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10424003420424 = 23311415231841387
BaseRepresentation
bin1001011110110000011100…
…0001010110000100001000
31100220112011201110201110110
42113230013001112010020
52331241324333423144
634100415425514320
72124052344063006
oct227540701260410
940815151421413
1010424003420424
1133598821a5460
1212042a97a29a0
135a7c966bc9c9
1428074b17ba76
15131243ca60b9
hex97b07056108

10424003420424 has 128 divisors (see below), whose sum is σ = 29178192314880. Its totient is φ = 3075851174400.

The previous prime is 10424003420371. The next prime is 10424003420459. The reversal of 10424003420424 is 42402430042401.

It is a super-2 number, since 2×104240034204242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10424003420391 and 10424003420400.

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 31 ways as a sum of consecutive naturals, for example, 4740259 + ... + 6581645.

It is an arithmetic number, because the mean of its divisors is an integer number (227954627460).

Almost surely, 210424003420424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424003420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589096157440).

10424003420424 is an abundant number, since it is smaller than the sum of its proper divisors (18754188894456).

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

10424003420424 is a wasteful number, since it uses less digits than its factorization.

10424003420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841971 (or 1841967 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 10424003420424 its reverse (42402430042401), we get a palindrome (52826433462825).

The spelling of 10424003420424 in words is "ten trillion, four hundred twenty-four billion, three million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 523 902 984 1046 1353 1569 1804 2092 2706 3138 3608 4184 5412 5753 6276 10824 11506 12552 17259 21443 23012 34518 42886 46024 64329 69036 85772 128658 138072 171544 235873 257316 471746 514632 707619 943492 1415238 1841387 1886984 2830476 3682774 5524161 5660952 7365548 11048322 14731096 20255257 22096644 40510514 44193288 60765771 75496867 81021028 121531542 150993734 162042056 226490601 243063084 301987468 452981202 486126168 603974936 830465537 905962404 963045401 1660931074 1811924808 1926090802 2491396611 2889136203 3321862148 3852181604 4982793222 5778272406 6643724296 7704363208 9965586444 10593499411 11556544812 19931172888 21186998822 23113089624 31780498233 39484861441 42373997644 63560996466 78969722882 84747995288 118454584323 127121992932 157939445764 236909168646 254243985864 315878891528 434333475851 473818337292 868666951702 947636674584 1303000427553 1737333903404 2606000855106 3474667806808 5212001710212 10424003420424