Search a number
-
+
41534452521036 = 223229349114515527
BaseRepresentation
bin10010111000110011111100…
…10010011101100001001100
312110001122200102001120000200
421130121332102131201030
520421000024321133121
6224200355235053500
711514523311214026
oct1134317622354114
9173048612046020
1041534452521036
1112263731713442
1247a97a4141290
131a238b3667b97
14a383c765b016
154c0616a50a26
hex25c67e49d84c

41534452521036 has 144 divisors (see below), whose sum is σ = 105654616075008. Its totient is φ = 13757485392000.

The previous prime is 41534452521013. The next prime is 41534452521047. The reversal of 41534452521036 is 63012525443514.

41534452521036 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 44 + 52 + 521 + 0 + 36 = 666.

41534452521036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×415344525210362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41534452520982 and 41534452521000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7514824905 + ... + 7514830431.

It is an arithmetic number, because the mean of its divisors is an integer number (733712611632).

Almost surely, 241534452521036 is an apocalyptic number.

It is an amenable number.

41534452521036 is an abundant number, since it is smaller than the sum of its proper divisors (64120163553972).

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

41534452521036 is a wasteful number, since it uses less digits than its factorization.

41534452521036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 41534452521036 in words is "forty-one trillion, five hundred thirty-four billion, four hundred fifty-two million, five hundred twenty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 293 491 586 879 982 1172 1451 1473 1758 1964 2637 2902 2946 3516 4353 4419 5274 5527 5804 5892 8706 8838 10548 11054 13059 16581 17412 17676 22108 26118 33162 49743 52236 66324 99486 143863 198972 287726 425143 431589 575452 712441 850286 863178 1275429 1294767 1424882 1619411 1700572 1726356 2137323 2550858 2589534 2713757 2849764 3238822 3826287 4274646 4858233 5101716 5179068 5427514 6411969 6477644 7652574 8019677 8141271 8549292 9716466 10855028 12823938 14574699 15305148 16039354 16282542 19432932 24059031 24423813 25647876 29149398 32078708 32565084 48118062 48847626 58298796 72177093 96236124 97695252 144354186 208745213 288708372 417490426 626235639 795130801 834980852 1252471278 1590261602 1878706917 2349765361 2385392403 2504942556 3180523204 3757413834 3937661407 4699530722 4770784806 7049296083 7156177209 7514827668 7875322814 9399061444 9541569612 11812984221 14098592166 14312354418 15750645628 21147888249 23625968442 28197184332 28624708836 35438952663 42295776498 47251936884 70877905326 84591552996 141755810652 1153734792251 2307469584502 3461204376753 4614939169004 6922408753506 10383613130259 13844817507012 20767226260518 41534452521036