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31213040144 = 24111316781689
BaseRepresentation
bin11101000100011100…
…010011001000010000
32222120021211201121212
4131010130103020100
51002411014241034
622201123435252
72153326315016
oct350434231020
988507751555
1031213040144
1112267a47050
126071225b28
132c357a3b30
1417215b08b6
15c2a38d2ce
hex744713210

31213040144 has 80 divisors (see below), whose sum is σ = 71474175360. Its totient is φ = 13017799680.

The previous prime is 31213040099. The next prime is 31213040239. The reversal of 31213040144 is 44104031213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341252 + ... + 422940.

It is an arithmetic number, because the mean of its divisors is an integer number (893427192).

Almost surely, 231213040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35737087680).

31213040144 is an abundant number, since it is smaller than the sum of its proper divisors (40261135216).

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

31213040144 is a wasteful number, since it uses less digits than its factorization.

31213040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81888 (or 81882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31213040144 its reverse (44104031213), we get a palindrome (75317071357).

The spelling of 31213040144 in words is "thirty-one billion, two hundred thirteen million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 167 176 208 286 334 572 668 1144 1336 1837 2171 2288 2672 3674 4342 7348 8684 14696 17368 23881 29392 34736 47762 81689 95524 163378 191048 326756 382096 653512 898579 1061957 1307024 1797158 2123914 3594316 4247828 7188632 8495656 11681527 13642063 14377264 16991312 23363054 27284126 46726108 54568252 93452216 109136504 150062693 177346819 186904432 218273008 300125386 354693638 600250772 709387276 1200501544 1418774552 1950815009 2401003088 2837549104 3901630018 7803260036 15606520072 31213040144