Search a number
-
+
41426143116556 = 221119181397689603
BaseRepresentation
bin10010110101101010001101…
…00010110111110100001100
312102200022010010210201201111
421122311012202313310030
520412211220114212211
6224034524000421404
711503640305366342
oct1132650642676414
9172608103721644
1041426143116556
11122218018a2810
1247907b7617864
131a166124a3a73
14a33070bd1992
154bc8c80a0421
hex25ad468b7d0c

41426143116556 has 96 divisors (see below), whose sum is σ = 83919620977920. Its totient is φ = 17695739001600.

The previous prime is 41426143116551. The next prime is 41426143116563. The reversal of 41426143116556 is 65561134162414.

41426143116556 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 2×414261431165562 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41426143116551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59727651 + ... + 60417253.

It is an arithmetic number, because the mean of its divisors is an integer number (874162718520).

Almost surely, 241426143116556 is an apocalyptic number.

It is an amenable number.

41426143116556 is an abundant number, since it is smaller than the sum of its proper divisors (42493477861364).

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

41426143116556 is a wasteful number, since it uses less digits than its factorization.

41426143116556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690215 (or 690213 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 41426143116556 in words is "forty-one trillion, four hundred twenty-six billion, one hundred forty-three million, one hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 4 11 19 22 38 44 76 181 209 362 397 418 724 794 836 1588 1991 3439 3982 4367 6878 7543 7964 8734 13756 15086 17468 30172 37829 71857 75658 82973 143714 151316 165946 287428 331892 689603 790427 1365283 1379206 1580854 2730566 2758412 3161708 5461132 7585633 13102457 15018113 15171266 26204914 30036226 30342532 52409828 60072452 124818143 144127027 249636286 273772391 288254054 499272572 547544782 576508108 1095089564 1372999573 2371544717 2745999146 3011496301 4743089434 5201675429 5491998292 6022992602 9486178868 10403350858 12045985204 20806701716 26086991887 49552802771 52173983774 57218429719 99105605542 104347967548 114436859438 198211211084 228873718876 545080830481 941503252649 1090161660962 1883006505298 2180323321924 3766013010596 10356535779139 20713071558278 41426143116556