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30352017135444 = 223192392861194687
BaseRepresentation
bin1101110011010111000010…
…01100110001011101010100
310222110121212021001001111020
412321223201030301131110
512434241412341313234
6144315305120041140
76251601164564634
oct671534114613524
9128417767031436
1030352017135444
119742244441094
1234a25111631b0
1313c224bba4534
1476d08ca986c4
153797d3e77549
hex1b9ae1331754

30352017135444 has 96 divisors (see below), whose sum is σ = 74887284326400. Its totient is φ = 9541358386560.

The previous prime is 30352017135409. The next prime is 30352017135521. The reversal of 30352017135444 is 44453171025303.

It is a junction number, because it is equal to n+sod(n) for n = 30352017135396 and 30352017135405.

It is a congruent number.

It is an unprimeable number.

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, 155804269 + ... + 155998955.

It is an arithmetic number, because the mean of its divisors is an integer number (780075878400).

Almost surely, 230352017135444 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 30352017135444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37443642163200).

30352017135444 is an abundant number, since it is smaller than the sum of its proper divisors (44535267190956).

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

30352017135444 is a wasteful number, since it uses less digits than its factorization.

30352017135444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197813 (or 197811 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 30352017135444 in words is "thirty trillion, three hundred fifty-two billion, seventeen million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 478 717 956 1434 2861 2868 4541 5722 8583 9082 11444 13623 17166 18164 27246 34332 54359 54492 108718 163077 194687 217436 326154 389374 584061 652308 683779 778748 1168122 1367558 2051337 2336244 2735116 3699053 4102674 7398106 8205348 11097159 12991801 14796212 22194318 25983602 38975403 44388636 46530193 51967204 77950806 93060386 139590579 155901612 186120772 279181158 556999507 558362316 884073667 1113999014 1670998521 1768147334 2227998028 2652221001 3341997042 3536294668 5304442002 6683994084 10582990633 10608884004 21165981266 31748971899 42331962532 63497943798 126995887596 133122882173 266245764346 399368646519 532491528692 798737293038 1597474586076 2529334761287 5058669522574 7588004283861 10117339045148 15176008567722 30352017135444