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21442011024412 = 22115933529246343
BaseRepresentation
bin1001110000000010110110…
…11100110100110000011100
32210220211120121121110111201
410320001123130310300130
510302301214310240122
6113334153542525244
74342064010341446
oct470013334646034
983824517543451
1021442011024412
11691756225a810
1224a3732136824
13bc6c857a7424
14541b2815d496
15272b5131ba27
hex13805b734c1c

21442011024412 has 48 divisors (see below), whose sum is σ = 41629968172800. Its totient is φ = 9580851308160.

The previous prime is 21442011024407. The next prime is 21442011024433.

21442011024412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86918113 + ... + 87164455.

It is an arithmetic number, because the mean of its divisors is an integer number (867291003600).

Almost surely, 221442011024412 is an apocalyptic number.

21442011024412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442011024412 is a deficient number, since it is larger than the sum of its proper divisors (20187957148388).

21442011024412 is a wasteful number, since it uses less digits than its factorization.

21442011024412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279946 (or 279944 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2144201 and 1024412, that added together give a palindrome (3168613).

The spelling of 21442011024412 in words is "twenty-one trillion, four hundred forty-two billion, eleven million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 59 118 236 649 1298 2596 33529 67058 134116 246343 368819 492686 737638 985372 1475276 1978211 2709773 3956422 5419546 7912844 10839092 14534237 21760321 29068474 43520642 58136948 87041284 159876607 319753214 639506428 8259634447 16519268894 33038537788 90855978917 181711957834 363423915668 487318432373 974636864746 1949273729492 5360502756103 10721005512206 21442011024412