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424056230416 = 247213217892
BaseRepresentation
bin1100010101110111011…
…10001001001000010000
31111112120012121111022201
412022323232021020100
523421431343333131
6522450404412544
742431336325400
oct6127356111020
91445505544281
10424056230416
11153928761365
126a2276a7154
1330cb0494900
141674b078800
15b06d7e5761
hex62bbb89210

424056230416 has 135 divisors (see below), whose sum is σ = 1035502487271. Its totient is φ = 167664736512.

The previous prime is 424056230399. The next prime is 424056230447. The reversal of 424056230416 is 614032650424.

The square root of 424056230416 is 651196.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10473475600 + 413582754816 = 102340^2 + 643104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 237034450 + ... + 237036238.

Almost surely, 2424056230416 is an apocalyptic number.

424056230416 is the 651196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424056230416

424056230416 is an abundant number, since it is smaller than the sum of its proper divisors (611446256855).

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

424056230416 is an equidigital number, since it uses as much as digits as its factorization.

424056230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 424056230416 in words is "four hundred twenty-four billion, fifty-six million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 1789 2366 2548 2704 3578 4732 5096 7156 8281 9464 10192 12523 14312 16562 18928 23257 25046 28624 33124 46514 50092 66248 87661 93028 100184 132496 162799 175322 186056 200368 302341 325598 350644 372112 604682 651196 701288 1139593 1209364 1302392 1402576 2116387 2279186 2418728 2604784 3200521 4232774 4558372 4837456 6401042 8465548 9116744 12802084 14814709 16931096 18233488 22403647 25604168 29629418 33862192 41606773 44807294 51208336 59258836 83213546 89614588 118517672 156825529 166427092 179229176 237035344 291247411 313651058 332854184 358458352 540888049 582494822 627302116 665708368 1081776098 1164989644 1254604232 2038731877 2163552196 2329979288 2509208464 3786216343 4077463754 4327104392 4659958576 7572432686 8154927508 8654208784 15144865372 16309855016 26503514401 30289730744 32619710032 53007028802 60579461488 106014057604 212028115208 424056230416