Search a number
-
+
241446631050 = 2325211323919867
BaseRepresentation
bin1110000011011101010…
…1110011011010001010
3212002012211102200201200
43200313111303122022
512423440314143200
6302530303125030
723305162334022
oct3406725633212
9762184380650
10241446631050
1193440368599
123a963ba3776
13199cacc9031
14b98685ca82
156431e62800
hex383757368a

241446631050 has 144 divisors (see below), whose sum is σ = 657198472320. Its totient is φ = 63545771520.

The previous prime is 241446631039. The next prime is 241446631109. The reversal of 241446631050 is 50136644142.

241446631050 is a `hidden beast` number, since 2 + 4 + 14 + 4 + 6 + 631 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241446630996 and 241446631014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12143217 + ... + 12163083.

It is an arithmetic number, because the mean of its divisors is an integer number (4563878280).

Almost surely, 2241446631050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241446631050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328599236160).

241446631050 is an abundant number, since it is smaller than the sum of its proper divisors (415751841270).

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

241446631050 is a wasteful number, since it uses less digits than its factorization.

241446631050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20237 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 241446631050 in words is "two hundred forty-one billion, four hundred forty-six million, six hundred thirty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 239 339 450 478 565 678 717 1017 1130 1195 1434 1695 2034 2151 2390 2825 3390 3585 4302 5085 5650 5975 7170 8475 10170 10755 11950 16950 17925 19867 21510 25425 27007 35850 39734 50850 53775 54014 59601 81021 99335 107550 119202 135035 162042 178803 198670 243063 270070 298005 357606 405105 486126 496675 596010 675175 810210 894015 993350 1215315 1350350 1490025 1788030 2025525 2244971 2430630 2980050 4051050 4470075 4489942 4748213 6076575 6734913 8940150 9496426 11224855 12153150 13469826 14244639 20204739 22449710 23741065 28489278 33674565 40409478 42733917 47482130 56124275 67349130 71223195 85467834 101023695 112248550 118705325 142446390 168372825 202047390 213669585 237410650 336745650 356115975 427339170 505118475 536548069 712231950 1010236950 1068347925 1073096138 1609644207 2136695850 2682740345 3219288414 4828932621 5365480690 8048221035 9657865242 13413701725 16096442070 24144663105 26827403450 40241105175 48289326210 80482210350 120723315525 241446631050