Search a number
-
+
140426401064625 = 3253139601805201
BaseRepresentation
bin11111111011011110010001…
…110000001010011010110001
3200102012122002100001221202100
4133323132101300022122301
5121401221232133032000
61214354555325411013
741402321061400014
oct3773362160123261
9612178070057670
10140426401064625
1140820558546215
12138bb6b1709a69
1360481ca917470
14269696194537b
151137c2daaca00
hex7fb791c0a6b1

140426401064625 has 48 divisors (see below), whose sum is σ = 272614453295184. Its totient is φ = 69132997440000.

The previous prime is 140426401064581. The next prime is 140426401064659. The reversal of 140426401064625 is 526460104624041.

140426401064625 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 6 + 4 + 0 + 10 + 6 + 4 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 105839404957584 + 34586996107041 = 10287828^2 + 5881071^2 .

It is not a de Polignac number, because 140426401064625 - 27 = 140426401064497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4800887976 + ... + 4800917225.

It is an arithmetic number, because the mean of its divisors is an integer number (5679467776983).

Almost surely, 2140426401064625 is an apocalyptic number.

140426401064625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140426401064625 is a deficient number, since it is larger than the sum of its proper divisors (132188052230559).

140426401064625 is a wasteful number, since it uses less digits than its factorization.

140426401064625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601805235 (or 9601805222 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 140426401064625 its reverse (526460104624041), we get a palindrome (666886505688666).

The spelling of 140426401064625 in words is "one hundred forty trillion, four hundred twenty-six billion, four hundred one million, sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 9601805201 28805415603 48009026005 86416246809 124823467613 144027078015 240045130025 374470402839 432081234045 624117338065 720135390075 1123411208517 1200225650125 1872352014195 2160406170225 3120586690325 3600676950375 5617056042585 9361760070975 10802030851125 15602933451625 28085280212925 46808800354875 140426401064625