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434430204020 = 2251923179277687
BaseRepresentation
bin1100101001001100000…
…11101101100001110100
31112112100012001221210022
412110212003231201310
524104203113012040
6531324030544312
743246404543401
oct6244603554164
91475305057708
10434430204020
1115827158526a
1270241968098
1331c747b0227
1417052b492a8
15b4794256b5
hex65260ed874

434430204020 has 96 divisors (see below), whose sum is σ = 1007674214400. Its totient is φ = 156588246144.

The previous prime is 434430204017. The next prime is 434430204031. The reversal of 434430204020 is 20402034434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425617 + ... + 1703303.

It is an arithmetic number, because the mean of its divisors is an integer number (10496606400).

Almost surely, 2434430204020 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 434430204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503837107200).

434430204020 is an abundant number, since it is smaller than the sum of its proper divisors (573244010380).

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

434430204020 is a wasteful number, since it uses less digits than its factorization.

434430204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277917 (or 277915 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 434430204020 its reverse (20402034434), we get a palindrome (454832238454).

The spelling of 434430204020 in words is "four hundred thirty-four billion, four hundred thirty million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 179 190 230 358 380 437 460 716 874 895 1748 1790 2185 3401 3580 4117 4370 6802 8234 8740 13604 16468 17005 20585 34010 41170 68020 78223 82340 156446 277687 312892 391115 555374 782230 1110748 1388435 1564460 2776870 5276053 5553740 6386801 10552106 12773602 21104212 25547204 26380265 31934005 49705973 52760530 63868010 99411946 105521060 121349219 127736020 198823892 242698438 248529865 485396876 497059730 606746095 944413487 994119460 1143237379 1213492190 1888826974 2286474758 2426984380 3777653948 4572949516 4722067435 5716186895 9444134870 11432373790 18888269740 21721510201 22864747580 43443020402 86886040804 108607551005 217215102010 434430204020