Search a number
-
+
34121214996 = 223114110361211
BaseRepresentation
bin11111110001110010…
…000110110000010100
310021001222002022112120
4133301302012300110
51024340012334441
623401452015540
72315361353631
oct376162066024
9107058068476
1034121214996
111351a599940
1267431615b0
1332aa14775b
141919913188
15d4a844966
hex7f1c86c14

34121214996 has 96 divisors (see below), whose sum is σ = 89837669376. Its totient is φ = 9989472000.

The previous prime is 34121214983. The next prime is 34121214997. The reversal of 34121214996 is 69941212143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121214997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526831 + ... + 588041.

It is an arithmetic number, because the mean of its divisors is an integer number (935809056).

Almost surely, 234121214996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121214996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44918834688).

34121214996 is an abundant number, since it is smaller than the sum of its proper divisors (55716454380).

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

34121214996 is a wasteful number, since it uses less digits than its factorization.

34121214996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61373 (or 61371 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 34121214996 in words is "thirty-four billion, one hundred twenty-one million, two hundred fourteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 103 123 132 164 206 246 309 412 451 492 618 902 1133 1236 1353 1804 2266 2706 3399 4223 4532 5412 6798 8446 12669 13596 16892 25338 46453 50676 61211 92906 122422 139359 183633 185812 244844 278718 367266 557436 673321 734532 1346642 2019963 2509651 2693284 4039926 5019302 6304733 7528953 8079852 10038604 12609466 15057906 18914199 25218932 27606161 30115812 37828398 55212322 69352063 75656796 82818483 110424644 138704126 165636966 208056189 258494053 277408252 331273932 416112378 516988106 775482159 832224756 1033976212 1550964318 2843434583 3101928636 5686869166 8530303749 11373738332 17060607498 34121214996