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21430441980 = 22325319833907
BaseRepresentation
bin10011111101010110…
…101001011111111100
32001022112011020202100
4103331112221133330
5322342143120410
613502304425100
71356031515453
oct237526513774
961275136670
1021430441980
1190a7a20282
1241a1018190
132036b545cc
14107427db9a
158566258c0
hex4fd5a97fc

21430441980 has 144 divisors (see below), whose sum is σ = 67188086784. Its totient is φ = 5523396480.

The previous prime is 21430441979. The next prime is 21430442009. The reversal of 21430441980 is 8914403412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5483187 + ... + 5487093.

It is an arithmetic number, because the mean of its divisors is an integer number (466583936).

Almost surely, 221430441980 is an apocalyptic number.

21430441980 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 21430441980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33594043392).

21430441980 is an abundant number, since it is smaller than the sum of its proper divisors (45757644804).

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

21430441980 is a wasteful number, since it uses less digits than its factorization.

21430441980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21430441980 in words is "twenty-one billion, four hundred thirty million, four hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 983 1116 1395 1860 1966 2790 2949 3907 3932 4915 5580 5898 7814 8847 9830 11721 11796 14745 15628 17694 19535 19660 23442 29490 30473 35163 35388 39070 44235 46884 58605 58980 60946 70326 78140 88470 91419 117210 121117 121892 140652 152365 175815 176940 182838 234420 242234 274257 304730 351630 363351 365676 457095 484468 548514 605585 609460 703260 726702 914190 1090053 1097028 1211170 1371285 1453404 1816755 1828380 2180106 2422340 2742570 3633510 3840581 4360212 5450265 5485140 7267020 7681162 10900530 11521743 15362324 19202905 21801060 23043486 34565229 38405810 46086972 57608715 69130458 76811620 115217430 119058011 138260916 172826145 230434860 238116022 345652290 357174033 476232044 595290055 691304580 714348066 1071522099 1190580110 1428696132 1785870165 2143044198 2381160220 3571740330 4286088396 5357610495 7143480660 10715220990 21430441980