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34043401153 = 177370139133
BaseRepresentation
bin11111101101001001…
…010001001111000001
310020212112122222000101
4133231021101033001
51024210102314103
623350032122401
72313425064256
oct375511211701
9106775588011
1034043401153
111348a681183
126721096401
133296ca1468
14190d45942d
15d43ac3a1d
hex7ed2513c1

34043401153 has 16 divisors (see below), whose sum is σ = 36592794576. Its totient is φ = 31556044800.

The previous prime is 34043401127. The next prime is 34043401159. The reversal of 34043401153 is 35110434043.

It can be written as a sum of positive squares in 8 ways, for example, as 13658129424 + 20385271729 = 116868^2 + 142777^2 .

It is a cyclic number.

It is not a de Polignac number, because 34043401153 - 225 = 34009846721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34043401159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850375 + ... + 889507.

It is an arithmetic number, because the mean of its divisors is an integer number (2287049661).

Almost surely, 234043401153 is an apocalyptic number.

It is an amenable number.

34043401153 is a deficient number, since it is larger than the sum of its proper divisors (2549393423).

34043401153 is a wasteful number, since it uses less digits than its factorization.

34043401153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 34043401153 its reverse (35110434043), we get a palindrome (69153835196).

The spelling of 34043401153 in words is "thirty-four billion, forty-three million, four hundred one thousand, one hundred fifty-three".

Divisors: 1 17 73 701 1241 11917 39133 51173 665261 869941 2856709 27432233 48564053 466347961 2002553009 34043401153