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41316544561314 = 23113773325399091
BaseRepresentation
bin10010110010011110000011…
…11101100100000010100010
312102021211020000210021000210
421121033001331210002202
520403412240401430224
6223512320351154550
711463010330135641
oct1131170175440242
9172254200707023
1041316544561314
111218a280315030
12477350b215a56
131a09197202c49
14a2ba3506b358
154b9b11354429
hex2593c1f640a2

41316544561314 has 128 divisors (see below), whose sum is σ = 92754564848640. Its totient is φ = 12159034156800.

The previous prime is 41316544561307. The next prime is 41316544561319.

It is a happy number.

41316544561314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (41316544561319) 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, 4544769909 + ... + 4544778999.

It is an arithmetic number, because the mean of its divisors is an integer number (724645037880).

Almost surely, 241316544561314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41316544561314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46377282424320).

41316544561314 is an abundant number, since it is smaller than the sum of its proper divisors (51438020287326).

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

41316544561314 is a wasteful number, since it uses less digits than its factorization.

41316544561314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 4131654 and 4561314, that added together give a palindrome (8692968).

The spelling of 41316544561314 in words is "forty-one trillion, three hundred sixteen billion, five hundred forty-four million, five hundred sixty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 733 814 1221 1466 2199 2442 2539 4398 5078 7617 8063 9091 15234 16126 18182 24189 27121 27273 27929 48378 54242 54546 55858 81363 83787 93943 100001 162726 167574 187886 200002 281829 298331 300003 336367 563658 596662 600006 672734 894993 1009101 1033373 1789986 1861087 2018202 2066746 3100119 3700037 3722174 5583261 6200238 6663703 7400074 11100111 11166522 13327406 19991109 20471957 22200222 23082049 39982218 40943914 46164098 61415871 68860219 69246147 73300733 122831742 137720438 138492294 146601466 206580657 219902199 246557011 253902539 413161314 439804398 493114022 507805078 739671033 757462409 761707617 854035813 1479342066 1514924818 1523415234 1708071626 2272387227 2562107439 2712127121 4544774454 5124214878 5424254242 8136381363 9394393943 16272762726 16919141917 18788787886 28183181829 33838283834 50757425751 56366363658 101514851502 186110561087 372221122174 558331683261 626008250929 1116663366522 1252016501858 1878024752787 3756049505574 6886090760219 13772181520438 20658272280657 41316544561314