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3444140003100 = 2235279235161813
BaseRepresentation
bin110010000111100110101…
…111011100111100011100
3110012020221001001010112120
4302013212233130330130
5422412044320044400
611154114401102540
7503554666664556
oct62074657347434
913166831033476
103444140003100
111108719274785
124775b7627a50
131bca1cb50a74
14bc9a94224d6
155e8cb301ca0
hex321e6bdcf1c

3444140003100 has 144 divisors (see below), whose sum is σ = 10095640504320. Its totient is φ = 906411168000.

The previous prime is 3444140003099. The next prime is 3444140003131. The reversal of 3444140003100 is 13000414443.

It is a super-2 number, since 2×34441400031002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55687794 + ... + 55749606.

Almost surely, 23444140003100 is an apocalyptic number.

3444140003100 is a gapful number since it is divisible by the number (30) 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 3444140003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047820252160).

3444140003100 is an abundant number, since it is smaller than the sum of its proper divisors (6651500501220).

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

3444140003100 is a wasteful number, since it uses less digits than its factorization.

3444140003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64260 (or 64253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3444140003100 its reverse (13000414443), we get a palindrome (3457140417543).

The spelling of 3444140003100 in words is "three trillion, four hundred forty-four billion, one hundred forty million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2351 2370 3950 4702 4740 5925 7053 7900 9404 11755 11850 14106 23510 23700 28212 35265 47020 58775 61813 70530 117550 123626 141060 176325 185439 185729 235100 247252 309065 352650 370878 371458 557187 618130 705300 741756 742916 927195 928645 1114374 1236260 1545325 1854390 1857290 2228748 2785935 3090650 3708780 3714580 4635975 4643225 4883227 5571870 6181300 9271950 9286450 9766454 11143740 13929675 14649681 18543900 18572900 19532908 24416135 27859350 29299362 48832270 55718700 58598724 73248405 97664540 122080675 145322363 146496810 244161350 290644726 292993620 366242025 435967089 488322700 581289452 726611815 732484050 871934178 1453223630 1464968100 1743868356 2179835445 2906447260 3633059075 4359670890 7266118150 8719341780 10899177225 11480466677 14532236300 21798354450 22960933354 34441400031 43596708900 45921866708 57402333385 68882800062 114804666770 137765600124 172207000155 229609333540 287011666925 344414000310 574023333850 688828000620 861035000775 1148046667700 1722070001550 3444140003100