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21130051440 = 2435347349727
BaseRepresentation
bin10011101011011100…
…101111111101110000
32000112120220211101210
4103223130233331300
5321233243121230
613412414200120
71345423321341
oct235334577560
960476824353
1021130051440
118a633aa433
1241184b3040
131cb984ab24
1410464080c8
1583a08aeb0
hex4eb72ff70

21130051440 has 160 divisors (see below), whose sum is σ = 65970777600. Its totient is φ = 5594637312.

The previous prime is 21130051421. The next prime is 21130051471. The reversal of 21130051440 is 4415003112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29064357 + ... + 29065083.

It is an arithmetic number, because the mean of its divisors is an integer number (412317360).

Almost surely, 221130051440 is an apocalyptic number.

21130051440 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 21130051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32985388800).

21130051440 is an abundant number, since it is smaller than the sum of its proper divisors (44840726160).

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

21130051440 is a wasteful number, since it uses less digits than its factorization.

21130051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21130051440 its reverse (4415003112), we get a palindrome (25545054552).

The spelling of 21130051440 in words is "twenty-one billion, one hundred thirty million, fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 349 694 698 727 1041 1047 1388 1396 1454 1735 1745 2082 2094 2181 2776 2792 2908 3470 3490 3635 4164 4188 4362 5205 5235 5552 5584 5816 6940 6980 7270 8328 8376 8724 10410 10470 10905 11632 13880 13960 14540 16656 16752 17448 20820 20940 21810 27760 27920 29080 34896 41640 41880 43620 58160 83280 83760 87240 121103 174480 242206 252269 253723 363309 484412 504538 507446 605515 726618 756807 761169 968824 1009076 1014892 1211030 1261345 1268615 1453236 1513614 1522338 1816545 1937648 2018152 2029784 2422060 2522690 2537230 2906472 3027228 3044676 3633090 3784035 3805845 4036304 4059568 4844120 5045380 5074460 5812944 6054456 6089352 7266180 7568070 7611690 9688240 10090760 10148920 12108912 12178704 14532360 15136140 15223380 20181520 20297840 29064720 30272280 30446760 60544560 60893520 88041881 176083762 264125643 352167524 440209405 528251286 704335048 880418810 1056502572 1320628215 1408670096 1760837620 2113005144 2641256430 3521675240 4226010288 5282512860 7043350480 10565025720 21130051440