Search a number
-
+
314171002540725 = 35211719529643027
BaseRepresentation
bin100011101101111001010001…
…1000000010101001010110101
31112012101110021100022200001220
41013123302203000111022311
5312134334203122300400
63032104055513140553
7123114051214561101
oct10733624300251265
91465343240280056
10314171002540725
11911171a0570a30
122b2a05410ba759
131063c276bcc5b5
145781d59b4a901
15264c4970db7a0
hex11dbca30152b5

314171002540725 has 48 divisors (see below), whose sum is σ = 567438354478080. Its totient is φ = 152113477067200.

The previous prime is 314171002540721. The next prime is 314171002540729. The reversal of 314171002540725 is 527045200171413.

It is an interprime number because it is at equal distance from previous prime (314171002540721) and next prime (314171002540729).

It is not a de Polignac number, because 314171002540725 - 22 = 314171002540721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314171002540721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264228339 + ... + 265414688.

It is an arithmetic number, because the mean of its divisors is an integer number (11821632384960).

Almost surely, 2314171002540725 is an apocalyptic number.

It is an amenable number.

314171002540725 is a deficient number, since it is larger than the sum of its proper divisors (253267351937355).

314171002540725 is a wasteful number, since it uses less digits than its factorization.

314171002540725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529643770 (or 529643765 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 314171002540725 in words is "three hundred fourteen trillion, one hundred seventy-one billion, two million, five hundred forty thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 719 825 2157 3595 7909 10785 17975 23727 39545 53925 118635 197725 593175 529643027 1588929081 2648215135 5826073297 7944645405 13241075675 17478219891 29130366485 39723227025 87391099455 145651832425 380813336413 436955497275 1142440009239 1904066682065 4188946700543 5712200046195 9520333410325 12566840101629 20944733502715 28561000230975 62834200508145 104723667513575 314171002540725