Search a number
-
+
139311830025 = 325214921672
BaseRepresentation
bin1000000110111110100…
…0011101010000001001
3111022120212210020000100
42001233220131100021
54240302312030100
6143555440000013
713031164005564
oct2015750352011
9438525706010
10139311830025
1154099994925
1222bbb300009
13101a2135424
146a580934db
1539555d9400
hex206fa1d409

139311830025 has 81 divisors (see below), whose sum is σ = 252722108821. Its totient is φ = 73359065280.

The previous prime is 139311830023. The next prime is 139311830057. The reversal of 139311830025 is 520038113931.

The square root of 139311830025 is 373245.

It is a perfect power (a square), and thus also a powerful number.

139311830025 is a `hidden beast` number, since 1 + 39 + 311 + 8 + 300 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41578064649 + 97733765376 = 203907^2 + 312624^2 .

It is not a de Polignac number, because 139311830025 - 21 = 139311830023 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139311830023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 834202492 + ... + 834202658.

Almost surely, 2139311830025 is an apocalyptic number.

139311830025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

139311830025 is the 373245-th square number.

139311830025 is the 186623-rd centered octagonal number.

It is an amenable number.

139311830025 is a deficient number, since it is larger than the sum of its proper divisors (113410278796).

139311830025 is an equidigital number, since it uses as much as digits as its factorization.

139311830025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 139311830025 by its sum of digits (36), we get a square (5015225880900 = 22394702).

Adding to 139311830025 its reverse (520038113931), we get a palindrome (659349943956).

The spelling of 139311830025 in words is "one hundred thirty-nine billion, three hundred eleven million, eight hundred thirty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 149 167 225 447 501 745 835 1341 1503 2235 2505 3725 4175 6705 7515 11175 12525 22201 24883 27889 33525 37575 66603 74649 83667 111005 124415 139445 199809 223947 251001 333015 373245 418335 555025 622075 697225 999045 1119735 1255005 1665075 1866225 2091675 3707567 4155461 4995225 5598675 6275025 11122701 12466383 18537835 20777305 33368103 37399149 55613505 62331915 92689175 103886525 166840515 186995745 278067525 311659575 619163689 834202575 934978725 1857491067 3095818445 5572473201 9287455335 15479092225 27862366005 46437276675 139311830025