Search a number
-
+
403034322401325 = 34521711707605589
BaseRepresentation
bin101101110100011101011110…
…1100111100111100000101101
31221212000201000220012000220000
41123220322331213213200231
5410311303243013320300
63545103224530414513
7150615161140531416
oct13350727547474055
91855021026160800
10403034322401325
11107467994a044aa
1239252903131439
13143b6c86aa6664
147174d72a6480d
15318dcaaba7c00
hex16e8ebd9e782d

403034322401325 has 60 divisors (see below), whose sum is σ = 790474114225620. Its totient is φ = 202307424560640.

The previous prime is 403034322401323. The next prime is 403034322401369. The reversal of 403034322401325 is 523104223430304.

403034322401325 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 3 + 4 + 322 + 4 + 0 + 1 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13884014967876 + 389150307433449 = 3726126^2 + 19726893^2 .

It is not a de Polignac number, because 403034322401325 - 21 = 403034322401323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 403034322401325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403034322401323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5853768370 + ... + 5853837219.

It is an arithmetic number, because the mean of its divisors is an integer number (13174568570427).

Almost surely, 2403034322401325 is an apocalyptic number.

403034322401325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

403034322401325 is a deficient number, since it is larger than the sum of its proper divisors (387439791824295).

403034322401325 is a wasteful number, since it uses less digits than its factorization.

403034322401325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707605628 (or 11707605614 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 403034322401325 its reverse (523104223430304), we get a palindrome (926138545831629).

The spelling of 403034322401325 in words is "four hundred three trillion, thirty-four billion, three hundred twenty-two million, four hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 675 765 1275 1377 2025 2295 3825 6885 11475 34425 11707605589 35122816767 58538027945 105368450301 175614083835 199029295013 292690139725 316105350903 526842251505 597087885039 878070419175 948316052709 995146475065 1580526754515 1791263655117 2634211257525 2985439425195 4741580263545 4975732375325 5373790965351 7902633772575 8956318275585 14927197125975 16121372896053 23707901317725 26868954826755 44781591377925 80606864480265 134344774133775 403034322401325