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2340416140432 = 246136718613511
BaseRepresentation
bin100010000011101011101…
…011000011010010010000
322021202000121212112120021
4202003223223003102100
5301321133012443212
64551101120153224
7331042456645546
oct42035353032220
98252017775507
102340416140432
11822623995637
12319708768814
1313c914718576
14813c3565d96
1540d2d974307
hex220ebac3490

2340416140432 has 80 divisors (see below), whose sum is σ = 4625251853824. Its totient is φ = 1146944448000.

The previous prime is 2340416140429. The next prime is 2340416140483.

2340416140432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666593557 + ... + 666597067.

Almost surely, 22340416140432 is an apocalyptic number.

It is an amenable number.

2340416140432 is a deficient number, since it is larger than the sum of its proper divisors (2284835713392).

2340416140432 is a wasteful number, since it uses less digits than its factorization.

2340416140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 2340416140432 in words is "two trillion, three hundred forty billion, four hundred sixteen million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 61 122 244 367 488 734 976 1468 1861 2936 3511 3722 5872 7022 7444 14044 14888 22387 28088 29776 44774 56176 89548 113521 179096 214171 227042 358192 428342 454084 682987 856684 908168 1288537 1365974 1713368 1816336 2577074 2731948 3426736 5154148 5463896 6533971 10308296 10927792 13067942 20616592 26135884 41662207 52271768 78600757 83324414 104543536 157201514 166648828 314403028 333297656 398572231 628806056 666595312 797144462 1257612112 1594288924 2397967357 3188577848 4795934714 6377155696 9591869428 19183738856 38367477712 146276008777 292552017554 585104035108 1170208070216 2340416140432