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34531420242 = 23113141735639
BaseRepresentation
bin100000001010001110…
…111010100001010010
310022010112221220100110
4200022032322201102
51031210020421432
623510304102150
72331502141404
oct401216724122
9108115856313
1034531420242
11137100a5140
126838604956
133344120157
1419581b2b74
15d71871dcc
hex80a3ba852

34531420242 has 128 divisors (see below), whose sum is σ = 80774184960. Its totient is φ = 9742464000.

The previous prime is 34531420223. The next prime is 34531420247. The reversal of 34531420242 is 24202413543.

It is not an unprimeable number, because it can be changed into a prime (34531420247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6120859 + ... + 6126497.

It is an arithmetic number, because the mean of its divisors is an integer number (631048320).

Almost surely, 234531420242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531420242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40387092480).

34531420242 is an abundant number, since it is smaller than the sum of its proper divisors (46242764718).

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

34531420242 is a wasteful number, since it uses less digits than its factorization.

34531420242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34531420242 its reverse (24202413543), we get a palindrome (58733833785).

The spelling of 34531420242 in words is "thirty-four billion, five hundred thirty-one million, four hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 73 82 93 123 146 186 219 246 341 438 451 682 803 902 1023 1271 1353 1606 2046 2263 2409 2542 2706 2993 3813 4526 4818 5639 5986 6789 7626 8979 11278 13578 13981 16917 17958 24893 27962 32923 33834 41943 49786 62029 65846 74679 83886 92783 98769 124058 149358 174809 185566 186087 197538 231199 278349 349618 372174 411647 462398 524427 556698 693597 823294 1020613 1048854 1234941 1387194 1922899 2041226 2469882 2543189 3061839 3845798 4528117 5086378 5768697 6123678 7167169 7629567 9056234 11537394 12761057 13584351 14334338 15259134 16877527 21501507 25522114 27168702 33755054 38283171 43003014 50632581 76566342 78838859 101265162 140371627 157677718 185652797 236516577 280743254 371305594 421114881 473033154 523203337 556958391 842229762 1046406674 1113916782 1569610011 3139220022 5755236707 11510473414 17265710121 34531420242