Search a number
-
+
254131443540420 = 22355971788543373
BaseRepresentation
bin111001110010000110010110…
…011010110010000111000100
31020022210201200020200201110020
4321302012112122302013010
5231302142144021243140
62300254212400055140
7104346251035514055
oct7162062632620704
91208721606621406
10254131443540420
1173a795a375a446
12246044623044b0
13aba5652766a24
1446a805564072c
151e5a81e6136d0
hexe721966b21c4

254131443540420 has 48 divisors (see below), whose sum is σ = 723628517209920. Its totient is φ = 66619768249216.

The previous prime is 254131443540409. The next prime is 254131443540421. The reversal of 254131443540420 is 24045344131452.

It is not an unprimeable number, because it can be changed into a prime (254131443540421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35894268147 + ... + 35894275226.

It is an arithmetic number, because the mean of its divisors is an integer number (15075594108540).

Almost surely, 2254131443540420 is an apocalyptic number.

254131443540420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254131443540420 is an abundant number, since it is smaller than the sum of its proper divisors (469497073669500).

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

254131443540420 is a wasteful number, since it uses less digits than its factorization.

254131443540420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71788543444 (or 71788543442 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 254131443540420 its reverse (24045344131452), we get a palindrome (278176787671872).

The spelling of 254131443540420 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, four hundred forty-three million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 71788543373 143577086746 215365630119 287154173492 358942716865 430731260238 717885433730 861462520476 1076828150595 1435770867460 2153656301190 4235524059007 4307312602380 8471048118014 12706572177021 16942096236028 21177620295035 25413144354042 42355240590070 50826288708084 63532860885105 84710481180140 127065721770210 254131443540420