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42245047296 = 2103221412
BaseRepresentation
bin100111010110000000…
…000100010000000000
311001001010111202102100
4213112000010100000
51143004213003141
631223533550400
73023604656124
oct472600042000
9131033452370
1042245047296
1116a09256331
12822b945400
133ca3226c0a
14208a813584
151173b510b6
hex9d6004400

42245047296 has 99 divisors (see below), whose sum is σ = 122038658053. Its totient is φ = 14075105280.

The previous prime is 42245047283. The next prime is 42245047297. The reversal of 42245047296 is 69274054224.

The square root of 42245047296 is 205536.

It is a perfect power (a square), and thus also a powerful number.

42245047296 is a `hidden beast` number, since 42 + 2 + 4 + 50 + 472 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40294941696 + 1950105600 = 200736^2 + 44160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42245047297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19730386 + ... + 19732526.

Almost surely, 242245047296 is an apocalyptic number.

42245047296 is the 205536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42245047296

42245047296 is an abundant number, since it is smaller than the sum of its proper divisors (79793610757).

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

42245047296 is an frugal number, since it uses more digits than its factorization.

42245047296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42245047296 in words is "forty-two billion, two hundred forty-five million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2141 2304 3072 4282 4608 6423 8564 9216 12846 17128 19269 25692 34256 38538 51384 68512 77076 102768 137024 154152 205536 274048 308304 411072 548096 616608 822144 1096192 1233216 1644288 2192384 2466432 3288576 4583881 4932864 6577152 9167762 9865728 13751643 18335524 19731456 27503286 36671048 41254929 55006572 73342096 82509858 110013144 146684192 165019716 220026288 293368384 330039432 440052576 586736768 660078864 880105152 1173473536 1320157728 1760210304 2346947072 2640315456 3520420608 4693894144 5280630912 7040841216 10561261824 14081682432 21122523648 42245047296