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4321440072 = 233515714159
BaseRepresentation
bin1000000011001001…
…11111000101001000
3102011011112220100000
410001210333011020
532322242040242
61552451243000
7212042430435
oct40144770510
912134486300
104321440072
111918381984
12a072a9460
1353b3b8241
142cdd08b8c
151a45bba4c
hex10193f148

4321440072 has 96 divisors (see below), whose sum is σ = 12215548800. Its totient is φ = 1431203904.

The previous prime is 4321440061. The next prime is 4321440089. The reversal of 4321440072 is 2700441234.

4321440072 is a `hidden beast` number, since 43 + 214 + 400 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298129 + ... + 312287.

It is an arithmetic number, because the mean of its divisors is an integer number (127245300).

Almost surely, 24321440072 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 4321440072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107774400).

4321440072 is an abundant number, since it is smaller than the sum of its proper divisors (7894108728).

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

4321440072 is a wasteful number, since it uses less digits than its factorization.

4321440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4321440072 is about 65737.6609866825. The cubic root of 4321440072 is about 1628.8315200744.

The spelling of 4321440072 in words is "four billion, three hundred twenty-one million, four hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 243 314 324 471 486 628 648 942 972 1256 1413 1884 1944 2826 3768 4239 5652 8478 11304 12717 14159 16956 25434 28318 33912 38151 42477 50868 56636 76302 84954 101736 113272 127431 152604 169908 254862 305208 339816 382293 509724 764586 1019448 1146879 1529172 2222963 2293758 3058344 3440637 4445926 4587516 6668889 6881274 8891852 9175032 13337778 13762548 17783704 20006667 26675556 27525096 40013334 53351112 60020001 80026668 120040002 160053336 180060003 240080004 360120006 480160008 540180009 720240012 1080360018 1440480024 2160720036 4321440072