Search a number
-
+
434780785140 = 2235131633419701
BaseRepresentation
bin1100101001110101111…
…01000100100111110100
31112120020121202022200020
412110322331010213310
524110412340111030
6531422513045140
743261162460652
oct6247275044764
91476217668606
10434780785140
11158431467029
127031b2567b0
1331ccc30aa90
1417087527dd2
15b49a0c6510
hex653af449f4

434780785140 has 96 divisors (see below), whose sum is σ = 1319074813056. Its totient is φ = 106366348800.

The previous prime is 434780785111. The next prime is 434780785157. The reversal of 434780785140 is 41587087434.

It is a super-2 number, since 2×4347807851402 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 1582711 + ... + 1836990.

It is an arithmetic number, because the mean of its divisors is an integer number (13740362636).

Almost surely, 2434780785140 is an apocalyptic number.

It is an amenable number.

434780785140 is an abundant number, since it is smaller than the sum of its proper divisors (884294027916).

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

434780785140 is a wasteful number, since it uses less digits than its factorization.

434780785140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419889 (or 3419887 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 434780785140 in words is "four hundred thirty-four billion, seven hundred eighty million, seven hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 163 195 260 326 390 489 652 780 815 978 1630 1956 2119 2445 3260 4238 4890 6357 8476 9780 10595 12714 21190 25428 31785 42380 63570 127140 3419701 6839402 10259103 13678804 17098505 20518206 34197010 41036412 44456113 51295515 68394020 88912226 102591030 133368339 177824452 205182060 222280565 266736678 444561130 533473356 557411263 666841695 889122260 1114822526 1333683390 1672233789 2229645052 2667366780 2787056315 3344467578 5574112630 6688935156 7246346419 8361168945 11148225260 14492692838 16722337890 21739039257 28985385676 33444675780 36231732095 43478078514 72463464190 86956157028 108695196285 144926928380 217390392570 434780785140