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4144045120 = 26517761773
BaseRepresentation
bin1111011100000001…
…0001110001000000
3101200210202022012121
43313000101301000
531441333420440
61523113134024
7204456542125
oct36700216100
911623668177
104144045120
111837229486
129779ba314
13510717007
142b452c74c
15193c2a34a
hexf7011c40

4144045120 has 56 divisors (see below), whose sum is σ = 10448492184. Its totient is φ = 1560109056.

The previous prime is 4144045109. The next prime is 4144045121. The reversal of 4144045120 is 215404414.

It can be written as a sum of positive squares in 4 ways, for example, as 815216704 + 3328828416 = 28552^2 + 57696^2 .

It is not an unprimeable number, because it can be changed into a prime (4144045121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375447 + ... + 386326.

Almost surely, 24144045120 is an apocalyptic number.

4144045120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144045120 is an abundant number, since it is smaller than the sum of its proper divisors (6304447064).

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

4144045120 is a wasteful number, since it uses less digits than its factorization.

4144045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761807 (or 761797 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4144045120 is about 64374.2582093184. The cubic root of 4144045120 is about 1606.2315731760.

Adding to 4144045120 its reverse (215404414), we get a palindrome (4359449534).

The spelling of 4144045120 in words is "four billion, one hundred forty-four million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 761773 1523546 3047092 3808865 6094184 7617730 12188368 12950141 15235460 24376736 25900282 30470920 48753472 51800564 60941840 64750705 103601128 121883680 129501410 207202256 243767360 259002820 414404512 518005640 828809024 1036011280 2072022560 4144045120