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34041212305 = 537184006553
BaseRepresentation
bin11111101101000000…
…111010110110010001
310020212101112202110221
4133231000322312101
51024204022243210
623345513153041
72313400346632
oct375500726621
9106771482427
1034041212305
1113489416711
1267203bb781
1332966b6099
14190d049889
15d437e01da
hex7ed03ad91

34041212305 has 8 divisors (see below), whose sum is σ = 41953494312. Its totient is φ = 26496943488.

The previous prime is 34041212287. The next prime is 34041212323. The reversal of 34041212305 is 50321214043.

It is an interprime number because it is at equal distance from previous prime (34041212287) and next prime (34041212323).

It can be written as a sum of positive squares in 4 ways, for example, as 19199150721 + 14842061584 = 138561^2 + 121828^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34041212305 - 221 = 34039115153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34041212305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 92003092 + ... + 92003461.

It is an arithmetic number, because the mean of its divisors is an integer number (5244186789).

Almost surely, 234041212305 is an apocalyptic number.

It is an amenable number.

34041212305 is a deficient number, since it is larger than the sum of its proper divisors (7912282007).

34041212305 is a wasteful number, since it uses less digits than its factorization.

34041212305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184006595.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34041212305 its reverse (50321214043), we get a palindrome (84362426348).

The spelling of 34041212305 in words is "thirty-four billion, forty-one million, two hundred twelve thousand, three hundred five".

Divisors: 1 5 37 185 184006553 920032765 6808242461 34041212305