Search a number
-
+
243014641414100 = 22523124358808567
BaseRepresentation
bin110111010000010101000001…
…011000000110111111010100
31011212102222021012020020122022
4313100111001120012333110
5223323022441200222400
62220503215101352312
7102121141233531053
oct6720250130067724
91155388235206568
10243014641414100
1170482a26777226
1223309a47868698
13a57a24a83137a
144401d8575639a
151d1657dad1b85
hexdd0541606fd4

243014641414100 has 108 divisors (see below), whose sum is σ = 557573677813152. Its totient is φ = 91882503518400.

The previous prime is 243014641414067. The next prime is 243014641414109. The reversal of 243014641414100 is 1414146410342.

It is a happy number.

It is a super-2 number, since 2×2430146414141002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243014641414109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25271984 + ... + 33536583.

Almost surely, 2243014641414100 is an apocalyptic number.

243014641414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243014641414100 is an abundant number, since it is smaller than the sum of its proper divisors (314559036399052).

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

243014641414100 is a wasteful number, since it uses less digits than its factorization.

243014641414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58808686 (or 58808648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 243014641414100 its reverse (1414146410342), we get a palindrome (244428787824442).

The spelling of 243014641414100 in words is "two hundred forty-three trillion, fourteen billion, six hundred forty-one million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 155 172 215 310 430 620 775 860 961 1075 1333 1550 1922 2150 2666 3100 3844 4300 4805 5332 6665 9610 13330 19220 24025 26660 33325 41323 48050 66650 82646 96100 133300 165292 206615 413230 826460 1033075 2066150 4132300 58808567 117617134 235234268 294042835 588085670 1176171340 1470214175 1823065577 2528768381 2940428350 3646131154 5057536762 5880856700 7292262308 9115327885 10115073524 12643841905 18230655770 25287683810 36461311540 45576639425 50575367620 56515032887 63219209525 78391819811 91153278850 113030065774 126438419050 156783639622 182306557700 226060131548 252876838100 282575164435 313567279244 391959099055 565150328870 783918198110 1130300657740 1412875822175 1567836396220 1959795495275 2430146414141 2825751644350 3919590990550 4860292828282 5651503288700 7839181981100 9720585656564 12150732070705 24301464141410 48602928282820 60753660353525 121507320707050 243014641414100