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21433413124344 = 23313432270970351
BaseRepresentation
bin1001101111110010110101…
…11110011100000011111000
32210220000101102010212220110
410313321122332130003320
510302131112224434334
6113330212444024320
74341340646366424
oct467713276340370
983800342125813
1021433413124344
11691394aa39181
1224a1b328320a0
13bc62154224b0
145415502d7b84
152727eb5baae9
hex137e5af9c0f8

21433413124344 has 128 divisors (see below), whose sum is σ = 59050767283200. Its totient is φ = 6441151449600.

The previous prime is 21433413124339. The next prime is 21433413124349. The reversal of 21433413124344 is 44342131433412.

It is an interprime number because it is at equal distance from previous prime (21433413124339) and next prime (21433413124349).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433413124349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304628769 + ... + 304699119.

It is an arithmetic number, because the mean of its divisors is an integer number (461334119400).

Almost surely, 221433413124344 is an apocalyptic number.

21433413124344 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 21433413124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29525383641600).

21433413124344 is an abundant number, since it is smaller than the sum of its proper divisors (37617354158856).

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

21433413124344 is a wasteful number, since it uses less digits than its factorization.

21433413124344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93125 (or 93121 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 21433413124344 its reverse (44342131433412), we get a palindrome (65775544557756).

The spelling of 21433413124344 in words is "twenty-one trillion, four hundred thirty-three billion, four hundred thirteen million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 22709 45418 68127 70351 90836 136254 140702 181672 211053 272508 281404 295217 422106 545016 562808 590434 844212 885651 914563 976487 1180868 1688424 1771302 1829126 1952974 2361736 2743689 2929461 3025093 3542604 3658252 3905948 5487378 5858922 6050186 7085208 7316504 7811896 9075279 10974756 11717844 12100372 12694331 18150558 21949512 23435688 24200744 25388662 36301116 38082993 39326209 50777324 72602232 76165986 78652418 101554648 117978627 152331972 157304836 235957254 304663944 314609672 471914508 943829016 1597600859 3195201718 4792802577 6390403436 9585605154 12780806872 19171210308 20768811167 38342420616 41537622334 62306433501 68696836937 83075244668 124612867002 137393673874 166150489336 206090510811 249225734004 274787347748 412181021622 498451468008 549574695496 824362043244 893058880181 1648724086488 1786117760362 2679176640543 3572235520724 5358353281086 7144471041448 10716706562172 21433413124344