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423024242304 = 27313723334511
BaseRepresentation
bin1100010011111100011…
…01011010111010000000
31111102220021202001202210
412021332031122322000
523412323201223204
6522200141342120
742363635505606
oct6117615327200
91442807661683
10423024242304
1115344917a424
1269b99b67940
1330b77737861
141668dda1876
15b00cde6389
hex627e35ae80

423024242304 has 128 divisors (see below), whose sum is σ = 1136750734080. Its totient is φ = 139374018560.

The previous prime is 423024242261. The next prime is 423024242353. The reversal of 423024242304 is 403242420324.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12240409 + ... + 12274919.

It is an arithmetic number, because the mean of its divisors is an integer number (8880865110).

Almost surely, 2423024242304 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 423024242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568375367040).

423024242304 is an abundant number, since it is smaller than the sum of its proper divisors (713726491776).

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

423024242304 is a wasteful number, since it uses less digits than its factorization.

423024242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34898 (or 34886 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 423024242304 its reverse (403242420324), we get a palindrome (826266662628).

The spelling of 423024242304 in words is "four hundred twenty-three billion, twenty-four million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 233 274 384 411 466 548 699 822 932 1096 1398 1644 1864 2192 2796 3288 3728 4384 5592 6576 7456 8768 11184 13152 14912 17536 22368 26304 29824 31921 34511 44736 52608 63842 69022 89472 95763 103533 127684 138044 191526 207066 255368 276088 383052 414132 510736 552176 766104 828264 1021472 1104352 1532208 1656528 2042944 2208704 3064416 3313056 4085888 4417408 4728007 6128832 6626112 8041063 9456014 12257664 13252224 14184021 16082126 18912028 24123189 28368042 32164252 37824056 48246378 56736084 64328504 75648112 96492756 113472168 128657008 151296224 192985512 226944336 257314016 302592448 385971024 453888672 514628032 605184896 771942048 907777344 1029256064 1101625631 1543884096 1815554688 2203251262 3087768192 3304876893 4406502524 6609753786 8813005048 13219507572 17626010096 26439015144 35252020192 52878030288 70504040384 105756060576 141008080768 211512121152 423024242304