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8440444080 = 243353907613
BaseRepresentation
bin1111101110001011…
…01111010010110000
3210210020011222121000
413313011233102300
5114241223202310
63513312002000
7416106406455
oct76705572260
923706158530
108440444080
113641457622
121776830300
13a46875413
145a0d9982c
15345eec4c0
hex1f716f4b0

8440444080 has 80 divisors (see below), whose sum is σ = 29072648160. Its totient is φ = 2250784512.

The previous prime is 8440444057. The next prime is 8440444091. The reversal of 8440444080 is 804440448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 1951647 + ... + 1955966.

It is an arithmetic number, because the mean of its divisors is an integer number (363408102).

Almost surely, 28440444080 is an apocalyptic number.

8440444080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8440444080 is an abundant number, since it is smaller than the sum of its proper divisors (20632204080).

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

8440444080 is a wasteful number, since it uses less digits than its factorization.

8440444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907635 (or 3907623 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8440444080 is about 91871.8894983661. The cubic root of 8440444080 is about 2036.0499689888.

The spelling of 8440444080 in words is "eight billion, four hundred forty million, four hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3907613 7815226 11722839 15630452 19538065 23445678 31260904 35168517 39076130 46891356 58614195 62521808 70337034 78152260 93782712 105505551 117228390 140674068 156304520 175842585 187565424 211011102 234456780 281348136 312609040 351685170 422022204 468913560 527527755 562696272 703370340 844044408 937827120 1055055510 1406740680 1688088816 2110111020 2813481360 4220222040 8440444080