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31431340026 = 23219671578737
BaseRepresentation
bin11101010001011101…
…000010111111111010
310000010111121111202200
4131101131002333322
51003332410340101
622234522411030
72161616660562
oct352135027772
9100114544680
1031431340026
111236a198a79
126112360a76
132c6ba97768
141742597da2
15c3e60e986
hex751742ffa

31431340026 has 96 divisors (see below), whose sum is σ = 73227236160. Its totient is φ = 9714152448.

The previous prime is 31431340021. The next prime is 31431340027. The reversal of 31431340026 is 62004313413.

31431340026 is a `hidden beast` number, since 314 + 3 + 1 + 340 + 0 + 2 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (31431340021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3593130 + ... + 3601866.

It is an arithmetic number, because the mean of its divisors is an integer number (762783710).

Almost surely, 231431340026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431340026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36613618080).

31431340026 is an abundant number, since it is smaller than the sum of its proper divisors (41795896134).

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

31431340026 is a wasteful number, since it uses less digits than its factorization.

31431340026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31431340026 its reverse (62004313413), we get a palindrome (93435653439).

The spelling of 31431340026 in words is "thirty-one billion, four hundred thirty-one million, three hundred forty thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 157 171 201 314 342 402 471 603 942 1206 1273 1413 2546 2826 2983 3819 5966 7638 8737 8949 10519 11457 17474 17898 21038 22914 26211 26847 31557 52422 53694 63114 78633 94671 157266 166003 189342 199861 332006 399722 498009 585379 599583 996018 1170758 1199166 1371709 1494027 1756137 1798749 2743418 2988054 3512274 3597498 4115127 5268411 8230254 10536822 11122201 12345381 22244402 24690762 26062471 33366603 52124942 66733206 78187413 91904503 100099809 156374826 183809006 200199618 234562239 275713509 469124478 551427018 827140527 1654281054 1746185557 3492371114 5238556671 10477113342 15715670013 31431340026