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4144880720 = 245242321383
BaseRepresentation
bin1111011100001101…
…1101110001010000
3101200212022202102202
43313003131301100
531442042140340
61523143102332
7204466622231
oct36703356120
911625282382
104144880720
11183774a262
129781419a8
1351094a456
142b46a9088
15193d42c15
hexf70ddc50

4144880720 has 40 divisors (see below), whose sum is σ = 9641275776. Its totient is φ = 1657190528.

The previous prime is 4144880617. The next prime is 4144880731. The reversal of 4144880720 is 270884414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183149 + ... + 204531.

Almost surely, 24144880720 is an apocalyptic number.

4144880720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144880720 is an abundant number, since it is smaller than the sum of its proper divisors (5496395056).

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

4144880720 is a wasteful number, since it uses less digits than its factorization.

4144880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23819 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 4144880720 is about 64380.7480540573. The cubic root of 4144880720 is about 1606.3395254194.

The spelling of 4144880720 in words is "four billion, one hundred forty-four million, eight hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2423 4846 9692 12115 19384 21383 24230 38768 42766 48460 85532 96920 106915 171064 193840 213830 342128 427660 855320 1710640 51811009 103622018 207244036 259055045 414488072 518110090 828976144 1036220180 2072440360 4144880720