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41320434012 = 2231113197122231
BaseRepresentation
bin100110011110111000…
…111100100101011100
310221122200200112102220
4212132320330211130
51134111012342022
630552104145340
72661646615434
oct463670744534
9127580615386
1041320434012
1116584342720
128012168250
133b867c3370
141dddacb2c4
15111c8b185c
hex99ee3c95c

41320434012 has 96 divisors (see below), whose sum is σ = 113845906944. Its totient is φ = 11499398400.

The previous prime is 41320433989. The next prime is 41320434031. The reversal of 41320434012 is 21043402314.

It is a super-2 number, since 2×413204340122 (a number of 22 digits) contains 22 as substring.

It is a congruent 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, 276937 + ... + 399167.

It is an arithmetic number, because the mean of its divisors is an integer number (1185894864).

Almost surely, 241320434012 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 41320434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56922953472).

41320434012 is an abundant number, since it is smaller than the sum of its proper divisors (72525472932).

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

41320434012 is a wasteful number, since it uses less digits than its factorization.

41320434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122459 (or 122457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41320434012 its reverse (21043402314), we get a palindrome (62363836326).

The spelling of 41320434012 in words is "forty-one billion, three hundred twenty million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 197 286 394 429 572 591 788 858 1182 1716 2167 2364 2561 4334 5122 6501 7683 8668 10244 13002 15366 26004 28171 30732 56342 84513 112684 122231 169026 244462 338052 366693 488924 733386 1344541 1466772 1589003 2689082 3178006 4033623 4767009 5378164 6356012 8067246 9534018 16134492 17479033 19068036 24079507 34958066 48159014 52437099 69916132 72238521 96318028 104874198 144477042 209748396 264874577 288954084 313033591 529749154 626067182 794623731 939100773 1059498308 1252134364 1589247462 1878201546 3178494924 3443369501 3756403092 6886739002 10330108503 13773478004 20660217006 41320434012