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34142022405 = 3257123345863
BaseRepresentation
bin11111110011000001…
…011110101100000101
310021010102020102221100
4133303001132230011
51024410324204110
623403514010313
72316033254631
oct376301365405
9107112212840
1034142022405
1113530310847
12674a116999
1332b155152a
14191c5abdc1
15d4c5a4bc0
hex7f305eb05

34142022405 has 48 divisors (see below), whose sum is σ = 60271900416. Its totient is φ = 17875173120.

The previous prime is 34142022377. The next prime is 34142022407. The reversal of 34142022405 is 50422024143.

34142022405 is a `hidden beast` number, since 3 + 414 + 2 + 0 + 2 + 240 + 5 = 666.

It is not a de Polignac number, because 34142022405 - 216 = 34141956869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142022407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721504 + ... + 767366.

It is an arithmetic number, because the mean of its divisors is an integer number (1255664592).

Almost surely, 234142022405 is an apocalyptic number.

It is an amenable number.

34142022405 is a deficient number, since it is larger than the sum of its proper divisors (26129878011).

34142022405 is a wasteful number, since it uses less digits than its factorization.

34142022405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46178 (or 46175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34142022405 its reverse (50422024143), we get a palindrome (84564046548).

The spelling of 34142022405 in words is "thirty-four billion, one hundred forty-two million, twenty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 71 213 233 355 639 699 1065 1165 2097 3195 3495 10485 16543 45863 49629 82715 137589 148887 229315 248145 412767 687945 744435 2063835 3256273 9768819 10686079 16281365 29306457 32058237 48844095 53430395 96174711 146532285 160291185 480873555 758711609 2276134827 3793558045 6828404481 11380674135 34142022405