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8440008484080 = 2435131268448107
BaseRepresentation
bin111101011010001011110…
…1101010010010011110000
31002212212010200222100022210
41322310113231102103300
52101240114132442310
625541141504532120
71530525164265045
oct172642755222360
932785120870283
108440008484080
112764429838908
12b43891921040
13492b73c95604
142126da1bb1cc
15e9825e6e820
hex7ad17b524f0

8440008484080 has 80 divisors (see below), whose sum is σ = 26363751790464. Its totient is φ = 2233488241920.

The previous prime is 8440008484079. The next prime is 8440008484109. The reversal of 8440008484080 is 804848000448.

It is a happy number.

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

It is a super-2 number, since 2×84400084840802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134192614 + ... + 134255493.

Almost surely, 28440008484080 is an apocalyptic number.

8440008484080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8440008484080 is an abundant number, since it is smaller than the sum of its proper divisors (17923743306384).

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

8440008484080 is a wasteful number, since it uses less digits than its factorization.

8440008484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268448254 (or 268448248 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8440008484080 in words is "eight trillion, four hundred forty billion, eight million, four hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 268448107 536896214 805344321 1073792428 1342240535 1610688642 2147584856 2684481070 3221377284 4026721605 4295169712 5368962140 6442754568 8053443210 10737924280 12885509136 16106886420 21475848560 32213772840 35166702017 64427545680 70333404034 105500106051 140666808068 175833510085 211000212102 281333616136 351667020170 422000424204 527500530255 562667232272 703334040340 844000848408 1055001060510 1406668080680 1688001696816 2110002121020 2813336161360 4220004242040 8440008484080