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340443333134112 = 25313467958301161
BaseRepresentation
bin100110101101000011010001…
…1111100000000011100100000
31122122102001202020101021002110
41031122012203330000130200
5324110310421240242422
63204021301432115320
7131465135110151565
oct11532064374003440
91578361666337073
10340443333134112
119952623023aa1a
1232224247535b40
13117c688caa3b70
14600d78c20486c
152955aa43a660c
hex135a1a3f00720

340443333134112 has 96 divisors (see below), whose sum is σ = 962612817828480. Its totient is φ = 104729405368320.

The previous prime is 340443333134071. The next prime is 340443333134117. The reversal of 340443333134112 is 211431333344043.

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 not an unprimeable number, because it can be changed into a prime (340443333134117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23311189 + ... + 34989972.

It is an arithmetic number, because the mean of its divisors is an integer number (10027216852380).

Almost surely, 2340443333134112 is an apocalyptic number.

340443333134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340443333134112 is an abundant number, since it is smaller than the sum of its proper divisors (622169484694368).

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

340443333134112 is a wasteful number, since it uses less digits than its factorization.

340443333134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58305866 (or 58305858 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 340443333134112 its reverse (211431333344043), we get a palindrome (551874666478155).

The spelling of 340443333134112 in words is "three hundred forty trillion, four hundred forty-three billion, three hundred thirty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 4679 9358 14037 18716 28074 37432 56148 60827 74864 112296 121654 149728 182481 224592 243308 364962 449184 486616 729924 973232 1459848 1946464 2919696 5839392 58301161 116602322 174903483 233204644 349806966 466409288 699613932 757915093 932818576 1399227864 1515830186 1865637152 2273745279 2798455728 3031660372 4547490558 5596911456 6063320744 9094981116 12126641488 18189962232 24253282976 36379924464 72759848928 272791132319 545582264638 818373396957 1091164529276 1636746793914 2182329058552 3273493587828 3546284720147 4364658117104 6546987175656 7092569440294 8729316234208 10638854160441 13093974351312 14185138880588 21277708320882 26187948702624 28370277761176 42555416641764 56740555522352 85110833283528 113481111044704 170221666567056 340443333134112