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420311000113024 = 27191014339394363
BaseRepresentation
bin101111110010001010100011…
…1110110110101111110000000
32001010012100011021022021211011
41133210111013312311332000
5420042333412012104044
64045532112520530304
7154350316256213146
oct13744250766657600
92033170137267734
10420311000113024
11111a18992095729
123b183107620994
131506b2075c72b7
1475b1237907596
15338d3c1236134
hex17e4547db5f80

420311000113024 has 128 divisors (see below), whose sum is σ = 890342983152000. Its totient is φ = 197077519411200.

The previous prime is 420311000113021. The next prime is 420311000113087.

420311000113024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4203110001130242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420311000112986 and 420311000113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420311000113021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065600067 + ... + 1065994429.

It is an arithmetic number, because the mean of its divisors is an integer number (6955804555875).

Almost surely, 2420311000113024 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 420311000113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445171491576000).

420311000113024 is an abundant number, since it is smaller than the sum of its proper divisors (470031983038976).

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

420311000113024 is a wasteful number, since it uses less digits than its factorization.

420311000113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398836 (or 398824 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 420311000 and 113024, that added together give a palindrome (420424024).

The spelling of 420311000113024 in words is "four hundred twenty trillion, three hundred eleven billion, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 304 404 608 808 1216 1616 1919 2432 3232 3838 4339 6464 7676 8678 12928 15352 17356 30704 34712 61408 69424 82441 122816 138848 164882 245632 277696 329764 394363 438239 555392 659528 788726 876478 1319056 1577452 1752956 2638112 3154904 3505912 5276224 6309808 7011824 7492897 8326541 10552448 12619616 14023648 14985794 16653082 25239232 28047296 29971588 33306164 39830663 50478464 56094592 59943176 66612328 79661326 119886352 133224656 159322652 239772704 266449312 318645304 479545408 532898624 637290608 756782597 959090816 1065797248 1274581216 1513565194 1711141057 2549162432 3027130388 3422282114 5098324864 6054260776 6844564228 12108521552 13689128456 24217043104 27378256912 32511680083 48434086208 54756513824 65023360166 96868172416 109513027648 130046720332 172825246757 219026055296 260093440664 345650493514 520186881328 691300987028 1040373762656 1382601974056 2080747525312 2765203948112 3283679688383 4161495050624 5530407896224 6567359376766 11060815792448 13134718753532 22121631584896 26269437507064 52538875014128 105077750028256 210155500056512 420311000113024