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34120451041 = 311163946397
BaseRepresentation
bin11111110001101111…
…001100001111100001
310021001220122111120221
4133301233030033201
51024334313413131
623401423403041
72315352022435
oct376157141741
9107056574527
1034120451041
111351a117976
126742a53481
1332a9c3ab01
1419197949c5
15d4a743411
hex7f1bcc3e1

34120451041 has 8 divisors (see below), whose sum is σ = 35251432704. Its totient is φ = 32991364560.

The previous prime is 34120451017. The next prime is 34120451083. The reversal of 34120451041 is 14015402143.

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 34120451041 - 213 = 34120442849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34120450997 and 34120451015.

It is not an unprimeable number, because it can be changed into a prime (34120451441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437146 + ... + 509251.

It is an arithmetic number, because the mean of its divisors is an integer number (4406429088).

Almost surely, 234120451041 is an apocalyptic number.

34120451041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34120451041 is a deficient number, since it is larger than the sum of its proper divisors (1130981663).

34120451041 is a wasteful number, since it uses less digits than its factorization.

34120451041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947591.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 34120451041 its reverse (14015402143), we get a palindrome (48135853184).

The spelling of 34120451041 in words is "thirty-four billion, one hundred twenty million, four hundred fifty-one thousand, forty-one".

Divisors: 1 31 1163 36053 946397 29338307 1100659711 34120451041