Search a number
-
+
4285213044630 = 235759419825443
BaseRepresentation
bin111110010110111010100…
…110011110111110010110
3120011122212212100120021120
4332112322212132332112
51030202104014412010
613040333311224410
7621411400613430
oct76267246367626
916148785316246
104285213044630
1114023920594a1
12592605218106
1325112b281bbb
1410b596677650
15767053d8e70
hex3e5ba99ef96

4285213044630 has 128 divisors (see below), whose sum is σ = 11981484748800. Its totient is φ = 960576760704.

The previous prime is 4285213044611. The next prime is 4285213044643. The reversal of 4285213044630 is 364403125824.

It is a super-2 number, since 2×42852130446302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4778689 + ... + 5604131.

It is an arithmetic number, because the mean of its divisors is an integer number (93605349600).

Almost surely, 24285213044630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285213044630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990742374400).

4285213044630 is an abundant number, since it is smaller than the sum of its proper divisors (7696271704170).

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

4285213044630 is a wasteful number, since it uses less digits than its factorization.

4285213044630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825938.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4285213044630 in words is "four trillion, two hundred eighty-five billion, two hundred thirteen million, forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 419 590 826 838 885 1239 1257 1770 2065 2095 2478 2514 2933 4130 4190 5866 6195 6285 8799 12390 12570 14665 17598 24721 29330 43995 49442 74163 87990 123605 148326 173047 247210 346094 370815 519141 741630 825443 865235 1038282 1650886 1730470 2476329 2595705 4127215 4952658 5191410 5778101 8254430 11556202 12381645 17334303 24763290 28890505 34668606 48701137 57781010 86671515 97402274 146103411 173343030 243505685 292206822 340907959 345860617 487011370 681815918 691721234 730517055 1022723877 1037581851 1461034110 1704539795 1729303085 2045447754 2075163702 2421024319 3409079590 3458606170 4842048638 5113619385 5187909255 7263072957 10227238770 10375818510 12105121595 14526145914 20405776403 24210243190 36315364785 40811552806 61217329209 72630729570 102028882015 122434658418 142840434821 204057764030 285680869642 306086646045 428521304463 612173292090 714202174105 857042608926 1428404348210 2142606522315 4285213044630