Search a number
-
+
330101302134432 = 253231491003371821
BaseRepresentation
bin100101100001110011011001…
…0110110101000011010100000
31121021210101011022110222020010
41023003212302312220122200
5321231334431321300212
63130022240015444520
7126350013665125143
oct11303466266503240
91537711138428203
10330101302134432
11961a91a3371534
1231033a16226740
131122655b05813a
145b72db9b5c05a
152826a5bd3503c
hex12c39b2da86a0

330101302134432 has 96 divisors (see below), whose sum is σ = 910258916918400. Its totient is φ = 104543316669440.

The previous prime is 330101302134413. The next prime is 330101302134463. The reversal of 330101302134432 is 234431203101033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 330101302134432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501356919 + ... + 502014902.

It is an arithmetic number, because the mean of its divisors is an integer number (9481863717900).

Almost surely, 2330101302134432 is an apocalyptic number.

330101302134432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330101302134432 is an abundant number, since it is smaller than the sum of its proper divisors (580157614783968).

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

330101302134432 is a wasteful number, since it uses less digits than its factorization.

330101302134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003372006 (or 1003371998 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 330101302134432 its reverse (234431203101033), we get a palindrome (564532505235465).

The spelling of 330101302134432 in words is "three hundred thirty trillion, one hundred one billion, three hundred two million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 149 184 276 298 368 447 552 596 736 894 1104 1192 1788 2208 2384 3427 3576 4768 6854 7152 10281 13708 14304 20562 27416 41124 54832 82248 109664 164496 328992 1003371821 2006743642 3010115463 4013487284 6020230926 8026974568 12040461852 16053949136 23077551883 24080923704 32107898272 46155103766 48161847408 69232655649 92310207532 96323694816 138465311298 149502401329 184620415064 276930622596 299004802658 369240830128 448507203987 553861245192 598009605316 738481660256 897014407974 1107722490384 1196019210632 1794028815948 2215444980768 2392038421264 3438555230567 3588057631896 4784076842528 6877110461134 7176115263792 10315665691701 13754220922268 14352230527584 20631331383402 27508441844536 41262662766804 55016883689072 82525325533608 110033767378144 165050651067216 330101302134432