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42841443680 = 255758396551
BaseRepresentation
bin100111111001100011…
…001000110101100000
311002120200201211110022
4213321203020311200
51200214402144210
631403040453012
73044436156110
oct477143106540
9132520654408
1042841443680
1117194972802
12837761a168
134069960499
142105add040
1511ab1ab155
hex9f98c8d60

42841443680 has 96 divisors (see below), whose sum is σ = 115709368320. Its totient is φ = 14683737600.

The previous prime is 42841443677. The next prime is 42841443683. The reversal of 42841443680 is 8634414824.

It is an interprime number because it is at equal distance from previous prime (42841443677) and next prime (42841443683).

It is a super-2 number, since 2×428414436802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42841443683) 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, 6536405 + ... + 6542955.

It is an arithmetic number, because the mean of its divisors is an integer number (1205305920).

Almost surely, 242841443680 is an apocalyptic number.

42841443680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42841443680 is an abundant number, since it is smaller than the sum of its proper divisors (72867924640).

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

42841443680 is a wasteful number, since it uses less digits than its factorization.

42841443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

It can be divided in two parts, 4284144 and 3680, that added together give a palindrome (4287824).

The spelling of 42841443680 in words is "forty-two billion, eight hundred forty-one million, four hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 5839 6551 11678 13102 23356 26204 29195 32755 40873 45857 46712 52408 58390 65510 81746 91714 93424 104816 116780 131020 163492 183428 186848 204365 209632 229285 233560 262040 326984 366856 408730 458570 467120 524080 653968 733712 817460 917140 934240 1048160 1307936 1467424 1634920 1834280 3269840 3668560 6539680 7337120 38251289 76502578 153005156 191256445 267759023 306010312 382512890 535518046 612020624 765025780 1071036092 1224041248 1338795115 1530051560 2142072184 2677590230 3060103120 4284144368 5355180460 6120206240 8568288736 10710360920 21420721840 42841443680