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34001011010043 = 32711172886088703
BaseRepresentation
bin1111011101100011110100…
…01011101110100111111011
311110101110112220210002110200
413232301322023232213323
513424033032304310133
6200151503202413243
710106330515010430
oct756617213564773
9143343486702420
1034001011010043
11a919825346510
123991759961223
1315c838782b37c
1485792caa1b87
153de69e8dc913
hex1eec7a2ee9fb

34001011010043 has 48 divisors (see below), whose sum is σ = 64833096646656. Its totient is φ = 16623870923520.

The previous prime is 34001011010033. The next prime is 34001011010047.

34001011010043 is a `hidden beast` number, since 3 + 400 + 10 + 110 + 100 + 43 = 666.

34001011010043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34001011010043 - 213 = 34001011001851 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34001011009998 and 34001011010025.

It is not an unprimeable number, because it can be changed into a prime (34001011010047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443032571 + ... + 1443056132.

It is an arithmetic number, because the mean of its divisors is an integer number (1350689513472).

Almost surely, 234001011010043 is an apocalyptic number.

34001011010043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34001011010043 is a deficient number, since it is larger than the sum of its proper divisors (30832085636613).

34001011010043 is a wasteful number, since it uses less digits than its factorization.

34001011010043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886088744 (or 2886088741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 3400101 and 1010043, that added together give a palindrome (4410144).

The spelling of 34001011010043 in words is "thirty-four trillion, one billion, eleven million, ten thousand, forty-three".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 2886088703 8658266109 20202620921 25974798327 31746975733 49063507951 60607862763 95240927199 147190523853 181823588289 222228830131 285722781597 343444555657 441571571559 539698587461 666686490393 1030333666971 1619095762383 2000059471179 3091001000913 3777890112227 4857287287149 11333670336681 34001011010043