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30255253000024 = 231371107307912437
BaseRepresentation
bin1101110000100010110011…
…00110111000111101011000
310222010101002121020122221211
412320101121212320331120
512431200224232000044
6144203023224512504
76241604242161643
oct670213146707530
9128111077218854
1030255253000024
1197051a9624a38
12348780701b734
1313b609a8aca80
1476850d6baa5a
1537701dd72634
hex1b84599b8f58

30255253000024 has 128 divisors (see below), whose sum is σ = 62557129958400. Its totient is φ = 13633095329280.

The previous prime is 30255253000013. The next prime is 30255253000031. The reversal of 30255253000024 is 42000035255203.

It is a super-2 number, since 2×302552530000242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30255253000024.

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, 2432674734 + ... + 2432687170.

It is an arithmetic number, because the mean of its divisors is an integer number (488727577800).

Almost surely, 230255253000024 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 30255253000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31278564979200).

30255253000024 is an abundant number, since it is smaller than the sum of its proper divisors (32301876958376).

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

30255253000024 is a wasteful number, since it uses less digits than its factorization.

30255253000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

Adding to 30255253000024 its reverse (42000035255203), we get a palindrome (72255288255227).

The spelling of 30255253000024 in words is "thirty trillion, two hundred fifty-five billion, two hundred fifty-three million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 71 104 107 142 214 284 428 568 856 923 1391 1846 2782 3079 3692 5564 6158 7384 7597 11128 12316 12437 15194 24632 24874 30388 40027 49748 60776 80054 98761 99496 160108 161681 197522 218609 320216 323362 329453 395044 437218 646724 658906 790088 874436 883027 1293448 1317812 1330759 1748872 1766054 2635624 2661518 2841917 3532108 4282889 5323036 5683834 7064216 8565778 10646072 11367668 11479351 17131556 17299867 22735336 22958702 23391163 34263112 34599734 38293523 45917404 46782326 69199468 76587046 91834808 93564652 94483889 138398936 153174092 187129304 188967778 304085119 306348184 377935556 497815799 608170238 755871112 995631598 1216340476 1228290557 1991263196 2432680952 2456581114 2718840133 3982526392 4097406961 4913162228 5437680266 8194813922 9826324456 10875360532 16389627844 21750721064 32779255688 35344921729 53266290493 70689843458 106532580986 141379686916 213065161972 282759373832 290915894231 426130323944 581831788462 1163663576924 2327327153848 3781906625003 7563813250006 15127626500012 30255253000024