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131444214440 = 23571142676693
BaseRepresentation
bin111101001101010101…
…1111000101010101000
3110120021120110221101112
41322122223320222220
54123144204330230
6140215025405452
712332211250040
oct1723253705250
9416246427345
10131444214440
1150821917890
1221584499888
13c51a1641a6
14650d20a720
153644a3dd95
hex1e9aaf8aa8

131444214440 has 64 divisors (see below), whose sum is σ = 368726636160. Its totient is φ = 40969624320.

The previous prime is 131444214367. The next prime is 131444214493. The reversal of 131444214440 is 44412444131.

It is a junction number, because it is equal to n+sod(n) for n = 131444214397 and 131444214406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21335267 + ... + 21341426.

It is an arithmetic number, because the mean of its divisors is an integer number (5761353690).

Almost surely, 2131444214440 is an apocalyptic number.

131444214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444214440 is an abundant number, since it is smaller than the sum of its proper divisors (237282421720).

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

131444214440 is a wasteful number, since it uses less digits than its factorization.

131444214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42676722 (or 42676718 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 131444214440 its reverse (44412444131), we get a palindrome (175856658571).

The spelling of 131444214440 in words is "one hundred thirty-one billion, four hundred forty-four million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 42676693 85353386 170706772 213383465 298736851 341413544 426766930 469443623 597473702 853533860 938887246 1194947404 1493684255 1707067720 1877774492 2347218115 2389894808 2987368510 3286105361 3755548984 4694436230 5974737020 6572210722 9388872460 11949474040 13144421444 16430526805 18777744920 26288842888 32861053610 65722107220 131444214440