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34311430431041 = 4726943160110477
BaseRepresentation
bin1111100110100110000001…
…00111110110000101000001
311111111010210120200112210012
413303103000213312011001
513444124302142243131
6200550241544114305
710140630142364561
oct763230047660501
9144433716615705
1034311430431041
11aa29439a87a45
123a21950765995
13161b7281c873a
14868979944da1
153e77bbba752b
hex1f34c09f6141

34311430431041 has 32 divisors (see below), whose sum is σ = 35315359672320. Its totient is φ = 33320217024000.

The previous prime is 34311430431017. The next prime is 34311430431049. The reversal of 34311430431041 is 14013403411343.

It is a cyclic number.

It is not a de Polignac number, because 34311430431041 - 238 = 34036552524097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34311430430989 and 34311430431007.

It is not an unprimeable number, because it can be changed into a prime (34311430431049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3274923695 + ... + 3274934171.

It is an arithmetic number, because the mean of its divisors is an integer number (1103604989760).

Almost surely, 234311430431041 is an apocalyptic number.

It is an amenable number.

34311430431041 is a deficient number, since it is larger than the sum of its proper divisors (1003929241279).

34311430431041 is a wasteful number, since it uses less digits than its factorization.

34311430431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 34311430431041 its reverse (14013403411343), we get a palindrome (48324833842384).

The spelling of 34311430431041 in words is "thirty-four trillion, three hundred eleven billion, four hundred thirty million, four hundred thirty-one thousand, forty-one".

Divisors: 1 47 269 431 601 10477 12643 20257 28247 115939 161669 259031 492419 2818313 4515587 5449133 6296677 7598443 12174457 69679339 132460711 212232589 295943819 1214692903 1693806113 2713867787 3274928933 57090566441 79608887311 127551785989 730030434703 34311430431041