Search a number
-
+
430093426703296 = 26171572791902141
BaseRepresentation
bin110000111001010101110110…
…1111010110011101111000000
32002101211112022101210010222011
41201302223231322303233000
5422333122314214001141
64122422105332422304
7156410140025240656
oct14162535572635700
92071745271703864
10430093426703296
1111504a663952734
12402a2ba2477994
13155ca8366c4655
14782c8c0a50dd6
1534acab5013881
hex1872aedeb3bc0

430093426703296 has 112 divisors (see below), whose sum is σ = 909753278231232. Its totient is φ = 201035475763200.

The previous prime is 430093426703243. The next prime is 430093426703429. The reversal of 430093426703296 is 692307624390034.

It is a self number, because there is not a number n which added to its sum of digits gives 430093426703296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476296386 + ... + 477198526.

Almost surely, 2430093426703296 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 430093426703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454876639115616).

430093426703296 is an abundant number, since it is smaller than the sum of its proper divisors (479659851527936).

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

430093426703296 is a wasteful number, since it uses less digits than its factorization.

430093426703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905118 (or 905108 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 58.

The spelling of 430093426703296 in words is "four hundred thirty trillion, ninety-three billion, four hundred twenty-six million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 157 272 314 544 628 1088 1256 2512 2669 2791 5024 5338 5582 10048 10676 11164 21352 22328 42704 44656 47447 85408 89312 94894 170816 178624 189788 379576 438187 759152 876374 902141 1518304 1752748 1804282 3036608 3505496 3608564 7010992 7217128 7449179 14021984 14434256 14898358 15336397 28043968 28868512 29796716 30672794 57737024 59593432 61345588 119186864 122691176 141636137 238373728 245382352 283272274 476747456 490764704 566544548 981529408 1133089096 2266178192 2407814329 2517875531 4532356384 4815628658 5035751062 9064712768 9631257316 10071502124 19262514632 20143004248 38525029264 40286008496 42803884027 77050058528 80572016992 85607768054 154100117056 161144033984 171215536108 342431072216 395306458367 684862144432 790612916734 1369724288864 1581225833468 2739448577728 3162451666936 6324903333872 6720209792239 12649806667744 13440419584478 25299613335488 26880839168956 53761678337912 107523356675824 215046713351648 430093426703296