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3031050729444 = 22317471204926237
BaseRepresentation
bin101100000110111000101…
…100111011011111100100
3101201202200010200202122120
4230012320230323133210
5344130042441320234
610240240120225540
7431662156050063
oct54067054733744
911652603622576
103031050729444
11a69509132351
1240b53090b2b0
1318ca997b45aa
14a69bcad61da
1553ca0720049
hex2c1b8b3b7e4

3031050729444 has 96 divisors (see below), whose sum is σ = 7648733836800. Its totient is φ = 930572869632.

The previous prime is 3031050729431. The next prime is 3031050729449. The reversal of 3031050729444 is 4449270501303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3031050729396 and 3031050729405.

It is not an unprimeable number, because it can be changed into a prime (3031050729449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115512694 + ... + 115538930.

It is an arithmetic number, because the mean of its divisors is an integer number (79674310800).

Almost surely, 23031050729444 is an apocalyptic number.

3031050729444 is a gapful number since it is divisible by the number (34) 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 3031050729444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824366918400).

3031050729444 is an abundant number, since it is smaller than the sum of its proper divisors (4617683107356).

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

3031050729444 is a wasteful number, since it uses less digits than its factorization.

3031050729444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38357 (or 38355 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3031050729444 in words is "three trillion, thirty-one billion, fifty million, seven hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4794 9588 12049 24098 26237 36147 48196 52474 72294 78711 104948 144588 157422 204833 314844 409666 446029 566303 614499 819332 892058 1132606 1228998 1233139 1338087 1698909 1784116 2265212 2457996 2466278 2676174 3397818 3699417 4932556 5352348 6795636 7398834 9627151 14797668 19254302 20963363 28881453 38508604 41926726 57762906 62890089 83853452 115525812 125780178 251560356 316129613 632259226 948388839 1264518452 1896777678 3793555356 5374203421 10748406842 14858091811 16122610263 21496813684 29716183622 32245220526 44574275433 59432367244 64490441052 89148550866 178297101732 252587560787 505175121574 757762682361 1010350243148 1515525364722 3031050729444