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42221114880 = 29357785363
BaseRepresentation
bin100111010100100100…
…110001011000000000
311000222110110212022120
4213110210301120000
51142432101134010
631221321004240
73023164361250
oct472444613000
9130873425276
1042221114880
11169a679a57a
128223923680
133c9b297919
142087583960
1511719c4e70
hex9d4931600

42221114880 has 160 divisors (see below), whose sum is σ = 154258055424. Its totient is φ = 9650528256.

The previous prime is 42221114869. The next prime is 42221114909. The reversal of 42221114880 is 8841112224.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×422211148803 (a number of 33 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338922 + ... + 446441.

Almost surely, 242221114880 is an apocalyptic number.

42221114880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42221114880 is an abundant number, since it is smaller than the sum of its proper divisors (112036940544).

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

42221114880 is an equidigital number, since it uses as much as digits as its factorization.

42221114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785396 (or 785380 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 42221114880 in words is "forty-two billion, two hundred twenty-one million, one hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 785363 1570726 2356089 3141452 3926815 4712178 5497541 6282904 7853630 9424356 10995082 11780445 12565808 15707260 16492623 18848712 21990164 23560890 25131616 27487705 31414520 32985246 37697424 43980328 47121780 50263232 54975410 62829040 65970492 75394848 82463115 87960656 94243560 100526464 109950820 125658080 131940984 150789696 164926230 175921312 188487120 201052928 219901640 251316160 263881968 301579392 329852460 351842624 376974240 402105856 439803280 502632320 527763936 603158784 659704920 703685248 753948480 879606560 1005264640 1055527872 1206317568 1319409840 1407370496 1507896960 1759213120 2010529280 2111055744 2638819680 2814740992 3015793920 3518426240 4222111488 5277639360 6031587840 7036852480 8444222976 10555278720 14073704960 21110557440 42221114880