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43216921440 = 25345711231127
BaseRepresentation
bin101000001111111011…
…011110001101100000
311010112212021002010000
4220033323132031200
51202002012441230
631504212340000
73056645525340
oct501773361540
9133485232100
1043216921440
1117367909800
128461314600
1340c9697184
14213d91cd20
1511ce128b60
hexa0fede360

43216921440 has 1440 divisors, whose sum is σ = 199332790272. Its totient is φ = 8622028800.

The previous prime is 43216921427. The next prime is 43216921441. The reversal of 43216921440 is 4412961234.

43216921440 is a `hidden beast` number, since 4 + 32 + 169 + 21 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×432169214402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 43216921395 and 43216921404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43216921441) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 340290657 + ... + 340290783.

Almost surely, 243216921440 is an apocalyptic number.

43216921440 is a gapful number since it is divisible by the number (40) 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 43216921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99666395136).

43216921440 is an abundant number, since it is smaller than the sum of its proper divisors (156115868832).

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

43216921440 is a wasteful number, since it uses less digits than its factorization.

43216921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 43216921440 in words is "forty-three billion, two hundred sixteen million, nine hundred twenty-one thousand, four hundred forty".