Search a number
-
+
41023994361804 = 223253127200384523
BaseRepresentation
bin10010101001111101001001…
…00111000111011111001100
312101020212002200222022100100
421110332210213013133030
520334114120024034204
6223130055101131100
711432612552361246
oct1124764447073714
9171225080868310
1041023994361804
11120871a6362143
124726884859a90
1319b771393720c
14a1b8014d1096
154b21dcc0da39
hex254fa49c77cc

41023994361804 has 144 divisors (see below), whose sum is σ = 106542499295232. Its totient is φ = 13304206371456.

The previous prime is 41023994361743. The next prime is 41023994361869. The reversal of 41023994361804 is 40816349932014.

41023994361804 is a `hidden beast` number, since 4 + 1 + 0 + 23 + 9 + 9 + 436 + 180 + 4 = 666.

It is a super-2 number, since 2×410239943618042 (a number of 28 digits) contains 22 as substring.

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, 485316687 + ... + 485401209.

It is an arithmetic number, because the mean of its divisors is an integer number (739878467328).

Almost surely, 241023994361804 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 41023994361804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53271249647616).

41023994361804 is an abundant number, since it is smaller than the sum of its proper divisors (65518504933428).

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

41023994361804 is a wasteful number, since it uses less digits than its factorization.

41023994361804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86716 (or 86711 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 41023994361804 in words is "forty-one trillion, twenty-three billion, nine hundred ninety-four million, three hundred sixty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 127 159 212 254 318 381 477 508 636 762 954 1143 1524 1908 2003 2286 4006 4572 6009 6731 8012 12018 13462 18027 20193 24036 26924 36054 40386 60579 72108 80772 84523 106159 121158 169046 212318 242316 253569 254381 318477 338092 424636 507138 508762 636954 760707 763143 955431 1014276 1017524 1273908 1521414 1526286 1910862 2289429 3042828 3052572 3821724 4479719 4578858 8959438 9157716 10734421 13439157 13482193 17918876 21468842 26878314 26964386 32203263 40317471 40446579 42937684 53756628 53928772 64406526 80634942 80893158 96609789 121339737 128813052 161269884 161786316 169299569 193219578 242679474 338599138 386439156 485358948 507898707 568924313 677198276 1015797414 1137848626 1523696121 1706772939 2031594828 2275697252 3047392242 3413545878 5120318817 6094784484 6827091756 8972877157 10240637634 17945754314 20481275268 21501045263 26918631471 35891508628 43002090526 53837262942 64503135789 80755894413 86004181052 107674525884 129006271578 161511788826 193509407367 258012543156 323023577652 387018814734 774037629468 1139555398939 2279110797878 3418666196817 4558221595756 6837332393634 10255998590451 13674664787268 20511997180902 41023994361804