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4201874430 = 2351343713529
BaseRepresentation
bin1111101001110011…
…1000001111111110
3101211211120100002220
43322130320033332
532101134440210
61532540430210
7206061225525
oct37234701776
911754510086
104201874430
1118669374a6
12993248366
1351c6b3c40
142bc0a34bc
15198d4ec70
hexfa7383fe

4201874430 has 128 divisors (see below), whose sum is σ = 11272504320. Its totient is φ = 995742720.

The previous prime is 4201874429. The next prime is 4201874477. The reversal of 4201874430 is 344781024.

It is a junction number, because it is equal to n+sod(n) for n = 4201874391 and 4201874400.

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, 1188906 + ... + 1192434.

It is an arithmetic number, because the mean of its divisors is an integer number (88066440).

Almost surely, 24201874430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201874430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636252160).

4201874430 is an abundant number, since it is smaller than the sum of its proper divisors (7070629890).

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

4201874430 is a wasteful number, since it uses less digits than its factorization.

4201874430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4201874430 is about 64821.8669123314. The cubic root of 4201874430 is about 1613.6686308870.

The spelling of 4201874430 in words is "four billion, two hundred one million, eight hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 71 78 86 129 130 142 195 213 215 258 355 390 426 430 559 645 710 923 1065 1118 1290 1677 1846 2130 2769 2795 3053 3354 3529 4615 5538 5590 6106 7058 8385 9159 9230 10587 13845 15265 16770 17645 18318 21174 27690 30530 35290 39689 45795 45877 52935 79378 91590 91754 105870 119067 137631 151747 198445 229385 238134 250559 275262 303494 396890 455241 458770 501118 595335 688155 751677 758735 910482 1190670 1252795 1376310 1503354 1517470 1972711 2276205 2505590 3257267 3758385 3945422 4552410 5918133 6514534 7516770 9771801 9863555 10774037 11836266 16286335 19543602 19727110 21548074 29590665 32322111 32572670 48859005 53870185 59181330 64644222 97718010 107740370 140062481 161610555 280124962 323221110 420187443 700312405 840374886 1400624810 2100937215 4201874430