Search a number
-
+
444200406060 = 2235193710531067
BaseRepresentation
bin1100111011011000110…
…10000100110000101100
31120110120002102122101010
412131230122010300230
524234210300443220
6540021324145220
744043462103425
oct6355432046054
91513502378333
10444200406060
11161425604704
1272109998210
1332b709ac378
14176dc57064c
15b84c0401e0
hex676c684c2c

444200406060 has 96 divisors (see below), whose sum is σ = 1344606762240. Its totient is φ = 109186092288.

The previous prime is 444200406053. The next prime is 444200406119. The reversal of 444200406060 is 60604002444.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5223354 + ... + 5307713.

It is an arithmetic number, because the mean of its divisors is an integer number (14006320440).

Almost surely, 2444200406060 is an apocalyptic number.

It is an amenable number.

444200406060 is an abundant number, since it is smaller than the sum of its proper divisors (900406356180).

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

444200406060 is a wasteful number, since it uses less digits than its factorization.

444200406060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531135 (or 10531133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 444200406060 in words is "four hundred forty-four billion, two hundred million, four hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 10531067 21062134 31593201 42124268 52655335 63186402 105310670 126372804 157966005 200090273 210621340 315932010 389649479 400180546 600270819 631864020 779298958 800361092 1000451365 1168948437 1200541638 1558597916 1948247395 2000902730 2337896874 2401083276 3001354095 3896494790 4001805460 4675793748 5844742185 6002708190 7403340101 7792989580 11689484370 12005416380 14806680202 22210020303 23378968740 29613360404 37016700505 44420040606 74033401010 88840081212 111050101515 148066802020 222100203030 444200406060