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41334424430040 = 2333575467516459
BaseRepresentation
bin10010110010111111010111…
…01011110110010111011000
312102100112101002220200221000
421121133223223312113120
520404210400123230130
6223524434502545000
711464212366412050
oct1131375353662730
9172315332820830
1041334424430040
1112196916006045
124776a7b138160
131a0aa86591921
14a2c84d946560
154ba30adcd260
hex2597ebaf65d8

41334424430040 has 128 divisors (see below), whose sum is σ = 157464474048000. Its totient is φ = 9447868439424.

The previous prime is 41334424429997. The next prime is 41334424430081. The reversal of 41334424430040 is 4003442443314.

41334424430040 is a `hidden beast` number, since 4 + 1 + 3 + 344 + 2 + 4 + 4 + 300 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41334424429977 and 41334424430004.

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, 2733750670 + ... + 2733765789.

It is an arithmetic number, because the mean of its divisors is an integer number (1230191203500).

Almost surely, 241334424430040 is an apocalyptic number.

41334424430040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41334424430040 is an abundant number, since it is smaller than the sum of its proper divisors (116130049617960).

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

41334424430040 is a wasteful number, since it uses less digits than its factorization.

41334424430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467516486 (or 5467516476 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 41334424430040 its reverse (4003442443314), we get a palindrome (45337866873354).

The spelling of 41334424430040 in words is "forty-one trillion, three hundred thirty-four billion, four hundred twenty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 5467516459 10935032918 16402549377 21870065836 27337582295 32805098754 38272615213 43740131672 49207648131 54675164590 65610197508 76545230426 82012746885 98415296262 109350329180 114817845639 131220395016 147622944393 153090460852 164025493770 191363076065 196830592524 218700658360 229635691278 246038240655 295245888786 306180921704 328050987540 344453536917 382726152130 393661185048 459271382556 492076481310 574089228195 590491777572 656101975080 688907073834 738114721965 765452304260 918542765112 984152962620 1033360610751 1148178456390 1180983555144 1377814147668 1476229443930 1530904608520 1722267684585 1968305925240 2066721221502 2296356912780 2755628295336 2952458887860 3444535369170 4133442443004 4592713825560 5166803053755 5904917775720 6889070738340 8266884886008 10333606107510 13778141476680 20667212215020 41334424430040