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4434705430160 = 245172154775881
BaseRepresentation
bin100000010001000100100…
…0010101011011010010000
3120200221202020122121000012
41000202021002223122100
51040124234042231120
613233135304014052
7635253064125215
oct100421102533220
916627666577005
104434705430160
11145a82566a355
125b7585a61328
13262263611465
141148d884db0c
157a5546491c5
hex408890ab690

4434705430160 has 80 divisors (see below), whose sum is σ = 10320319426032. Its totient is φ = 1772226355200.

The previous prime is 4434705430139. The next prime is 4434705430163. The reversal of 4434705430160 is 610345074344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1476594383104 + 2958111047056 = 1215152^2 + 1719916^2 .

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

It is a super-2 number, since 2×44347054301602 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4434705430163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754070420 + ... + 754076300.

Almost surely, 24434705430160 is an apocalyptic number.

4434705430160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434705430160 is an abundant number, since it is smaller than the sum of its proper divisors (5885613995872).

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

4434705430160 is a wasteful number, since it uses less digits than its factorization.

4434705430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13092 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 4434705430160 in words is "four trillion, four hundred thirty-four billion, seven hundred five million, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1721 3442 5477 5881 6884 8605 10954 11762 13768 17210 21908 23524 27385 27536 29405 34420 43816 47048 54770 58810 68840 87632 94096 109540 117620 137680 219080 235240 438160 470480 9425917 10121201 18851834 20242402 32210237 37703668 40484804 47129585 50606005 64420474 75407336 80969608 94259170 101212010 128840948 150814672 161051185 161939216 188518340 202424020 257681896 322102370 377036680 404848040 515363792 644204740 754073360 809696080 1288409480 2576818960 55433817877 110867635754 221735271508 277169089385 443470543016 554338178770 886941086032 1108676357540 2217352715080 4434705430160