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3424444332032 = 2117927897589
BaseRepresentation
bin110001110101010000110…
…010011011100000000000
3110010101002102011101002202
4301311100302123200000
5422101230222111112
611141100142332332
7502256631360203
oct61652062334000
913111072141082
103424444332032
111100331606579
1247381b58a0a8
131bac0152b429
14bba5b71993a
155e12714c6c2
hex31d50c9b800

3424444332032 has 96 divisors (see below), whose sum is σ = 6937290360000. Its totient is φ = 1689719635968.

The previous prime is 3424444331989. The next prime is 3424444332037. The reversal of 3424444332032 is 2302334444243.

It is a super-2 number, since 2×34244443320322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424444332037) 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, 451234094 + ... + 451241682.

It is an arithmetic number, because the mean of its divisors is an integer number (72263441250).

Almost surely, 23424444332032 is an apocalyptic number.

3424444332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424444332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468645180000).

3424444332032 is an abundant number, since it is smaller than the sum of its proper divisors (3512846027968).

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

3424444332032 is an equidigital number, since it uses as much as digits as its factorization.

3424444332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 3424444332032 its reverse (2302334444243), we get a palindrome (5726778776275).

The spelling of 3424444332032 in words is "three trillion, four hundred twenty-four billion, four hundred forty-four million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 2789 5056 5578 7589 10112 11156 15178 20224 22312 30356 40448 44624 60712 80896 89248 121424 161792 178496 220331 242848 356992 440662 485696 599531 713984 881324 971392 1199062 1427968 1762648 1942784 2398124 2855936 3525296 3885568 4796248 5711872 7050592 7771136 9592496 14101184 15542272 19184992 21165721 28202368 38369984 42331442 56404736 76739968 84662884 112809472 153479936 169325768 225618944 306959872 338651536 451237888 613919744 677303072 1227839488 1354606144 1672091959 2709212288 3344183918 5418424576 6688367836 10836849152 13376735672 21673698304 26753471344 43347396608 53506942688 107013885376 214027770752 428055541504 856111083008 1712222166016 3424444332032