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3123321444404 = 2273743439159707
BaseRepresentation
bin101101011100110100011…
…101110001100000110100
3102001120211122022202002222
4231130310131301200310
5402133030242210104
610350500054021512
7441436550144630
oct55346435614064
912046748282088
103123321444404
11aa4658592177
124253a2047898
131986b2b97295
14ab2533dbdc0
15563a10d61be
hex2d734771834

3123321444404 has 96 divisors (see below), whose sum is σ = 6579662960640. Its totient is φ = 1269195080832.

The previous prime is 3123321444403. The next prime is 3123321444413. The reversal of 3123321444404 is 4044441233213.

3123321444404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123321444403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19476719 + ... + 19636425.

It is an arithmetic number, because the mean of its divisors is an integer number (68538155840).

Almost surely, 23123321444404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123321444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289831480320).

3123321444404 is an abundant number, since it is smaller than the sum of its proper divisors (3456341516236).

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

3123321444404 is a wasteful number, since it uses less digits than its factorization.

3123321444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160237 (or 160235 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 3123321444404 its reverse (4044441233213), we get a palindrome (7167762677617).

The spelling of 3123321444404 in words is "three trillion, one hundred twenty-three billion, three hundred twenty-one million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 439 518 602 878 1036 1204 1591 1756 3073 3182 6146 6364 11137 12292 16243 18877 22274 32486 37754 44548 64972 75508 113701 132139 159707 227402 264278 319414 454804 528556 638828 698449 1117949 1396898 2235898 2793796 4471796 4889143 5909159 6867401 9778286 11818318 13734802 19556572 23636636 27469604 41364113 48071807 70111373 82728226 96143614 140222746 165456452 192287228 254093837 280445492 490779611 508187674 981559222 1016375348 1778656859 1963118444 2594120801 3014789039 3557313718 5188241602 6029578078 7114627436 10376483204 12059156156 18158845607 21103523273 36317691214 42207046546 72635382428 84414093092 111547194443 223094388886 446188777772 780830361101 1561660722202 3123321444404