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34014440141 = 1129373179091
BaseRepresentation
bin11111101011011010…
…110010101011001101
310020210112011120222022
4133223122302223031
51024130144041031
623343115255525
72312623653653
oct375332625315
9106715146868
1034014440141
11134752a0360
12671344a5a5
133290ca1376
14190967add3
15d412a297b
hex7eb6b2acd

34014440141 has 32 divisors (see below), whose sum is σ = 39552382080. Its totient is φ = 28954195200.

The previous prime is 34014440111. The next prime is 34014440189. The reversal of 34014440141 is 14104441043.

It is a cyclic number.

It is not a de Polignac number, because 34014440141 - 230 = 32940698317 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 34014440141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014440111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3737006 + ... + 3746096.

It is an arithmetic number, because the mean of its divisors is an integer number (1236011940).

Almost surely, 234014440141 is an apocalyptic number.

It is an amenable number.

34014440141 is a deficient number, since it is larger than the sum of its proper divisors (5537941939).

34014440141 is a wasteful number, since it uses less digits than its factorization.

34014440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9485.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34014440141 its reverse (14104441043), we get a palindrome (48118881184).

The spelling of 34014440141 in words is "thirty-four billion, fourteen million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 11 29 37 317 319 407 1073 3487 9091 9193 11729 11803 100001 101123 129019 263639 336367 340141 2881847 2900029 3700037 3741551 9754643 31700317 83573563 106628339 107301073 919309193 1172911729 3092221831 34014440141