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2343114018336 = 253713268213601
BaseRepresentation
bin100010000110001100011…
…110101000111000100000
322021222222122101221022010
4202012030132220320200
5301342144142041321
64552224533112520
7331166356353030
oct42061436507040
98258878357263
102343114018336
118237888621a3
1231a140188740
1313cc5463b120
148159b9a58c0
1540e3a73a676
hex2218c7a8e20

2343114018336 has 96 divisors (see below), whose sum is σ = 7570060702848. Its totient is φ = 617964134400.

The previous prime is 2343114018319. The next prime is 2343114018347. The reversal of 2343114018336 is 6338104113432.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2343114018294 and 2343114018303.

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, 134098065 + ... + 134115536.

It is an arithmetic number, because the mean of its divisors is an integer number (78854798988).

Almost surely, 22343114018336 is an apocalyptic number.

2343114018336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2343114018336 is an abundant number, since it is smaller than the sum of its proper divisors (5226946684512).

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

2343114018336 is a wasteful number, since it uses less digits than its factorization.

2343114018336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268213634 (or 268213626 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 2343114018336 in words is "two trillion, three hundred forty-three billion, one hundred fourteen million, eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 268213601 536427202 804640803 1072854404 1609281606 1877495207 2145708808 3218563212 3486776813 3754990414 4291417616 5632485621 6437126424 6973553626 7509980828 8582835232 10460330439 11264971242 12874252848 13947107252 15019961656 20920660878 22529942484 24407437691 25748505696 27894214504 30039923312 41841321756 45059884968 48814875382 55788429008 60079846624 73222313073 83682643512 90119769936 97629750764 111576858016 146444626146 167365287024 180239539872 195259501528 292889252292 334730574048 390519003056 585778504584 781038006112 1171557009168 2343114018336