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2424424001424 = 2434783121710639
BaseRepresentation
bin100011010001111010111…
…011100110111110010000
322120202212021111001021020
4203101322323212332100
5304210210021021144
65053433124155440
7340105325664225
oct43217273467620
98522767431236
102424424001424
11855213164a27
12331a52838b80
13147811c94b59
14854b26dd94c
15430e8c1c419
hex2347aee6f90

2424424001424 has 160 divisors (see below), whose sum is σ = 6479345295360. Its totient is φ = 780701884416.

The previous prime is 2424424001423. The next prime is 2424424001453. The reversal of 2424424001424 is 4241004244242.

It is not an unprimeable number, because it can be changed into a prime (2424424001423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 227875497 + ... + 227886135.

It is an arithmetic number, because the mean of its divisors is an integer number (40495908096).

Almost surely, 22424424001424 is an apocalyptic number.

2424424001424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424424001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239672647680).

2424424001424 is an abundant number, since it is smaller than the sum of its proper divisors (4054921293936).

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

2424424001424 is a wasteful number, since it uses less digits than its factorization.

2424424001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 2424424001424 its reverse (4241004244242), we get a palindrome (6665428245666).

The spelling of 2424424001424 in words is "two trillion, four hundred twenty-four billion, four hundred twenty-four million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 376 498 564 664 752 996 1128 1217 1328 1992 2256 2434 3651 3901 3984 4868 7302 7802 9736 10639 11703 14604 15604 19472 21278 23406 29208 31208 31917 42556 46812 57199 58416 62416 63834 85112 93624 101011 114398 127668 170224 171597 187248 202022 228796 255336 303033 343194 404044 457592 500033 510672 606066 686388 808088 883037 915184 1000066 1212132 1372776 1500099 1616176 1766074 2000132 2424264 2649111 2745552 3000198 3532148 4000264 4747517 4848528 5298222 6000396 7064296 8000528 9495034 10596444 12000792 12947663 14128592 14242551 18990068 21192888 24001584 25895326 28485102 37980136 38842989 41502739 42385776 51790652 56970204 75960272 77685978 83005478 103581304 113940408 124508217 155371956 166010956 207162608 227880816 249016434 310743912 332021912 498032868 608540161 621487824 664043824 996065736 1074656029 1217080322 1825620483 1992131472 2149312058 2434160644 3223968087 3651240966 4298624116 4868321288 6447936174 7302481932 8597248232 9736642576 12895872348 14604963864 17194496464 25791744696 29209927728 50508833363 51583489392 101017666726 151526500089 202035333452 303053000178 404070666904 606106000356 808141333808 1212212000712 2424424001424