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4351351104340 = 2254121009128273
BaseRepresentation
bin111111010100100000101…
…111001010001101010100
3120101222121010210010000121
4333110200233022031110
51032243031340314330
613130552203321324
7626242352056102
oct77244057121524
916358533703017
104351351104340
111428441293679
125a33a2820244
1325743b585c86
1411086c3d6c72
15782c694617a
hex3f520bca354

4351351104340 has 72 divisors (see below), whose sum is σ = 9375503046840. Its totient is φ = 1696392069120.

The previous prime is 4351351104319. The next prime is 4351351104343. The reversal of 4351351104340 is 434011531534.

4351351104340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4280082394896 + 71268709444 = 2068836^2 + 266962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4351351104296 and 4351351104305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4351351104343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33858444 + ... + 33986716.

It is an arithmetic number, because the mean of its divisors is an integer number (130215320095).

Almost surely, 24351351104340 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 4351351104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687751523420).

4351351104340 is an abundant number, since it is smaller than the sum of its proper divisors (5024151942500).

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

4351351104340 is a wasteful number, since it uses less digits than its factorization.

4351351104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129373 (or 129330 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 4351351104340 its reverse (434011531534), we get a palindrome (4785362635874).

The spelling of 4351351104340 in words is "four trillion, three hundred fifty-one billion, three hundred fifty-one million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1009 1681 2018 3362 4036 5045 6724 8405 10090 16810 20180 33620 41369 82738 128273 165476 206845 256546 413690 513092 641365 827380 1282730 1696129 2565460 3392258 5259193 6784516 8480645 10518386 16961290 21036772 26295965 33922580 52591930 105183860 129427457 215626913 258854914 431253826 517709828 647137285 862507652 1078134565 1294274570 2156269130 2588549140 4312538260 5306525737 10613051474 21226102948 26532628685 53065257370 106130514740 217567555217 435135110434 870270220868 1087837776085 2175675552170 4351351104340