240033).

34014033302431 is a wasteful number, since it uses less digits than its factorization.

34014033302431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102178050.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 34014033302431 its reverse (13420333041043), we get a palindrome (47434366343474).

The spelling of 34014033302431 in words is "thirty-four trillion, fourteen billion, thirty-three million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 7 13 37 91 259 481 3367 10102177993 70715245951 131328313909 373780585741 919298197363 2616464100187 4859147614633 34014033302431