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41741166114714 = 23113734075017031
BaseRepresentation
bin10010111110110100111110…
…11000001111011110011010
312110210102020122011010200210
421133122133120033132122
520432341402011132324
6224435343232511550
711535462002605323
oct1137323730173632
9173712218133623
1041741166114714
1112333369099970
1248218740ab5b6
131a3a2378416a1
14a443d722344a
154c5bb45b7d29
hex25f69f60f79a

41741166114714 has 64 divisors (see below), whose sum is σ = 93560502546432. Its totient is φ = 12303363009600.

The previous prime is 41741166114701. The next prime is 41741166114793.

41741166114714 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×417411661147142 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5811379 + ... + 10828409.

It is an arithmetic number, because the mean of its divisors is an integer number (1461882852288).

Almost surely, 241741166114714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41741166114714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46780251273216).

41741166114714 is an abundant number, since it is smaller than the sum of its proper divisors (51819336431718).

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

41741166114714 is a wasteful number, since it uses less digits than its factorization.

41741166114714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020491.

The product of its digits is 451584, while the sum is 48.

The spelling of 41741166114714 in words is "forty-one trillion, seven hundred forty-one billion, one hundred sixty-six million, one hundred fourteen thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 3407 6814 10221 20442 37477 74954 112431 126059 224862 252118 378177 756354 1386649 2773298 4159947 5017031 8319894 10034062 15051093 30102186 55187341 110374682 165562023 185630147 331124046 371260294 556890441 1113780882 2041931617 4083863234 6125794851 12251589702 17093024617 34186049234 51279073851 102558147702 188023270787 376046541574 564069812361 632441910829 1128139624722 1264883821658 1897325732487 3794651464974 6956861019119 13913722038238 20870583057357 41741166114714