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24002244220042 = 21117233190919901
BaseRepresentation
bin1010111010100011101010…
…01111011001010010001010
310010222120222200001101201201
411131101311033121102022
511121223044010020132
6123014251225334414
75025050662416424
oct535216517312212
9103876880041651
1024002244220042
117714327141410
12283796703740a
13105152c02440a
145cda01669814
152b9547d952e7
hex15d4753d948a

24002244220042 has 128 divisors (see below), whose sum is σ = 44804184293376. Its totient is φ = 9503049600000.

The previous prime is 24002244220033. The next prime is 24002244220081.

24002244220042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240022442200422 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2424219292 + ... + 2424229192.

It is an arithmetic number, because the mean of its divisors is an integer number (350032689792).

Almost surely, 224002244220042 is an apocalyptic number.

24002244220042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24002244220042 is a deficient number, since it is larger than the sum of its proper divisors (20801940073334).

24002244220042 is a wasteful number, since it uses less digits than its factorization.

24002244220042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19076.

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 2400224 and 4220042, that added together give a palindrome (6620266).

The spelling of 24002244220042 in words is "twenty-four trillion, two billion, two hundred forty-four million, two hundred twenty thousand, forty-two".

Divisors: 1 2 11 17 22 23 31 34 46 62 187 253 341 374 391 506 527 682 713 782 1054 1426 4301 5797 7843 8602 9091 9901 11594 12121 15686 18182 19802 24242 100001 108911 133331 154547 168317 200002 209093 217822 227723 266662 281821 306931 309094 336634 418186 455446 563642 613862 1700017 1851487 2300023 2504953 3100031 3376241 3400034 3554581 3702974 3871291 4600046 4790957 5009906 5217827 6200062 6481883 6752482 7059413 7109162 7742582 9581914 10435654 12963766 14118826 39100391 42584201 52700527 57396097 71300713 77653543 78200782 85168402 90009991 105401054 110192011 114792194 120010021 142601426 155307086 180019982 220384022 240020042 990109901 1212112121 1320110231 1530169847 1980219802 2070229793 2424224242 2640220462 2790309721 3060339694 4140459586 5580619442 16831868317 22772527723 30693406931 33663736634 35193906481 45545055446 47435265257 61386813862 64177123583 70387812962 94870530514 128354247166 387132971291 521787917827 705948359413 774265942582 1043575835654 1091011100911 1411896718826 2182022201822 12001122110021 24002244220042