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421132200444 = 223241521547639
BaseRepresentation
bin1100010000011010110…
…11110110100111111100
31111021000102112101021100
412020031123312213330
523344434320403234
6521244312333100
742266022432564
oct6101533664774
91437012471240
10421132200444
1115266816a36a
12697503a4190
133093575c367
14165509a9da4
15ae4bc5b399
hex620d6f69fc

421132200444 has 72 divisors (see below), whose sum is σ = 1092587801760. Its totient is φ = 136690444800.

The previous prime is 421132200397. The next prime is 421132200449. The reversal of 421132200444 is 444002231124.

421132200444 is a `hidden beast` number, since 4 + 2 + 1 + 13 + 2 + 200 + 444 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421132200449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495177 + ... + 1042815.

It is an arithmetic number, because the mean of its divisors is an integer number (15174830580).

Almost surely, 2421132200444 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 421132200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546293900880).

421132200444 is an abundant number, since it is smaller than the sum of its proper divisors (671455601316).

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

421132200444 is a wasteful number, since it uses less digits than its factorization.

421132200444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548211 (or 548206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 421132200444 its reverse (444002231124), we get a palindrome (865134431568).

The spelling of 421132200444 in words is "four hundred twenty-one billion, one hundred thirty-two million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 521 738 1042 1476 1563 2084 3126 4689 6252 9378 18756 21361 42722 64083 85444 128166 192249 256332 384498 547639 768996 1095278 1642917 2190556 3285834 4928751 6571668 9857502 19715004 22453199 44906398 67359597 89812796 134719194 202078791 269438388 285319919 404157582 570639838 808315164 855959757 1141279676 1711919514 2567879271 3423839028 5135758542 10271517084 11698116679 23396233358 35094350037 46792466716 70188700074 105283050111 140377400148 210566100222 421132200444