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41434244412 = 22311283893863
BaseRepresentation
bin100110100101101011…
…000110010100111100
310221221121211200221220
4212211223012110330
51134324131310122
631011251353340
72664531160251
oct464553062474
9127847750856
1041434244412
1116632607100
1280442b2850
133ba4260bb2
142010c75428
15112789325c
hex9a5ac653c

41434244412 has 144 divisors (see below), whose sum is σ = 108784892160. Its totient is φ = 12262004480.

The previous prime is 41434244393. The next prime is 41434244413. The reversal of 41434244412 is 21444243414.

41434244412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434244413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10723993 + ... + 10727855.

It is an arithmetic number, because the mean of its divisors is an integer number (755450640).

Almost surely, 241434244412 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 41434244412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54392446080).

41434244412 is an abundant number, since it is smaller than the sum of its proper divisors (67350647748).

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

41434244412 is a wasteful number, since it uses less digits than its factorization.

41434244412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4051 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 41434244412 its reverse (21444243414), we get a palindrome (62878487826).

The spelling of 41434244412 in words is "forty-one billion, four hundred thirty-four million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 89 121 132 166 178 242 249 267 332 356 363 484 498 534 726 913 979 996 1068 1452 1826 1958 2739 2937 3652 3863 3916 5478 5874 7387 7726 10043 10769 10956 11589 11748 14774 15452 20086 21538 22161 23178 29548 30129 32307 40172 42493 43076 44322 46356 60258 64614 81257 84986 88644 120516 127479 129228 162514 169972 243771 254958 320629 325028 343807 467423 487542 509916 641258 687614 893827 934846 961887 975084 1031421 1282516 1375228 1402269 1787654 1869692 1923774 2062842 2681481 2804538 3526919 3575308 3781877 3847548 4125684 5362962 5609076 7053838 7563754 10580757 10725924 11345631 14107676 15127508 21161514 22691262 28535981 38796109 41600647 42323028 45382524 57071962 77592218 83201294 85607943 114143924 116388327 124801941 155184436 166402588 171215886 232776654 249603882 313895791 342431772 465553308 499207764 627791582 941687373 1255583164 1883374746 3452853701 3766749492 6905707402 10358561103 13811414804 20717122206 41434244412