Search a number
-
+
21409358056344 = 2334831478326927
BaseRepresentation
bin1001101111000110000010…
…01011101000101110011000
32210210201021222021211010000
410313203001023220232120
510301232331130300334
6113311153500253000
74336526564603016
oct467430113505630
983721258254100
1021409358056344
116904726533595
12249933a841160
13bc3b808b504b
1454030b6458b6
15271d8e84d299
hex1378c12e8b98

21409358056344 has 160 divisors (see below), whose sum is σ = 60694867537920. Its totient is φ = 7049732577984.

The previous prime is 21409358056309. The next prime is 21409358056399. The reversal of 21409358056344 is 44365085390412.

It is a happy number.

21409358056344 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 9 + 3 + 580 + 56 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×214093580563442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 795075409 + ... + 795102335.

It is an arithmetic number, because the mean of its divisors is an integer number (379342922112).

Almost surely, 221409358056344 is an apocalyptic number.

21409358056344 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 21409358056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30347433768960).

21409358056344 is an abundant number, since it is smaller than the sum of its proper divisors (39285509481576).

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

21409358056344 is a wasteful number, since it uses less digits than its factorization.

21409358056344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41811 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 21409358056344 in words is "twenty-one trillion, four hundred nine billion, three hundred fifty-eight million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2988 4482 5976 6723 8964 13446 14783 17928 26892 26927 29566 44349 53784 53854 59132 80781 88698 107708 118264 133047 161562 177396 215416 242343 266094 323124 354792 399141 484686 532188 646248 727029 798282 969372 1064376 1197423 1226989 1454058 1596564 1938744 2181087 2234941 2394846 2453978 2908116 3193128 3680967 4362174 4469882 4789692 4907956 5816232 6704823 7361934 8724348 8939764 9579384 9815912 11042901 13409646 14723868 17448696 17879528 20114469 22085802 26819292 29447736 33128703 40228938 44171604 53638584 60343407 66257406 80457876 88343208 99386109 120686814 132514812 160915752 181030221 198772218 241373628 265029624 362060442 397544436 398061841 482747256 724120884 795088872 796123682 1194185523 1448241768 1592247364 2388371046 3184494728 3582556569 4776742092 7165113138 9553484184 10747669707 14330226276 21495339414 28660452552 32243009121 33039132803 42990678828 64486018242 66078265606 85981357656 99117398409 128972036484 132156531212 198234796818 257944072968 264313062424 297352195227 396469593636 594704390454 792939187272 892056585681 1189408780908 1784113171362 2378817561816 2676169757043 3568226342724 5352339514086 7136452685448 10704679028172 21409358056344