Search a number
-
+
441919212930 = 232513505174779
BaseRepresentation
bin1100110111001000111…
…00000000110110000010
31120020200002222000200200
412123210130000312002
524220022304303210
6535003114230030
743633112221536
oct6334434006602
91506602860620
10441919212930
11160464969528
1271791a25316
13328991c0550
14175635d9bc6
15b766b360c0
hex66e4700d82

441919212930 has 96 divisors (see below), whose sum is σ = 1237635322560. Its totient is φ = 108757123200.

The previous prime is 441919212919. The next prime is 441919212989. The reversal of 441919212930 is 39212919144.

441919212930 is a `hidden beast` number, since 4 + 419 + 19 + 212 + 9 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5872281 + ... + 5947059.

It is an arithmetic number, because the mean of its divisors is an integer number (12892034610).

Almost surely, 2441919212930 is an apocalyptic number.

441919212930 is an abundant number, since it is smaller than the sum of its proper divisors (795716109630).

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

441919212930 is a wasteful number, since it uses less digits than its factorization.

441919212930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79856 (or 79853 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 441919212930 in words is "four hundred forty-one billion, nine hundred nineteen million, two hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 5051 10102 15153 25255 30306 45459 50510 65663 74779 75765 90918 131326 149558 151530 196989 224337 227295 328315 373895 393978 448674 454590 590967 656630 673011 747790 972127 984945 1121685 1181934 1346022 1944254 1969890 2243370 2916381 2954835 3365055 4860635 5832762 5909670 6730110 8749143 9721270 14581905 17498286 29163810 43745715 87491430 377708729 755417458 1133126187 1888543645 2266252374 3399378561 3777087290 4910213477 5665630935 6798757122 9820426954 11331261870 14730640431 16996892805 24551067385 29461280862 33993785610 44191921293 49102134770 73653202155 88383842586 147306404310 220959606465 441919212930