Search a number
-
+
210202433040420 = 223255919793072791
BaseRepresentation
bin101111110010110110010001…
…010110100011000000100100
31000120021011012222100020220100
4233302312101112203000210
5210022424040324243140
62023021355321104100
762163424150303332
oct5762662126430044
91016234188306810
10210202433040420
1160a82395537877
121b6aa781628030
13903a009820052
1439c9bd0014b52
151947caad57530
hexbf2d915a3024

210202433040420 has 72 divisors (see below), whose sum is σ = 648421064665920. Its totient is φ = 55103914647360.

The previous prime is 210202433040331. The next prime is 210202433040461. The reversal of 210202433040420 is 24040334202012.

210202433040420 is a `hidden beast` number, since 2 + 1 + 0 + 202 + 4 + 3 + 30 + 4 + 0 + 420 = 666.

It is a super-4 number, since 4×2102024330404204 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9896525776 + ... + 9896547015.

It is an arithmetic number, because the mean of its divisors is an integer number (9005848120360).

Almost surely, 2210202433040420 is an apocalyptic number.

210202433040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202433040420 is an abundant number, since it is smaller than the sum of its proper divisors (438218631625500).

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

210202433040420 is a wasteful number, since it uses less digits than its factorization.

210202433040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793072865 (or 19793072860 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 210202433040420 its reverse (24040334202012), we get a palindrome (234242767242432).

The spelling of 210202433040420 in words is "two hundred ten trillion, two hundred two billion, four hundred thirty-three million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 19793072791 39586145582 59379218373 79172291164 98965363955 118758436746 178137655119 197930727910 237516873492 296896091865 356275310238 395861455820 593792183730 712550620476 890688275595 1167791294669 1187584367460 1781376551190 2335582589338 3503373884007 3562753102380 4671165178676 5838956473345 7006747768014 10510121652021 11677912946690 14013495536028 17516869420035 21020243304042 23355825893380 35033738840070 42040486608084 52550608260105 70067477680140 105101216520210 210202433040420