Search a number
-
+
41406959714032 = 24113172971040051
BaseRepresentation
bin10010110101000110011110…
…00111111111111011110000
312102121110121012211220121201
421122203033013333323300
520411402423141322112
6224022032241500544
711502361030224163
oct1132431707777360
9172543535756551
1041406959714032
1112214658310540
124788b43041754
131a14876040803
14a32171155ada
154bc153d89257
hex25a8cf1ffef0

41406959714032 has 80 divisors (see below), whose sum is σ = 90354925200384. Its totient is φ = 18211691520000.

The previous prime is 41406959714011. The next prime is 41406959714039. The reversal of 41406959714032 is 23041795960414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41406959714039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39292407 + ... + 40332457.

Almost surely, 241406959714032 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 41406959714032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177462600192).

41406959714032 is an abundant number, since it is smaller than the sum of its proper divisors (48947965486352).

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

41406959714032 is a wasteful number, since it uses less digits than its factorization.

41406959714032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047398 (or 1047392 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 41406959714032 in words is "forty-one trillion, four hundred six billion, nine hundred fifty-nine million, seven hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 7297 14594 29188 58376 80267 116752 160534 226207 321068 452414 642136 904828 1040051 1284272 1809656 2080102 2488277 3619312 4160204 4976554 8320408 9953108 11440561 16640816 19906216 22881122 32241581 39812432 45762244 64483162 91524488 128966324 183048976 257932648 354657391 515865296 709314782 1418629564 2837259128 5674518256 7589252147 15178504294 30357008588 60714017176 83481773617 121428034352 166963547234 235266816557 333927094468 470533633114 667854188936 941067266228 1335708377872 1882134532456 2587934982127 3764269064912 5175869964254 10351739928508 20703479857016 41406959714032