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21341444124441 = 3723111405133223
BaseRepresentation
bin1001101101000111100010…
…01100100010111100011001
32210120012222221020121200210
410312203301030202330121
510244124234143440231
6113220042445121333
74331603610653400
oct466436114427431
983505887217623
1021341444124441
116888945924341
122488146559249
13bba6496bb11c
1453ad07ad0637
15270217451a46
hex1368f1322f19

21341444124441 has 48 divisors (see below), whose sum is σ = 33210812464128. Its totient is φ = 12154667364000.

The previous prime is 21341444124437. The next prime is 21341444124463. The reversal of 21341444124441 is 14442144414312.

It is a happy number.

It is not a de Polignac number, because 21341444124441 - 22 = 21341444124437 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21341444124441.

It is not an unprimeable number, because it can be changed into a prime (21341444124841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642352956 + ... + 642386178.

It is an arithmetic number, because the mean of its divisors is an integer number (691891926336).

Almost surely, 221341444124441 is an apocalyptic number.

21341444124441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21341444124441 is a deficient number, since it is larger than the sum of its proper divisors (11869368339687).

21341444124441 is a wasteful number, since it uses less digits than its factorization.

21341444124441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47602 (or 47595 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

Adding to 21341444124441 its reverse (14442144414312), we get a palindrome (35783588538753).

The spelling of 21341444124441 in words is "twenty-one trillion, three hundred forty-one billion, four hundred forty-four million, one hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 147 311 933 2177 6531 14051 15239 33223 42153 45717 98357 99669 232561 295071 688499 697683 1627927 2065497 4369861 4883781 10332353 13109583 30589027 30997059 72326471 91767081 214123189 216979413 466816373 506285297 642369567 1400449119 1518855891 3267714611 9803143833 22874002277 68622006831 145179892003 435539676009 1016259244021 3048777732063 7113814708147 21341444124441