Search a number
-
+
24213444431242 = 211329794019901
BaseRepresentation
bin1011000000101101000011…
…10000010000110110001010
310011201210010120111202121011
411200112201300100312022
511133203113233244432
6123255300335034134
75046235503533413
oct540264160206612
9104653116452534
1024213444431242
117795956158000
12287088966b94a
13106841989a3a1
145d9d1905680a
152beca9755847
hex1605a1c10d8a

24213444431242 has 128 divisors (see below), whose sum is σ = 41958750643200. Its totient is φ = 10464854400000.

The previous prime is 24213444431179. The next prime is 24213444431269.

24213444431242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24213444431195 and 24213444431204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2445550492 + ... + 2445560392.

It is an arithmetic number, because the mean of its divisors is an integer number (327802739400).

Almost surely, 224213444431242 is an apocalyptic number.

24213444431242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24213444431242 is a deficient number, since it is larger than the sum of its proper divisors (17745306211958).

24213444431242 is a wasteful number, since it uses less digits than its factorization.

24213444431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10423 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 2421344 and 4431242, that added together give a palindrome (6852586).

The spelling of 24213444431242 in words is "twenty-four trillion, two hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 11 22 29 58 79 121 158 242 319 401 638 802 869 1331 1738 2291 2662 3509 4411 4582 7018 8822 9559 9901 11629 19118 19802 23258 25201 31679 38599 48521 50402 63358 77198 97042 105149 108911 127919 210298 217822 255838 277211 287129 348469 533731 554422 574258 696938 782179 918691 1067462 1198021 1407109 1564358 1837382 2396042 2814218 3049321 3158419 3833159 3970301 6098642 6316838 7666318 7940602 8603969 10105601 13178231 15478199 17207938 20211202 22683191 26356462 30956398 34742609 42164749 43673311 45366382 69485218 84329498 87346622 94643659 111161611 115138729 189287318 222323222 230277458 249515101 313653779 382168699 480406421 499030202 627307558 764337398 960812842 1041080249 1222777721 1266526019 2082160498 2445555442 2533052038 2744666111 3450191569 5284470631 5489332222 6900383138 9095959591 10568941262 13931786209 18191919182 27863572418 30191327221 37952107259 60382654442 75904214518 100055555501 153249648299 200111111002 306499296598 417473179849 834946359698 1100611110511 2201222221022 12106722215621 24213444431242