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34154707120749 = 3219491947135689
BaseRepresentation
bin1111100010000010000110…
…01011110111001001101101
311110221011021021010111001100
413301001003023313021231
513434042320010330444
6200350242243433313
710123411324256565
oct761010313671155
9143834237114040
1034154707120749
11a978a25838306
1239b74b2385839
131609a0ca6c087
1486114d29dda5
153e3697c15e69
hex1f10432f726d

34154707120749 has 12 divisors (see below), whose sum is σ = 49359889741500. Its totient is φ = 22758121921344.

The previous prime is 34154707120679. The next prime is 34154707120811. The reversal of 34154707120749 is 94702170745143.

34154707120749 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 470 + 7 + 120 + 7 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13256844590025 + 20897862530724 = 3640995^2 + 4571418^2 .

It is not a de Polignac number, because 34154707120749 - 224 = 34154690343533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34154707120695 and 34154707120704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34154707130749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973550304 + ... + 973585385.

It is an arithmetic number, because the mean of its divisors is an integer number (4113324145125).

Almost surely, 234154707120749 is an apocalyptic number.

It is an amenable number.

34154707120749 is a deficient number, since it is larger than the sum of its proper divisors (15205182620751).

34154707120749 is a wasteful number, since it uses less digits than its factorization.

34154707120749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947137644 (or 1947137641 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 34154707120749 in words is "thirty-four trillion, one hundred fifty-four billion, seven hundred seven million, one hundred twenty thousand, seven hundred forty-nine".

Divisors: 1 3 9 1949 5847 17541 1947135689 5841407067 17524221201 3794967457861 11384902373583 34154707120749