Search a number
-
+
423444985400 = 235243449109661
BaseRepresentation
bin1100010100101110100…
…10011011011000111000
31111110222121110000210102
412022113102123120320
523414203404013100
6522310011334532
742410234663063
oct6122722333070
91443877400712
10423444985400
11153644722998
126a096a51448
1330c1395c878
14166cdc058da
15b034d05cd5
hex629749b638

423444985400 has 96 divisors (see below), whose sum is σ = 1009658034000. Its totient is φ = 165069004800.

The previous prime is 423444985387. The next prime is 423444985417. The reversal of 423444985400 is 4589444324.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3806570 + ... + 3916230.

Almost surely, 2423444985400 is an apocalyptic number.

423444985400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423444985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504829017000).

423444985400 is an abundant number, since it is smaller than the sum of its proper divisors (586213048600).

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

423444985400 is a wasteful number, since it uses less digits than its factorization.

423444985400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110169 (or 110160 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 423444985400 in words is "four hundred twenty-three billion, four hundred forty-four million, nine hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 449 860 898 1075 1720 1796 2150 2245 3592 4300 4490 8600 8980 11225 17960 19307 22450 38614 44900 77228 89800 96535 109661 154456 193070 219322 386140 438644 482675 548305 772280 877288 965350 1096610 1930700 2193220 2741525 3861400 4386440 4715423 5483050 9430846 10966100 18861692 21932200 23577115 37723384 47154230 49237789 94308460 98475578 117885575 188616920 196951156 235771150 246188945 393902312 471542300 492377890 943084600 984755780 1230944725 1969511560 2117224927 2461889450 4234449854 4923778900 8468899708 9847557800 10586124635 16937799416 21172249270 42344498540 52930623175 84688997080 105861246350 211722492700 423444985400