Search a number
-
+
3410141434050 = 2352133511498089
BaseRepresentation
bin110001100111111100010…
…001001101000011000010
3110002000011121201212121110
4301213330101031003002
5421332432201342200
611130333005504150
7501242324632161
oct61477421150302
913060147655543
103410141434050
1110a5261a3462a
12470aa9572056
131b97622486a0
14bb0a1d173d8
155da8b636b50
hex319fc44d0c2

3410141434050 has 96 divisors (see below), whose sum is σ = 9110313152640. Its totient is φ = 839178662400.

The previous prime is 3410141434001. The next prime is 3410141434097. The reversal of 3410141434050 is 504341410143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3410141433999 and 3410141434017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6597406 + ... + 7095494.

It is an arithmetic number, because the mean of its divisors is an integer number (94899095340).

Almost surely, 23410141434050 is an apocalyptic number.

3410141434050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410141434050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555156576320).

3410141434050 is an abundant number, since it is smaller than the sum of its proper divisors (5700171718590).

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

3410141434050 is a wasteful number, since it uses less digits than its factorization.

3410141434050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501628 (or 501623 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 3410141434050 its reverse (504341410143), we get a palindrome (3914482844193).

The spelling of 3410141434050 in words is "three trillion, four hundred ten billion, one hundred forty-one million, four hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 3511 7022 10533 17555 21066 35110 45643 52665 87775 91286 105330 136929 175550 228215 263325 273858 456430 498089 526650 684645 996178 1141075 1369290 1494267 2282150 2490445 2988534 3423225 4980890 6475157 6846450 7471335 12452225 12950314 14942670 19425471 24904450 32375785 37356675 38850942 64751570 74713350 97127355 161878925 194254710 323757850 485636775 971273550 1748790479 3497580958 5246371437 8743952395 10492742874 17487904790 22734276227 26231857185 43719761975 45468552454 52463714370 68202828681 87439523950 113671381135 131159285925 136405657362 227342762270 262318571850 341014143405 568356905675 682028286810 1136713811350 1705070717025 3410141434050