Search a number
-
+
41224753783158 = 231129151457312121
BaseRepresentation
bin10010101111110011000101…
…10011100010000101110110
312101222001021222020121002120
421113321202303202011312
520400411243432030113
6223402220200220410
711453250554323551
oct1127714263420566
9171861258217076
1041224753783158
11121543578688a0
12475977276a706
131a0062939c22a
14a274083b7698
154b753cb91a23
hex257e62ce2176

41224753783158 has 128 divisors (see below), whose sum is σ = 93867919856640. Its totient is φ = 11955444480000.

The previous prime is 41224753783153. The next prime is 41224753783159. The reversal of 41224753783158 is 85138735742214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41224753783153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131923338 + ... + 132235458.

It is an arithmetic number, because the mean of its divisors is an integer number (733343123880).

Almost surely, 241224753783158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41224753783158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46933959928320).

41224753783158 is an abundant number, since it is smaller than the sum of its proper divisors (52643166073482).

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

41224753783158 is a wasteful number, since it uses less digits than its factorization.

41224753783158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312774.

The product of its digits is 45158400, while the sum is 60.

The spelling of 41224753783158 in words is "forty-one trillion, two hundred twenty-four billion, seven hundred fifty-three million, seven hundred eighty-three thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 151 174 302 319 453 457 638 906 914 957 1371 1661 1914 2742 3322 4379 4983 5027 8758 9966 10054 13137 13253 15081 26274 26506 30162 39759 48169 69007 79518 96338 138014 144507 145783 207021 289014 291566 312121 414042 437349 624242 759077 874698 936363 1518154 1872726 2001203 2277231 3433331 4002406 4554462 6003609 6866662 9051509 10299993 12007218 18103018 20599986 22013233 27154527 44026466 47130271 54309054 66039699 94260542 99566599 132079398 141390813 142639297 199133198 282781626 285278594 298699797 427917891 518432981 597399594 855835782 1036865962 1366777859 1555298943 1569032267 2733555718 3110597886 3138064534 4100333577 4136539613 4707096801 8200667154 8273079226 9414193602 12409618839 15034556449 21538533847 24819237678 30069112898 43077067694 45103669347 45501935743 64615601541 90207338694 91003871486 129231203082 136505807229 236923872317 273011614458 473847744634 624617481563 710771616951 1249234963126 1421543233902 1873852444689 3747704889378 6870792297193 13741584594386 20612376891579 41224753783158