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41302122240 = 283522874703
BaseRepresentation
bin100110011101110011…
…000101111100000000
310221121102020012102010
4212131303011330000
51134041320402430
630550211452520
72661335150361
oct463563057400
9127542205363
1041302122240
1116574a75825
128007bb7140
133b82a814b2
141ddb4c1b68
15111ae95cb0
hex99dcc5f00

41302122240 has 144 divisors (see below), whose sum is σ = 131994390528. Its totient is φ = 11006742528.

The previous prime is 41302122229. The next prime is 41302122241. The reversal of 41302122240 is 4222120314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41302122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8779729 + ... + 8784431.

It is an arithmetic number, because the mean of its divisors is an integer number (916627712).

Almost surely, 241302122240 is an apocalyptic number.

41302122240 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 41302122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65997195264).

41302122240 is an abundant number, since it is smaller than the sum of its proper divisors (90692268288).

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

41302122240 is a wasteful number, since it uses less digits than its factorization.

41302122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41302122240 its reverse (4222120314), we get a palindrome (45524242554).

The spelling of 41302122240 in words is "forty-one billion, three hundred two million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2287 3840 4574 4703 6861 9148 9406 11435 13722 14109 18296 18812 22870 23515 27444 28218 34305 36592 37624 45740 47030 54888 56436 68610 70545 73184 75248 91480 94060 109776 112872 137220 141090 146368 150496 182960 188120 219552 225744 274440 282180 292736 300992 365920 376240 439104 451488 548880 564360 585472 601984 731840 752480 878208 902976 1097760 1128720 1203968 1463680 1504960 1756416 1805952 2195520 2257440 2927360 3009920 3611904 4391040 4514880 6019840 8782080 9029760 10755761 18059520 21511522 32267283 43023044 53778805 64534566 86046088 107557610 129069132 161336415 172092176 215115220 258138264 322672830 344184352 430230440 516276528 645345660 688368704 860460880 1032553056 1290691320 1376737408 1720921760 2065106112 2581382640 2753474816 3441843520 4130212224 5162765280 6883687040 8260424448 10325530560 13767374080 20651061120 41302122240