Search a number
-
+
254133434245340 = 225133767394286521
BaseRepresentation
bin111001110010001000001101…
…000100101110000011011100
31020022210220210222120000020002
4321302020031010232003130
5231302210233131322330
62300255142111513432
7104346351260313356
oct7162101504560334
91208726728500202
10254133434245340
1173a7a425428521
1224604918b28878
13aba58ac008330
1446a81a3b9a0d6
151e5a8d928be45
hexe7220d12e0dc

254133434245340 has 96 divisors (see below), whose sum is σ = 599075787234624. Its totient is φ = 89935178065920.

The previous prime is 254133434245309. The next prime is 254133434245349. The reversal of 254133434245340 is 43542434331452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254133434245349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196498721 + ... + 197787800.

It is an arithmetic number, because the mean of its divisors is an integer number (6240372783694).

Almost surely, 2254133434245340 is an apocalyptic number.

254133434245340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254133434245340 is an abundant number, since it is smaller than the sum of its proper divisors (344942352989284).

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

254133434245340 is a wasteful number, since it uses less digits than its factorization.

254133434245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394286647 (or 394286645 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 47.

Adding to 254133434245340 its reverse (43542434331452), we get a palindrome (297675868576792).

The spelling of 254133434245340 in words is "two hundred fifty-four trillion, one hundred thirty-three billion, four hundred thirty-four million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 67 74 130 134 148 185 260 268 335 370 481 670 740 871 962 1340 1742 1924 2405 2479 3484 4355 4810 4958 8710 9620 9916 12395 17420 24790 32227 49580 64454 128908 161135 322270 644540 394286521 788573042 1577146084 1971432605 3942865210 5125724773 7885730420 10251449546 14588601277 20502899092 25628623865 26417196907 29177202554 51257247730 52834393814 58354405108 72943006385 102514495460 105668787628 132085984535 145886012770 189651816601 264171969070 291772025540 343423559791 379303633202 528343938140 686847119582 758607266404 948259083005 977436285559 1373694239164 1717117798955 1896518166010 1954872571118 3434235597910 3793036332020 3909745142236 4887181427795 6868471195820 9774362855590 12706671712267 19548725711180 25413343424534 50826686849068 63533358561335 127066717122670 254133434245340