Search a number
-
+
41414994196272 = 2433146023656527
BaseRepresentation
bin10010110101010101011100…
…00001000111011100110000
312102122020100011010220021000
421122222232001013130300
520412020402003240042
6224025441412402000
711503064110211514
oct1132525601073460
9172566304126230
1041414994196272
111221800059aa04
12478a605916300
131a15556767b08
14a326d4238144
154bc4743e674c
hex25aaae047730

41414994196272 has 80 divisors (see below), whose sum is σ = 118877367393280. Its totient is φ = 13804882498368.

The previous prime is 41414994196253. The next prime is 41414994196309. The reversal of 41414994196272 is 27269149941414.

41414994196272 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 99 + 419 + 62 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62753673 + ... + 63410199.

It is an arithmetic number, because the mean of its divisors is an integer number (1485967092416).

Almost surely, 241414994196272 is an apocalyptic number.

It is an amenable number.

41414994196272 is an abundant number, since it is smaller than the sum of its proper divisors (77462373197008).

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

41414994196272 is a wasteful number, since it uses less digits than its factorization.

41414994196272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802567 (or 802555 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 41414994196272 in words is "forty-one trillion, four hundred fourteen billion, nine hundred ninety-four million, one hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 146023 292046 438069 584092 656527 876138 1168184 1313054 1314207 1752276 1969581 2336368 2626108 2628414 3504552 3939162 3942621 5252216 5256828 5908743 7009104 7878324 7885242 10504432 10513656 11817486 15756648 15770484 17726229 21027312 23634972 31513296 31540968 35452458 47269944 63081936 70904916 94539888 141809832 283619664 95868042121 191736084242 287604126363 383472168484 575208252726 766944336968 862812379089 1150416505452 1533888673936 1725624758178 2300833010904 2588437137267 3451249516356 4601666021808 5176874274534 6902499032712 10353748549068 13804998065424 20707497098136 41414994196272