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41354530120 = 23529174120477
BaseRepresentation
bin100110100000111011…
…000000110101001000
310221202001211210111201
4212200323000311020
51134143224430440
630555323033544
72662542464131
oct464073006510
9127661753451
1041354530120
11165a1610622
12802166b8b4
133b908a0887
142004444c88
15112089919a
hex9a0ec0d48

41354530120 has 64 divisors (see below), whose sum is σ = 96316225200. Its totient is φ = 15961451520.

The previous prime is 41354530097. The next prime is 41354530163. The reversal of 41354530120 is 2103545314.

It can be written as a sum of positive squares in 8 ways, for example, as 9634207716 + 31720322404 = 98154^2 + 178102^2 .

It is a super-2 number, since 2×413545301202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009322 + ... + 2029798.

Almost surely, 241354530120 is an apocalyptic number.

41354530120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41354530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158112600).

41354530120 is an abundant number, since it is smaller than the sum of its proper divisors (54961695080).

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

41354530120 is a wasteful number, since it uses less digits than its factorization.

41354530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258 (or 22254 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 41354530120 in words is "forty-one billion, three hundred fifty-four million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1741 3482 6964 8705 13928 17410 20477 34820 40954 50489 69640 81908 100978 102385 163816 201956 204770 252445 403912 409540 504890 593833 819080 1009780 1187666 2019560 2375332 2969165 4750664 5938330 11876660 23753320 35650457 71300914 142601828 178252285 285203656 356504570 713009140 1033863253 1426018280 2067726506 4135453012 5169316265 8270906024 10338632530 20677265060 41354530120