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24404231420 = 22523677310847
BaseRepresentation
bin10110101110100110…
…110000010011111100
32022222202212101221222
4112232212300103330
5344434440401140
615113335212512
71522521354512
oct265646602374
968882771858
1024404231420
11a3936092a8
124890b17138
1323bbc8c92a
1412771c24b2
1597c73d5b5
hex5ae9b04fc

24404231420 has 96 divisors (see below), whose sum is σ = 55023833088. Its totient is φ = 9071073792.

The previous prime is 24404231417. The next prime is 24404231431. The reversal of 24404231420 is 2413240442.

It is a happy number.

It is a super-2 number, since 2×244042314202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24404231420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244437 + ... + 2255283.

It is an arithmetic number, because the mean of its divisors is an integer number (573164928).

Almost surely, 224404231420 is an apocalyptic number.

24404231420 is a gapful number since it is divisible by the number (20) 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 24404231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27511916544).

24404231420 is an abundant number, since it is smaller than the sum of its proper divisors (30619601668).

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

24404231420 is a wasteful number, since it uses less digits than its factorization.

24404231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 24404231420 its reverse (2413240442), we get a palindrome (26817471862).

The spelling of 24404231420 in words is "twenty-four billion, four hundred four million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 67 73 92 115 134 146 230 268 292 335 365 460 670 730 1340 1460 1541 1679 3082 3358 4891 6164 6716 7705 8395 9782 10847 15410 16790 19564 21694 24455 30820 33580 43388 48910 54235 97820 108470 112493 216940 224986 249481 449972 498962 562465 726749 791831 997924 1124930 1247405 1453498 1583662 2249860 2494810 2906996 3167324 3633745 3959155 4989620 7267490 7918310 14534980 15836620 16715227 18212113 33430454 36424226 53052677 66860908 72848452 83576135 91060565 106105354 167152270 182121130 212210708 265263385 334304540 364242260 530526770 1061053540 1220211571 2440423142 4880846284 6101057855 12202115710 24404231420