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131331130440 = 23351969718263
BaseRepresentation
bin111101001001111110…
…0100000010001001000
3110112222200200200022020
41322103330200101020
54122431232133230
6140155505524440
712326336122056
oct1722374402110
9415880620266
10131331130440
1150773aaa134
1221552643720
13c4cc8bc193
1464dc1b11d6
153639b52810
hex1e93f20448

131331130440 has 128 divisors (see below), whose sum is σ = 414839577600. Its totient is φ = 33169616640.

The previous prime is 131331130439. The next prime is 131331130477. The reversal of 131331130440 is 44031133131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131331130440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15889749 + ... + 15898011.

It is an arithmetic number, because the mean of its divisors is an integer number (3240934200).

Almost surely, 2131331130440 is an apocalyptic number.

131331130440 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 131331130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207419788800).

131331130440 is an abundant number, since it is smaller than the sum of its proper divisors (283508447160).

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

131331130440 is a wasteful number, since it uses less digits than its factorization.

131331130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131331130440 its reverse (44031133131), we get a palindrome (175362263571).

The spelling of 131331130440 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6971 8263 13942 16526 20913 24789 27884 33052 34855 41315 41826 49578 55768 66104 69710 82630 83652 99156 104565 123945 132449 139420 156997 165260 167304 198312 209130 247890 264898 278840 313994 330520 397347 418260 470991 495780 529796 627988 662245 784985 794694 836520 941982 991560 1059592 1255976 1324490 1569970 1589388 1883964 1986735 2354955 2648980 3139940 3178776 3767928 3973470 4709910 5297960 6279880 7946940 9419820 15893880 18839640 57601373 115202746 172804119 230405492 288006865 345608238 460810984 576013730 691216476 864020595 1094426087 1152027460 1382432952 1728041190 2188852174 2304054920 3283278261 3456082380 4377704348 5472130435 6566556522 6912164760 8755408696 10944260870 13133113044 16416391305 21888521740 26266226088 32832782610 43777043480 65665565220 131331130440