Search a number
-
+
141424312230100 = 22526742714942193
BaseRepresentation
bin100000001001111111101001…
…111001001010000011010100
3200112202000212110222120221201
4200021333221321022003110
5122014043442412330400
61220441233201122244
741534366203344334
oct4011775171120324
9615660773876851
10141424312230100
1141075794369889
1213a40b90029384
1360bb342204333
1426ccd8a7ab0c4
151153b86c6506a
hex809fe9e4a0d4

141424312230100 has 72 divisors (see below), whose sum is σ = 311544206644608. Its totient is φ = 55712341977600.

The previous prime is 141424312230029. The next prime is 141424312230193. The reversal of 141424312230100 is 1032213424141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26144604 + ... + 31086796.

It is an arithmetic number, because the mean of its divisors is an integer number (4327002870064).

Almost surely, 2141424312230100 is an apocalyptic number.

141424312230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141424312230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155772103322304).

141424312230100 is an abundant number, since it is smaller than the sum of its proper divisors (170119894414508).

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

141424312230100 is a wasteful number, since it uses less digits than its factorization.

141424312230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946545 (or 4946538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 141424312230100 its reverse (1032213424141), we get a palindrome (142456525654241).

The spelling of 141424312230100 in words is "one hundred forty-one trillion, four hundred twenty-four billion, three hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 4271 6700 8542 17084 21355 42710 85420 106775 213550 286157 427100 572314 1144628 1430785 2861570 4942193 5723140 7153925 9884386 14307850 19768772 24710965 28615700 49421930 98843860 123554825 247109650 331126931 494219300 662253862 1324507724 1655634655 3311269310 6622538620 8278173275 16556346550 21108106303 33112693100 42216212606 84432425212 105540531515 211081063030 422162126060 527702657575 1055405315150 1414243122301 2110810630300 2828486244602 5656972489204 7071215611505 14142431223010 28284862446020 35356078057525 70712156115050 141424312230100