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21342411424352 = 2519653376114293
BaseRepresentation
bin1001101101001001010101…
…10110100000001001100000
32210120022111100101112201102
410312210222312200021200
510244133224311034402
6113220322441453532
74331636564611634
oct466445266401140
983508440345642
1021342411424352
1168892a1943057
1224883764a12a8
13bba771c19335
1453ad9a368dc4
15270272324102
hex13692ada0260

21342411424352 has 96 divisors (see below), whose sum is σ = 44311950033120. Its totient is φ = 10090691665920.

The previous prime is 21342411424351. The next prime is 21342411424417. The reversal of 21342411424352 is 25342411424312.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342411424351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493200118 + ... + 1493214410.

It is an arithmetic number, because the mean of its divisors is an integer number (461582812845).

Almost surely, 221342411424352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342411424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155975016560).

21342411424352 is an abundant number, since it is smaller than the sum of its proper divisors (22969538608768).

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

21342411424352 is a wasteful number, since it uses less digits than its factorization.

21342411424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18728 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

Adding to 21342411424352 its reverse (25342411424312), we get a palindrome (46684822848664).

The spelling of 21342411424352 in words is "twenty-one trillion, three hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 653 1306 2612 3761 5224 7522 10448 12407 14293 15044 20896 24814 28586 30088 49628 57172 60176 71459 99256 114344 120352 142918 198512 228688 271567 285836 397024 457376 543134 571672 1086268 1143344 2172536 2286688 2455933 4345072 4911866 8690144 9333329 9823732 18666658 19647464 37333316 39294928 46662727 53755973 74666632 78589856 93325454 107511946 149333264 177333251 186650908 215023892 298666528 354666502 373301816 430047784 709333004 746603632 860095568 1021363487 1418666008 1493207264 1720191136 2042726974 2837332016 4085453948 5674664032 8170907896 16341815792 32683631584 35102650369 70205300738 140410601476 280821202952 561642405904 666950357011 1123284811808 1333900714022 2667801428044 5335602856088 10671205712176 21342411424352