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21141040223412 = 22331926117351383
BaseRepresentation
bin1001100111010010010000…
…01100010101010010110100
32202212001201102221122011000
410303221020030111102310
510232333322244122122
6112544020530043300
74311250453626354
oct463511014252264
982761642848130
1021141040223412
11681095707333a
122455337719530
13ba478c7c2b75
14531336110b64
15269dd87e80ac
hex133a483154b4

21141040223412 has 288 divisors, whose sum is σ = 59135987554560. Its totient is φ = 6528588698880.

The previous prime is 21141040223311. The next prime is 21141040223449. The reversal of 21141040223412 is 21432204014112.

21141040223412 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 10 + 402 + 234 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411414673 + ... + 411466055.

It is an arithmetic number, because the mean of its divisors is an integer number (205333290120).

Almost surely, 221141040223412 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 21141040223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29567993777280).

21141040223412 is an abundant number, since it is smaller than the sum of its proper divisors (37994947331148).

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

21141040223412 is a wasteful number, since it uses less digits than its factorization.

21141040223412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51668 (or 51641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21141040223412 its reverse (21432204014112), we get a palindrome (42573244237524).

The spelling of 21141040223412 in words is "twenty-one trillion, one hundred forty-one billion, forty million, two hundred twenty-three thousand, four hundred twelve".