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16431221400 = 23352113180309
BaseRepresentation
bin11110100110110000…
…01000101010011000
31120102010020112100120
433103120020222120
5232122343041100
611314242033240
71121116035366
oct172330105230
946363215316
1016431221400
116a71aa5920
123226948820
13171b209719
14b1c342636
156627c50a0
hex3d3608a98

16431221400 has 192 divisors, whose sum is σ = 57360614400. Its totient is φ = 3854784000.

The previous prime is 16431221393. The next prime is 16431221441. The reversal of 16431221400 is 412213461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164446 + ... + 244754.

It is an arithmetic number, because the mean of its divisors is an integer number (298753200).

Almost surely, 216431221400 is an apocalyptic number.

16431221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16431221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680307200).

16431221400 is an abundant number, since it is smaller than the sum of its proper divisors (40929393000).

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

16431221400 is a wasteful number, since it uses less digits than its factorization.

16431221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16431221400 its reverse (412213461), we get a palindrome (16843434861).

The spelling of 16431221400 in words is "sixteen billion, four hundred thirty-one million, two hundred twenty-one thousand, four hundred".