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34144240203 = 331264601489
BaseRepresentation
bin11111110011001001…
…111100001001001011
310021010120102010012000
4133303021330021023
51024411411141303
623404033322043
72316061152543
oct376311741113
9107116363160
1034144240203
1113531596037
12674aa06323
1332b1b49b38
14191c9c8323
15d4c891da3
hex7f327c24b

34144240203 has 8 divisors (see below), whose sum is σ = 50584059600. Its totient is φ = 22762826784.

The previous prime is 34144240157. The next prime is 34144240241. The reversal of 34144240203 is 30204244143.

It is a happy number.

34144240203 is a `hidden beast` number, since 3 + 414 + 4 + 2 + 40 + 203 = 666.

It is not a de Polignac number, because 34144240203 - 212 = 34144236107 is a prime.

It is a super-2 number, since 2×341442402032 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1264601489 = 34144240203 / (3 + 4 + 1 + 4 + 4 + 2 + 4 + 0 + 2 + 0 + 3).

It is not an unprimeable number, because it can be changed into a prime (34144244203) 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, 632300718 + ... + 632300771.

It is an arithmetic number, because the mean of its divisors is an integer number (6323007450).

Almost surely, 234144240203 is an apocalyptic number.

34144240203 is a deficient number, since it is larger than the sum of its proper divisors (16439819397).

34144240203 is a wasteful number, since it uses less digits than its factorization.

34144240203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264601498 (or 1264601492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34144240203 its reverse (30204244143), we get a palindrome (64348484346).

The spelling of 34144240203 in words is "thirty-four billion, one hundred forty-four million, two hundred forty thousand, two hundred three".

Divisors: 1 3 9 27 1264601489 3793804467 11381413401 34144240203