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31212344142 = 2347130721059
BaseRepresentation
bin11101000100011001…
…101001001101001110
32222120020112100220000
4131010121221031032
51002410330003032
622201100505130
72153320355610
oct350431511516
988506470800
1031212344142
1112267611141
126070b4b1a6
132c355bc0b5
14172146cdb0
15c2a2a1e7c
hex74466934e

31212344142 has 80 divisors (see below), whose sum is σ = 79994977920. Its totient is φ = 8910566352.

The previous prime is 31212344117. The next prime is 31212344147. The reversal of 31212344142 is 24144321213.

31212344142 is a `hidden beast` number, since 3 + 1 + 212 + 3 + 441 + 4 + 2 = 666.

It is a super-3 number, since 3×312123441423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212344147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1471609 + ... + 1492667.

It is an arithmetic number, because the mean of its divisors is an integer number (999937224).

Almost surely, 231212344142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212344142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997488960).

31212344142 is an abundant number, since it is smaller than the sum of its proper divisors (48782633778).

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

31212344142 is a wasteful number, since it uses less digits than its factorization.

31212344142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22387 (or 22378 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 31212344142 its reverse (24144321213), we get a palindrome (55356665355).

The spelling of 31212344142 in words is "thirty-one billion, two hundred twelve million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1307 2614 3921 7842 9149 11763 18298 21059 23526 27447 35289 42118 54894 63177 70578 82341 105867 126354 147413 164682 189531 211734 247023 294826 379062 442239 494046 568593 741069 884478 1137186 1326717 1482138 1705779 2653434 3411558 3980151 7960302 11940453 23880906 27524113 55048226 82572339 165144678 192668791 247717017 385337582 495434034 578006373 743151051 1156012746 1486302102 1734019119 2229453153 3468038238 4458906306 5202057357 10404114714 15606172071 31212344142