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16243400448000 = 211345311175971
BaseRepresentation
bin1110110001011111011000…
…0111010001100000000000
32010111212001111122200110000
43230113312013101200000
54112112441003314000
654314040512240000
73264355414465035
oct354276607214000
963455044580400
1016243400448000
1151a28730a7610
1219a40b5b40000
1390a99120b73b
1440228305338c
151d27dc62c000
hexec5f61d1800

16243400448000 has 3840 divisors, whose sum is σ = 72127581926400. Its totient is φ = 3592028160000.

The previous prime is 16243400447993. The next prime is 16243400448043. The reversal of 16243400448000 is 84400434261.

16243400448000 is a `hidden beast` number, since 1 + 6 + 243 + 400 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×162434004480002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 228780287965 + ... + 228780288035.

It is an arithmetic number, because the mean of its divisors is an integer number (18783224460).

Almost surely, 216243400448000 is an apocalyptic number.

16243400448000 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 16243400448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36063790963200).

16243400448000 is an abundant number, since it is smaller than the sum of its proper divisors (55884181478400).

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

16243400448000 is a wasteful number, since it uses less digits than its factorization.

16243400448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 16243400448000 in words is "sixteen trillion, two hundred forty-three billion, four hundred million, four hundred forty-eight thousand".