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4130221434420 = 22357919912313557
BaseRepresentation
bin111100000110100100011…
…000011010011000110100
3112121211211020021222110210
4330012210120122120310
51020132143141400140
612441221511145420
7604253510636634
oct74064430323064
915554736258423
104130221434420
111352687363754
1256856a975270
1323c62a820843
14103c91daa6c4
15726834add80
hex3c1a461a634

4130221434420 has 192 divisors, whose sum is σ = 11782729728000. Its totient is φ = 1080803243520.

The previous prime is 4130221434413. The next prime is 4130221434473. The reversal of 4130221434420 is 244341220314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161151282 + ... + 1161154838.

It is an arithmetic number, because the mean of its divisors is an integer number (61368384000).

Almost surely, 24130221434420 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 4130221434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891364864000).

4130221434420 is an abundant number, since it is smaller than the sum of its proper divisors (7652508293580).

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

4130221434420 is a wasteful number, since it uses less digits than its factorization.

4130221434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4130221434420 its reverse (244341220314), we get a palindrome (4374562654734).

The spelling of 4130221434420 in words is "four trillion, one hundred thirty billion, two hundred twenty-one million, four hundred thirty-four thousand, four hundred twenty".