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31341142014 = 23713383149873
BaseRepresentation
bin11101001100000100…
…111101111111111110
32222220012212222100120
4131030010331333332
51003141313021024
622221541235410
72156443211610
oct351404757776
988805788316
1031341142014
1112323291966
1260a8102b66
132c561a6660
1417345d8db0
15c36744479
hex74c13dffe

31341142014 has 64 divisors (see below), whose sum is σ = 77349371904. Its totient is φ = 8244158976.

The previous prime is 31341141943. The next prime is 31341142051. The reversal of 31341142014 is 41024114313.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 134182 + ... + 284054.

It is an arithmetic number, because the mean of its divisors is an integer number (1208583936).

Almost surely, 231341142014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341142014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38674685952).

31341142014 is an abundant number, since it is smaller than the sum of its proper divisors (46008229890).

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

31341142014 is a wasteful number, since it uses less digits than its factorization.

31341142014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150281.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31341142014 its reverse (41024114313), we get a palindrome (72365256327).

The spelling of 31341142014 in words is "thirty-one billion, three hundred forty-one million, one hundred forty-two thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 383 546 766 1149 2298 2681 4979 5362 8043 9958 14937 16086 29874 34853 69706 104559 149873 209118 299746 449619 899238 1049111 1948349 2098222 3147333 3896698 5845047 6294666 11690094 13638443 27276886 40915329 57401359 81830658 114802718 172204077 344408154 401809513 746217667 803619026 1205428539 1492435334 2238653001 2410857078 4477306002 5223523669 10447047338 15670571007 31341142014