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42404226246 = 2343112136961
BaseRepresentation
bin100111011111011111…
…010010010011000110
311001110020000212220000
4213133133102103012
51143320440214441
631251421422130
73030546655524
oct473737222306
9131406025800
1042404226246
1116a90097888
12827510a946
133cca1baa45
1420a3a0b314
151182ae52b6
hex9df7d24c6

42404226246 has 80 divisors (see below), whose sum is σ = 98176898688. Its totient is φ = 13665542400.

The previous prime is 42404226229. The next prime is 42404226259. The reversal of 42404226246 is 64262240424.

42404226246 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 22 + 624 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42404226246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6088206 + ... + 6095166.

Almost surely, 242404226246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404226246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088449344).

42404226246 is an abundant number, since it is smaller than the sum of its proper divisors (55772672442).

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

42404226246 is a wasteful number, since it uses less digits than its factorization.

42404226246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42404226246 in words is "forty-two billion, four hundred four million, two hundred twenty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1213 1674 2426 2511 3639 5022 6961 7278 10917 13922 20883 21834 32751 37603 41766 62649 65502 75206 98253 112809 125298 187947 196506 215791 225618 338427 375894 431582 563841 647373 676854 1015281 1127682 1294746 1942119 2030562 3045843 3884238 5826357 6091686 8443693 11652714 16887386 17479071 25331079 34958142 50662158 75993237 151986474 227979711 261754483 455959422 523508966 683939133 785263449 1367878266 1570526898 2355790347 4711580694 7067371041 14134742082 21202113123 42404226246