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21364455304314 = 233484061817331
BaseRepresentation
bin1001101101110010011001…
…10001001110110001111010
32210122102101121211200012000
410312321030301032301322
510300013401024214224
6113234410102401430
74333350055525353
oct466711461166172
983572347750160
1021364455304314
11689768405a371
1224906a8a30276
13bbc875b92ba5
1453c08bc8cd2a
15270b1271e0c9
hex136e4cc4ec7a

21364455304314 has 32 divisors (see below), whose sum is σ = 47476723510080. Its totient is φ = 7121461676400.

The previous prime is 21364455304307. The next prime is 21364455304321. The reversal of 21364455304314 is 41340355446312.

21364455304314 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 44 + 553 + 0 + 43 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (21364455304307) and next prime (21364455304321).

It is a super-2 number, since 2×213644553043142 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21364455304314.

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, 25730629 + ... + 26547959.

It is an arithmetic number, because the mean of its divisors is an integer number (1483647609690).

Almost surely, 221364455304314 is an apocalyptic number.

21364455304314 is an abundant number, since it is smaller than the sum of its proper divisors (26112268205766).

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

21364455304314 is a wasteful number, since it uses less digits than its factorization.

21364455304314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301403 (or 1301397 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 21364455304314 in words is "twenty-one trillion, three hundred sixty-four billion, four hundred fifty-five million, three hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 484061 817331 968122 1452183 1634662 2451993 2904366 4356549 4903986 7355979 8713098 13069647 14711958 22067937 26139294 44135874 395638061191 791276122382 1186914183573 2373828367146 3560742550719 7121485101438 10682227652157 21364455304314