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3441044401443 = 321123724749109
BaseRepresentation
bin110010000100101110001…
…110101010110100100011
3110011221221022010021101100
4302010232032222310203
5422334224331321233
611152443255405443
7503415200546055
oct62045616526443
913157838107340
103441044401443
11110737a947400
12476a92983883
131bc6487059cc
14bc7942518d5
155e799676813
hex3212e3aad23

3441044401443 has 108 divisors (see below), whose sum is σ = 5734562127840. Its totient is φ = 1985903948160.

The previous prime is 3441044401441. The next prime is 3441044401507.

3441044401443 is a `hidden beast` number, since 34 + 41 + 0 + 4 + 440 + 144 + 3 = 666.

3441044401443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3441044401443 - 21 = 3441044401441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3441044401398 and 3441044401407.

It is not an unprimeable number, because it can be changed into a prime (3441044401441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 70044973 + ... + 70094081.

It is an arithmetic number, because the mean of its divisors is an integer number (53097797480).

Almost surely, 23441044401443 is an apocalyptic number.

3441044401443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3441044401443 is a deficient number, since it is larger than the sum of its proper divisors (2293517726397).

3441044401443 is a wasteful number, since it uses less digits than its factorization.

3441044401443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49258 (or 49207 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 3441044401443 in words is "three trillion, four hundred forty-one billion, forty-four million, four hundred one thousand, four hundred forty-three".

Divisors: 1 3 9 11 33 37 47 99 111 121 141 333 363 407 423 517 1089 1221 1369 1551 1739 3663 4107 4477 4653 5217 5687 12321 13431 15059 15651 17061 19129 40293 45177 49109 51183 57387 64343 135531 147327 165649 172161 193029 210419 441981 496947 540199 579087 631257 707773 1490841 1620597 1817033 1893771 2123319 2308123 4861791 5451099 5942189 6369957 6924369 7785503 16353297 17826567 19987363 20773107 23356509 25389353 53479701 59962089 67230221 70069527 76168059 85400551 179886267 201690663 219860993 228504177 256201653 279282883 605071989 659582979 739532431 768604959 837848649 939406061 1978748937 2218597293 2513545947 2818218183 3159820387 6655791879 8134856741 8454654549 9479461161 10333466671 24404570223 28438383483 31000400013 34758024257 73213710669 93001200039 104274072771 312822218313 382338266827 1147014800481 3441044401443