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21214036421240 = 23513293295747087
BaseRepresentation
bin1001101001011010001110…
…00110101110101001111000
32210010001010200011200202112
410310231013012232221320
510240032321310434430
6113041332131551452
74316443412234555
oct464550706565170
983101120150675
1021214036421240
116839905569163
122467509a5b588
13bab6238c0230
14534a9ca1da2c
1526bc5be9b195
hex134b471aea78

21214036421240 has 128 divisors (see below), whose sum is σ = 51597218453760. Its totient is φ = 7803336013824.

The previous prime is 21214036421203. The next prime is 21214036421317. The reversal of 21214036421240 is 4212463041212.

It is a junction number, because it is equal to n+sod(n) for n = 21214036421197 and 21214036421206.

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 31 ways as a sum of consecutive naturals, for example, 450504977 + ... + 450552063.

It is an arithmetic number, because the mean of its divisors is an integer number (403103269170).

Almost surely, 221214036421240 is an apocalyptic number.

21214036421240 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 21214036421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25798609226880).

21214036421240 is an abundant number, since it is smaller than the sum of its proper divisors (30383182032520).

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

21214036421240 is a wasteful number, since it uses less digits than its factorization.

21214036421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50361 (or 50357 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 21214036421240 its reverse (4212463041212), we get a palindrome (25426499462452).

The spelling of 21214036421240 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 520 586 1172 1465 2344 2930 2957 3809 5860 5914 7618 11720 11828 14785 15236 19045 23656 29570 30472 38090 38441 47087 59140 76180 76882 94174 118280 152360 153764 188348 192205 235435 307528 376696 384410 470870 612131 768820 866401 941740 1224262 1537640 1732802 1883480 2448524 3060655 3465604 4332005 4897048 6121310 6931208 8664010 11263213 12242620 13796491 17328020 22526426 24485240 27592982 34656040 45052852 55185964 56316065 68982455 90105704 110371928 112632130 137964910 139236259 179354383 225264260 275929820 278472518 358708766 450528520 551859640 556945036 696181295 717417532 896771915 1113890072 1392362590 1434835064 1793543830 1810071367 2784725180 3587087660 3620142734 5569450360 7174175320 7240285468 9050356835 14480570936 18100713670 36201427340 40796223887 72402854680 81592447774 163184895548 203981119435 326369791096 407962238870 530350910531 815924477740 1060701821062 1631848955480 2121403642124 2651754552655 4242807284248 5303509105310 10607018210620 21214036421240