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21214062430340 = 22513509289755333
BaseRepresentation
bin1001101001011010010001…
…01001111100100010000100
32210010001012111010002112112
410310231020221330202010
510240032344440232330
6113041334501240152
74316444146302053
oct464551051744204
983101174102475
1021214062430340
11683991921318a
122467516703058
13bab6290c8830
14534aa227039a
1526bc5e3d7795
hex134b48a7c884

21214062430340 has 96 divisors (see below), whose sum is σ = 48088136648160. Its totient is φ = 7814656106496.

The previous prime is 21214062430307. The next prime is 21214062430387. The reversal of 21214062430340 is 4303426041212.

It can be written as a sum of positive squares in 16 ways, for example, as 12777035952004 + 8437026478336 = 3574498^2 + 2904656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21214062430297 and 21214062430306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383361314 + ... + 383416646.

It is an arithmetic number, because the mean of its divisors is an integer number (500918090085).

Almost surely, 221214062430340 is an apocalyptic number.

21214062430340 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 21214062430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044068324080).

21214062430340 is an abundant number, since it is smaller than the sum of its proper divisors (26874074217820).

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

21214062430340 is a wasteful number, since it uses less digits than its factorization.

21214062430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58761 (or 58759 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 21214062430340 its reverse (4303426041212), we get a palindrome (25517488471552).

The spelling of 21214062430340 in words is "twenty-one trillion, two hundred fourteen billion, sixty-two million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 2897 5090 5794 6617 10180 11588 13234 14485 26468 28970 33085 37661 55333 57940 66170 75322 110666 132340 150644 188305 221332 276665 376610 553330 719329 753220 1106660 1438658 1474573 2877316 2949146 3596645 5898292 7193290 7372865 14386580 14745730 19169449 28164497 29491460 38338898 56328994 76677796 95847245 112657988 140822485 160299701 191694490 281644970 320599402 366138461 383388980 563289940 641198804 732276922 801498505 1464553844 1602997010 1830692305 2083896113 3205994020 3661384610 4167792226 7322769220 8335584452 10419480565 20838961130 41677922260 81592547809 163185095618 326370191236 407962739045 815925478090 1060703121517 1631850956180 2121406243034 4242812486068 5303515607585 10607031215170 21214062430340