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21211425231444 = 22327233798909897
BaseRepresentation
bin1001101001010101010110…
…11101110101001001010100
32210002210101200202111202100
410310222223131311021110
510240011444324401234
6113040221053042100
74316321614420410
oct464525335651124
983083350674670
1021211425231444
116838795620668
122466abb486330
13bab2c8930006
145348d1d07d40
1526bb57b0a399
hex134aab775254

21211425231444 has 144 divisors (see below), whose sum is σ = 65669842038528. Its totient is φ = 5640237909504.

The previous prime is 21211425231443. The next prime is 21211425231551. The reversal of 21211425231444 is 44413252411212.

21211425231444 is a `hidden beast` number, since 2 + 1 + 2 + 114 + 2 + 523 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21211425231399 and 21211425231408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211425231443) 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 47 ways as a sum of consecutive naturals, for example, 49240497 + ... + 49669400.

It is an arithmetic number, because the mean of its divisors is an integer number (456040569712).

Almost surely, 221211425231444 is an apocalyptic number.

It is an amenable number.

21211425231444 is an abundant number, since it is smaller than the sum of its proper divisors (44458416807084).

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

21211425231444 is a wasteful number, since it uses less digits than its factorization.

21211425231444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98909974 (or 98909969 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 21211425231444 its reverse (44413252411212), we get a palindrome (65624677642656).

The spelling of 21211425231444 in words is "twenty-one trillion, two hundred eleven billion, four hundred twenty-five million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 37 42 46 63 69 74 84 92 111 126 138 148 161 207 222 252 259 276 322 333 414 444 483 518 644 666 777 828 851 966 1036 1332 1449 1554 1702 1932 2331 2553 2898 3108 3404 4662 5106 5796 5957 7659 9324 10212 11914 15318 17871 23828 30636 35742 53613 71484 107226 214452 98909897 197819794 296729691 395639588 593459382 692369279 890189073 1186918764 1384738558 1780378146 2077107837 2274927631 2769477116 3560756292 3659666189 4154215674 4549855262 6231323511 6824782893 7319332378 8308431348 9099710524 10978998567 12462647022 13649565786 14638664756 15924493417 20474348679 21957997134 24925294044 25617663323 27299131572 31848986834 32936995701 40948697358 43915994268 47773480251 51235326646 63697973668 65873991402 76852989969 81897394716 84172322347 95546960502 102470653292 131747982804 143320440753 153705979938 168344644694 191093921004 230558969907 252516967041 286640881506 307411959876 336689289388 461117939814 505033934082 573281763012 589206256429 757550901123 922235879628 1010067868164 1178412512858 1515101802246 1767618769287 2356825025716 3030203604492 3535237538574 5302856307861 7070475077148 10605712615722 21211425231444