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34020430004331 = 329715539970271
BaseRepresentation
bin1111011110000111111111…
…01001010100000001101011
311110110022200021001012201100
413233003333221110001223
513424342320040114311
6200204434135052443
710110615653515221
oct757037751240153
9143408607035640
1034020430004331
11a926a8a910321
123995479211123
1315ca160a2ab34
14858851b46b11
153dee3963da56
hex1ef0ffa5406b

34020430004331 has 24 divisors (see below), whose sum is σ = 49192817356800. Its totient is φ = 22656197617200.

The previous prime is 34020430004257. The next prime is 34020430004411. The reversal of 34020430004331 is 13340003402043.

34020430004331 is a `hidden beast` number, since 3 + 4 + 0 + 20 + 4 + 300 + 0 + 4 + 331 = 666.

It is not a de Polignac number, because 34020430004331 - 213 = 34020429996139 is a prime.

It is a super-2 number, since 2×340204300043312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34020430004295 and 34020430004304.

It is not an unprimeable number, because it can be changed into a prime (34020430004131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484096726 + ... + 484166996.

It is an arithmetic number, because the mean of its divisors is an integer number (2049700723200).

Almost surely, 234020430004331 is an apocalyptic number.

34020430004331 is a deficient number, since it is larger than the sum of its proper divisors (15172387352469).

34020430004331 is a wasteful number, since it uses less digits than its factorization.

34020430004331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126647 (or 126644 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34020430004331 its reverse (13340003402043), we get a palindrome (47360433406374).

The spelling of 34020430004331 in words is "thirty-four trillion, twenty billion, four hundred thirty million, four thousand, three hundred thirty-one".

Divisors: 1 3 9 971 2913 8739 55399 70271 166197 210813 498591 632439 53792429 68233141 161377287 204699423 484131861 614098269 3892943129 11678829387 35036488161 3780047778259 11340143334777 34020430004331