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42042211308 = 22324114921283
BaseRepresentation
bin100111001001111010…
…010011101111101100
311000111222211121202100
4213021322103233230
51142100301230213
631151450255100
73015562620426
oct471172235754
9130458747670
1042042211308
1116914806689
128193a27490
133c701b8b16
14206b8d3816
151160e36773
hex9c9e93bec

42042211308 has 108 divisors (see below), whose sum is σ = 109686370248. Its totient is φ = 13569918720.

The previous prime is 42042211307. The next prime is 42042211339. The reversal of 42042211308 is 80311224024.

42042211308 is a `hidden beast` number, since 420 + 4 + 221 + 13 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42042211307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32768035 + ... + 32769317.

Almost surely, 242042211308 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 42042211308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54843185124).

42042211308 is an abundant number, since it is smaller than the sum of its proper divisors (67644158940).

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

42042211308 is a wasteful number, since it uses less digits than its factorization.

42042211308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 42042211308 in words is "forty-two billion, forty-two million, two hundred eleven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 149 164 246 298 369 447 492 596 738 894 1283 1341 1476 1788 2566 2682 3849 5132 5364 6109 7698 11547 12218 15396 18327 22201 23094 24436 36654 44402 46188 52603 54981 66603 73308 88804 105206 109962 133206 157809 191167 199809 210412 219924 266412 315618 382334 399618 473427 573501 631236 764668 799236 910241 946854 1147002 1720503 1820482 1893708 2294004 2730723 3441006 3640964 5461446 6882012 7837847 8192169 10922892 15675694 16384338 23513541 28483883 31351388 32768676 47027082 56967766 70540623 85451649 94054164 113935532 141081246 170903298 256354947 282162492 341806596 512709894 1025419788 1167839203 2335678406 3503517609 4671356812 7007035218 10510552827 14014070436 21021105654 42042211308