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34410020141 = 727119750207
BaseRepresentation
bin100000000010111111…
…110011110100101101
310021211002112010201102
4200002333303310231
51030432431121031
623450250052445
72325466226300
oct400277636455
9107732463642
1034410020141
1113658617482
126803a1a125
133324c25b83
141946010b37
15d65d917cb
hex802ff3d2d

34410020141 has 24 divisors (see below), whose sum is σ = 40798619136. Its totient is φ = 28930705440.

The previous prime is 34410020123. The next prime is 34410020173. The reversal of 34410020141 is 14102001443.

It is not a de Polignac number, because 34410020141 - 222 = 34405825837 is a prime.

It is a super-2 number, since 2×344100201412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34410020101) 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 23 ways as a sum of consecutive naturals, for example, 660260 + ... + 710466.

It is an arithmetic number, because the mean of its divisors is an integer number (1699942464).

Almost surely, 234410020141 is an apocalyptic number.

It is an amenable number.

34410020141 is a deficient number, since it is larger than the sum of its proper divisors (6388598995).

34410020141 is a wasteful number, since it uses less digits than its factorization.

34410020141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50489 (or 50482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34410020141 its reverse (14102001443), we get a palindrome (48512021584).

The spelling of 34410020141 in words is "thirty-four billion, four hundred ten million, twenty thousand, one hundred forty-one".

Divisors: 1 7 49 71 197 497 1379 3479 9653 13987 50207 97909 351449 685363 2460143 3564697 9890779 24952879 69235453 174670153 484648171 702245309 4915717163 34410020141