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131224134040 = 23571263175687
BaseRepresentation
bin111101000110110010…
…0010110000110011000
3110112201020100200211121
41322031210112012120
54122221334242130
6140141124335024
712323566510156
oct1721544260630
9415636320747
10131224134040
115071966a15a
1221522844474
13c4b3698cbc
1464cbcbc3d6
153630569d7a
hex1e8d916198

131224134040 has 64 divisors (see below), whose sum is σ = 300552975360. Its totient is φ = 51553299840.

The previous prime is 131224134017. The next prime is 131224134047. The reversal of 131224134040 is 40431422131.

It is a junction number, because it is equal to n+sod(n) for n = 131224133996 and 131224134014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131224134047) 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 15 ways as a sum of consecutive naturals, for example, 659077 + ... + 834763.

It is an arithmetic number, because the mean of its divisors is an integer number (4696140240).

Almost surely, 2131224134040 is an apocalyptic number.

131224134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150276487680).

131224134040 is an abundant number, since it is smaller than the sum of its proper divisors (169328841320).

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

131224134040 is a wasteful number, since it uses less digits than its factorization.

131224134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176032 (or 176028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 131224134040 its reverse (40431422131), we get a palindrome (171655556171).

The spelling of 131224134040 in words is "one hundred thirty-one billion, two hundred twenty-four million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 263 284 355 526 568 710 1052 1315 1420 2104 2630 2840 5260 10520 18673 37346 74692 93365 149384 175687 186730 351374 373460 702748 746920 878435 1405496 1756870 3513740 7027480 12473777 24947554 46205681 49895108 62368885 92411362 99790216 124737770 184822724 231028405 249475540 369645448 462056810 498951080 924113620 1848227240 3280603351 6561206702 13122413404 16403016755 26244826808 32806033510 65612067020 131224134040