Search a number
-
+
40441023212220 = 223251095813354587
BaseRepresentation
bin10010011000111111010001…
…10100101010101010111100
312022012010100102220111002200
421030133220310222222330
520300041203420242340
6222002203302151500
711342524153354401
oct1114375064525274
9168163312814080
1040441023212220
1111981a3a342a44
1246518a8a22590
131974758c61a77
149db4daaba2a8
154a1e6cd66330
hex24c7e8d2aabc

40441023212220 has 144 divisors (see below), whose sum is σ = 123818172397920. Its totient is φ = 10683466265088.

The previous prime is 40441023212179. The next prime is 40441023212231. The reversal of 40441023212220 is 2221232014404.

It is a happy number.

40441023212220 is a `hidden beast` number, since 4 + 0 + 4 + 410 + 2 + 3 + 21 + 2 + 220 = 666.

It is a congruent number.

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, 113873767 + ... + 114228353.

It is an arithmetic number, because the mean of its divisors is an integer number (859848419430).

Almost surely, 240441023212220 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 40441023212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61909086198960).

40441023212220 is an abundant number, since it is smaller than the sum of its proper divisors (83377149185700).

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

40441023212220 is a wasteful number, since it uses less digits than its factorization.

40441023212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360524 (or 360519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40441023212220 its reverse (2221232014404), we get a palindrome (42662255226624).

The spelling of 40441023212220 in words is "forty trillion, four hundred forty-one billion, twenty-three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 5813 6540 9810 11626 17439 19620 23252 29065 34878 52317 58130 69756 87195 104634 116260 174390 209268 261585 348780 354587 523170 633617 709174 1046340 1063761 1267234 1418348 1772935 1900851 2127522 2534468 3168085 3191283 3545870 3801702 4255044 5318805 5702553 6336170 6382566 7091740 7603404 9504255 10637610 11405106 12672340 12765132 15956415 19008510 21275220 22810212 28512765 31912830 38017020 38649983 57025530 63825660 77299966 114051060 115949949 154599932 193249915 231899898 347849847 386499830 463799796 579749745 695699694 772999660 1159499490 1391399388 1739249235 2061214231 2318998980 3478498470 4122428462 6183642693 6956996940 8244856924 10306071155 12367285386 18550928079 20612142310 24734570772 30918213465 37101856158 41224284620 61836426930 74203712316 92754640395 123672853860 185509280790 224672351179 371018561580 449344702358 674017053537 898689404716 1123361755895 1348034107074 2022051160611 2246723511790 2696068214148 3370085267685 4044102321222 4493447023580 6740170535370 8088204642444 10110255803055 13480341070740 20220511606110 40441023212220