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16042151400 = 23352114994871
BaseRepresentation
bin11101111000010111…
…11100110111101000
31112102000010201122120
432330023330313220
5230323242321100
611211502551240
71105353015462
oct167413746750
945360121576
1016042151400
116892415870
123138598520
1316887240a2
14ac27c5132
1563d5700a0
hex3bc2fcde8

16042151400 has 192 divisors, whose sum is σ = 54371520000. Its totient is φ = 3880416000.

The previous prime is 16042151393. The next prime is 16042151407. The reversal of 16042151400 is 415124061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16042151393) and next prime (16042151407).

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

It is not an unprimeable number, because it can be changed into a prime (16042151407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3290965 + ... + 3295835.

It is an arithmetic number, because the mean of its divisors is an integer number (283185000).

Almost surely, 216042151400 is an apocalyptic number.

16042151400 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 16042151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185760000).

16042151400 is an abundant number, since it is smaller than the sum of its proper divisors (38329368600).

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

16042151400 is a wasteful number, since it uses less digits than its factorization.

16042151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 16042151400 its reverse (415124061), we get a palindrome (16457275461).

The spelling of 16042151400 in words is "sixteen billion, forty-two million, one hundred fifty-one thousand, four hundred".