Search a number
-
+
42126266312 = 23132131237851
BaseRepresentation
bin100111001110111010…
…111100111111001000
311000201212000001112122
4213032322330333020
51142233311010222
631204052030412
73020633232644
oct471672747710
9130655001478
1042126266312
11169581a7429
1281b8002408
133c84738b00
142078b33c24
1511684dba42
hex9ceebcfc8

42126266312 has 48 divisors (see below), whose sum is σ = 86183293680. Its totient is φ = 19294392000.

The previous prime is 42126266297. The next prime is 42126266323. The reversal of 42126266312 is 21366262124.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58187 + ... + 296037.

It is an arithmetic number, because the mean of its divisors is an integer number (1795485285).

Almost surely, 242126266312 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 42126266312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43091646840).

42126266312 is an abundant number, since it is smaller than the sum of its proper divisors (44057027368).

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

42126266312 is a wasteful number, since it uses less digits than its factorization.

42126266312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238014 (or 237997 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The spelling of 42126266312 in words is "forty-two billion, one hundred twenty-six million, two hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 131 169 262 338 524 676 1048 1352 1703 3406 6812 13624 22139 44278 88556 177112 237851 475702 951404 1902808 3092063 6184126 12368252 24736504 31158481 40196819 62316962 80393638 124633924 160787276 249267848 321574552 405060253 810120506 1620241012 3240482024 5265783289 10531566578 21063133156 42126266312