Search a number
-
+
41275169139984 = 24313313809261223
BaseRepresentation
bin10010110001010000111111…
…10010110110110100010000
312102010212102111122002011120
421120220133302312310100
520402223021244434414
6223441315000242240
711460014111641263
oct1130503762666420
9172125374562146
1041275169139984
1112173778a3564a
1247674a2770380
131a053021c9410
14a29a2bd48cda
154b89ddc302a9
hex258a1fcb6d10

41275169139984 has 160 divisors (see below), whose sum is σ = 115339340309760. Its totient is φ = 12643780091904.

The previous prime is 41275169139947. The next prime is 41275169140001. The reversal of 41275169139984 is 48993196157214.

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, 157876797 + ... + 158138019.

It is an arithmetic number, because the mean of its divisors is an integer number (720870876936).

Almost surely, 241275169139984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41275169139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57669670154880).

41275169139984 is an abundant number, since it is smaller than the sum of its proper divisors (74064171169776).

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

41275169139984 is a wasteful number, since it uses less digits than its factorization.

41275169139984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262369 (or 262363 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 69.

The spelling of 41275169139984 in words is "forty-one trillion, two hundred seventy-five billion, one hundred sixty-nine million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 624 626 809 939 1252 1618 1878 2427 2504 3236 3756 4069 4854 5008 6472 7512 8138 9708 10517 12207 12944 15024 16276 19416 21034 24414 31551 32552 38832 42068 48828 63102 65104 84136 97656 126204 168272 195312 252408 253217 261223 504816 506434 522446 759651 783669 1012868 1044892 1519302 1567338 2025736 2089784 3038604 3134676 3291821 3395899 4051472 4179568 6077208 6269352 6583642 6791798 9875463 10187697 12154416 12538704 13167284 13583596 19750926 20375394 26334568 27167192 39501852 40750788 52669136 54334384 79003704 81501576 81762799 158007408 163003152 163525598 211329407 245288397 327051196 422658814 490576794 633988221 654102392 845317628 981153588 1062916387 1267976442 1308204784 1690635256 1962307176 2125832774 2535952884 2747282291 3188749161 3381270512 3924614352 4251665548 5071905768 5494564582 6377498322 8241846873 8503331096 10143811536 10989129164 12754996644 16483693746 17006662192 21978258328 25509993288 32967387492 43956516656 51019986576 65934774984 66146104391 131869549968 132292208782 198438313173 264584417564 396876626346 529168835128 793753252692 859899357083 1058337670256 1587506505384 1719798714166 2579698071249 3175013010768 3439597428332 5159396142498 6879194856664 10318792284996 13758389713328 20637584569992 41275169139984