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21430204344 = 2334377112589
BaseRepresentation
bin10011111101010101…
…101111011110111000
32001022111201011210000
4103331111233132320
5322342113014334
613502255353000
71356026505603
oct237525573670
961274634700
1021430204344
1190a787878a
1241a0b22760
132036aa03b3
14107421b33a
158565ca299
hex4fd56f7b8

21430204344 has 160 divisors (see below), whose sum is σ = 62519925600. Its totient is φ = 6851900160.

The previous prime is 21430204343. The next prime is 21430204349. The reversal of 21430204344 is 44340203412.

It is a happy number.

21430204344 is a `hidden beast` number, since 2 + 14 + 302 + 0 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21430204343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1696002 + ... + 1708590.

It is an arithmetic number, because the mean of its divisors is an integer number (390749535).

Almost surely, 221430204344 is an apocalyptic number.

21430204344 is a gapful number since it is divisible by the number (24) 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 21430204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31259962800).

21430204344 is an abundant number, since it is smaller than the sum of its proper divisors (41089721256).

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

21430204344 is a wasteful number, since it uses less digits than its factorization.

21430204344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21430204344 its reverse (44340203412), we get a palindrome (65770407756).

The spelling of 21430204344 in words is "twenty-one billion, four hundred thirty million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 71 72 74 81 108 111 142 148 162 213 216 222 284 296 324 333 426 444 568 639 648 666 852 888 999 1278 1332 1704 1917 1998 2556 2627 2664 2997 3834 3996 5112 5254 5751 5994 7668 7881 7992 10508 11502 11988 12589 15336 15762 21016 23004 23643 23976 25178 31524 37767 46008 47286 50356 63048 70929 75534 94572 100712 113301 141858 151068 189144 212787 226602 283716 302136 339903 425574 453204 465793 567432 679806 851148 893819 906408 931586 1019709 1359612 1397379 1702296 1787638 1863172 2039418 2681457 2719224 2794758 3575276 3726344 4078836 4192137 5362914 5589516 7150552 8044371 8157672 8384274 10725828 11179032 12576411 16088742 16768548 21451656 24133113 25152822 32177484 33071303 33537096 37729233 48266226 50305644 64354968 66142606 72399339 75458466 96532452 99213909 100611288 132285212 144798678 150916932 193064904 198427818 264570424 289597356 297641727 301833864 396855636 579194712 595283454 793711272 892925181 1190566908 1785850362 2381133816 2678775543 3571700724 5357551086 7143401448 10715102172 21430204344