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41334114540 = 22358310976147
BaseRepresentation
bin100110011111101101…
…001000100011101100
310221200122102120121010
4212133231020203230
51134123013131130
630553313305220
72662204114365
oct463755104354
9127618376533
1041334114540
1116591037044
128016865210
133b895a3254
14200184cb6c
15111dbb50b0
hex99fb488ec

41334114540 has 96 divisors (see below), whose sum is σ = 118206063360. Its totient is φ = 10789583616.

The previous prime is 41334114529. The next prime is 41334114581. The reversal of 41334114540 is 4541143314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41334114498 and 41334114507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504747 + ... + 580893.

It is an arithmetic number, because the mean of its divisors is an integer number (1231313160).

Almost surely, 241334114540 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 41334114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59103031680).

41334114540 is an abundant number, since it is smaller than the sum of its proper divisors (76871948820).

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

41334114540 is a wasteful number, since it uses less digits than its factorization.

41334114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76351 (or 76349 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 41334114540 its reverse (4541143314), we get a palindrome (45875257854).

The spelling of 41334114540 in words is "forty-one billion, three hundred thirty-four million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 109 166 218 249 327 332 415 436 498 545 654 830 996 1090 1245 1308 1635 1660 2180 2490 3270 4980 6540 9047 18094 27141 36188 45235 54282 76147 90470 108564 135705 152294 180940 228441 271410 304588 380735 456882 542820 761470 913764 1142205 1522940 2284410 4568820 6320201 8300023 12640402 16600046 18960603 24900069 25280804 31601005 33200092 37921206 41500115 49800138 63202010 75842412 83000230 94803015 99600276 124500345 126404020 166000460 189606030 249000690 379212060 498001380 688901909 1377803818 2066705727 2755607636 3444509545 4133411454 6889019090 8266822908 10333528635 13778038180 20667057270 41334114540