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34201132441 = 717971937963
BaseRepresentation
bin11111110110100010…
…111101110110011001
310021021112110112122221
4133312202331312121
51030020442214231
623413424544041
72320351554250
oct376642756631
9107245415587
1034201132441
1113560714013
126765a82021
1332c0879398
141926397797
15d5287dd11
hex7f68bdd99

34201132441 has 16 divisors (see below), whose sum is σ = 39361075200. Its totient is φ = 29110172688.

The previous prime is 34201132429. The next prime is 34201132453. The reversal of 34201132441 is 14423110243.

It is an interprime number because it is at equal distance from previous prime (34201132429) and next prime (34201132453).

It is a cyclic number.

It is not a de Polignac number, because 34201132441 - 211 = 34201130393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34201132841) 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 15 ways as a sum of consecutive naturals, for example, 881926 + ... + 919888.

It is an arithmetic number, because the mean of its divisors is an integer number (2460067200).

Almost surely, 234201132441 is an apocalyptic number.

It is an amenable number.

34201132441 is a deficient number, since it is larger than the sum of its proper divisors (5159942759).

34201132441 is a wasteful number, since it uses less digits than its factorization.

34201132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38868.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34201132441 its reverse (14423110243), we get a palindrome (48624242684).

The spelling of 34201132441 in words is "thirty-four billion, two hundred one million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 7 179 719 1253 5033 37963 128701 265741 900907 6795377 27295397 47567639 191067779 4885876063 34201132441