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21040114400244 = 2232584447622229
BaseRepresentation
bin1001100100010110010001…
…00010110111101111110100
32202111102012202012121021100
410302023020202313233310
510224210123241301434
6112425410051250100
74301045435401062
oct462131042675764
982442182177240
1021040114400244
116782076078625
12243986b8a9930
13b980c7247c84
1452a4c0131032
1526747d180699
hex1322c88b7bf4

21040114400244 has 18 divisors (see below), whose sum is σ = 53184733622930. Its totient is φ = 7013371466736.

The previous prime is 21040114400203. The next prime is 21040114400269. The reversal of 21040114400244 is 44200441104012.

It is a happy number.

21040114400244 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 0 + 1 + 14 + 400 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20650753376100 + 389361024144 = 4544310^2 + 623988^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×210401144002444 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 292223811079 + ... + 292223811150.

Almost surely, 221040114400244 is an apocalyptic number.

It is an amenable number.

21040114400244 is an abundant number, since it is smaller than the sum of its proper divisors (32144619222686).

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

21040114400244 is a wasteful number, since it uses less digits than its factorization.

21040114400244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584447622239 (or 584447622234 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 21040114400244 its reverse (44200441104012), we get a palindrome (65240555504256).

The spelling of 21040114400244 in words is "twenty-one trillion, forty billion, one hundred fourteen million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 584447622229 1168895244458 1753342866687 2337790488916 3506685733374 5260028600061 7013371466748 10520057200122 21040114400244