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430602130223056 = 241171319110798871
BaseRepresentation
bin110000111101000010101111…
…1000000101110111111010000
32002110122011100211012110210101
41201322011133000232333100
5422414441130314114211
64123451515430342144
7156461656126641451
oct14172053700567720
92073564324173711
10430602130223056
11115226379811370
12403656b21ba954
13156367b6a579cc
14784937bb51128
1534bae39cac5c1
hex187a15f02efd0

430602130223056 has 80 divisors (see below), whose sum is σ = 923244464572416. Its totient is φ = 192911013680000.

The previous prime is 430602130223053. The next prime is 430602130223081. The reversal of 430602130223056 is 650322031206034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430602130223053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34475301 + ... + 45274171.

Almost surely, 2430602130223056 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 430602130223056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461622232286208).

430602130223056 is an abundant number, since it is smaller than the sum of its proper divisors (492642334349360).

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

430602130223056 is a wasteful number, since it uses less digits than its factorization.

430602130223056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802152 (or 10802146 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 430602130223056 in words is "four hundred thirty trillion, six hundred two billion, one hundred thirty million, two hundred twenty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 3191 6248 6382 12496 12764 25528 35101 51056 70202 140404 226561 280808 453122 561616 906244 1812488 2492171 3624976 4984342 9968684 10798871 19937368 21597742 39874736 43195484 86390968 118787581 172781936 237575162 475150324 766719841 950300648 1533439682 1900601296 3066879364 6133758728 8433918251 12267517456 16867836502 33735673004 34459197361 67471346008 68918394722 134942692016 137836789444 275673578888 379051170971 551347157776 758102341942 1516204683884 2446603012631 3032409367768 4893206025262 6064818735536 9786412050524 19572824101048 26912633138941 39145648202096 53825266277882 107650532555764 215301065111528 430602130223056