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242214104440 = 235711194138997
BaseRepresentation
bin1110000110010100010…
…1011110110101111000
3212011012022120101022001
43201211011132311320
512432023302320230
6303134400510344
723333201626540
oct3414505366570
9764168511261
10242214104440
11937a4602720
123ab3901b3b4
1319ac1000bb9
14ba1a75c320
1564795120ca
hex386515ed78

242214104440 has 128 divisors (see below), whose sum is σ = 715218854400. Its totient is φ = 71521850880.

The previous prime is 242214104411. The next prime is 242214104501. The reversal of 242214104440 is 44401412242.

It is a happy number.

242214104440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242214104399 and 242214104408.

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, 2010979 + ... + 2128018.

It is an arithmetic number, because the mean of its divisors is an integer number (5587647300).

Almost surely, 2242214104440 is an apocalyptic number.

242214104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214104440 is an abundant number, since it is smaller than the sum of its proper divisors (473004749960).

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

242214104440 is a wasteful number, since it uses less digits than its factorization.

242214104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139045 (or 4139041 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 242214104440 its reverse (44401412242), we get a palindrome (286615516682).

The spelling of 242214104440 in words is "two hundred forty-two billion, two hundred fourteen million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 29260 58520 4138997 8277994 16555988 20694985 28972979 33111976 41389970 45528967 57945958 78640943 82779940 91057934 115891916 144864895 157281886 165559880 182115868 227644835 231783832 289729790 314563772 318702769 364231736 393204715 455289670 550486601 579459580 629127544 637405538 786409430 865050373 910579340 1100973202 1158919160 1274811076 1572818860 1593513845 1730100746 1821158680 2201946404 2549622152 2752433005 3145637720 3187027690 3460201492 4325251865 4403892808 5504866010 6055352611 6374055380 6920402984 8650503730 11009732020 12110705222 12748110760 17301007460 22019464040 24221410444 30276763055 34602014920 48442820888 60553526110 121107052220 242214104440