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41828310480 = 243511131120947
BaseRepresentation
bin100110111101001010…
…010101110111010000
310222222002100022222110
4212331022111313100
51141131021413410
631114325505320
73010354526025
oct467512256720
9128862308873
1041828310480
1116814a99840
128134272240
133c37aa5598
14204b33354c
15114c283720
hex9bd295dd0

41828310480 has 160 divisors (see below), whose sum is σ = 142536734208. Its totient is φ = 10062707200.

The previous prime is 41828310479. The next prime is 41828310539. The reversal of 41828310480 is 8401382814.

It is a happy number.

It is a super-2 number, since 2×418283104802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 285367 + ... + 406313.

Almost surely, 241828310480 is an apocalyptic number.

41828310480 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 41828310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71268367104).

41828310480 is an abundant number, since it is smaller than the sum of its proper divisors (100708423728).

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

41828310480 is a wasteful number, since it uses less digits than its factorization.

41828310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121105 (or 121099 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 41828310480 in words is "forty-one billion, eight hundred twenty-eight million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 3144 3930 4323 5240 5764 6288 7205 7860 8646 10480 11528 14410 15720 17292 21615 23056 28820 31440 34584 43230 57640 69168 86460 115280 120947 172920 241894 345840 362841 483788 604735 725682 967576 1209470 1330417 1451364 1814205 1935152 2418940 2660834 2902728 3628410 3991251 4837880 5321668 5805456 6652085 7256820 7982502 9675760 10643336 13304170 14513640 15844057 15965004 19956255 21286672 26608340 29027280 31688114 31930008 39912510 47532171 53216680 63376228 63860016 79220285 79825020 95064342 106433360 126752456 158440570 159650040 174284627 190128684 237660855 253504912 316881140 319300080 348569254 380257368 475321710 522853881 633762280 697138508 760514736 871423135 950643420 1045707762 1267524560 1394277016 1742846270 1901286840 2091415524 2614269405 2788554032 3485692540 3802573680 4182831048 5228538810 6971385080 8365662096 10457077620 13942770160 20914155240 41828310480