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34121424012 = 22313297542313
BaseRepresentation
bin11111110001110010…
…111001110010001100
310021001222110221020220
4133301302321302030
51024340041032022
623401500311340
72315363214204
oct376162716214
9107058427226
1034121424012
111351a721985
126743242550
1332aa1bb930
141919969404
15d4a88685c
hex7f1cb9c8c

34121424012 has 48 divisors (see below), whose sum is σ = 88697612640. Its totient is φ = 10136867328.

The previous prime is 34121423989. The next prime is 34121424019. The reversal of 34121424012 is 21042412143.

It is a super-2 number, since 2×341214240122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34121424019) 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, 3766633 + ... + 3775680.

It is an arithmetic number, because the mean of its divisors is an integer number (1847866930).

Almost surely, 234121424012 is an apocalyptic number.

It is an amenable number.

34121424012 is an abundant number, since it is smaller than the sum of its proper divisors (54576188628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34121424012 is a wasteful number, since it uses less digits than its factorization.

34121424012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542362 (or 7542360 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34121424012 its reverse (21042412143), we get a palindrome (55163836155).

The spelling of 34121424012 in words is "thirty-four billion, one hundred twenty-one million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 7542313 15084626 22626939 30169252 45253878 90507756 98050069 196100138 218727077 294150207 392200276 437454154 588300414 656181231 874908308 1176600828 1312362462 2624724924 2843452001 5686904002 8530356003 11373808004 17060712006 34121424012