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131321443404420 = 223251489859756993
BaseRepresentation
bin11101110110111110100111…
…111111000100101010000100
3122012222012121011220112212200
4131312332213333010222010
5114203032304002420140
61143144123244114500
736442442534260203
oct3566764777045204
9565865534815780
10131321443404420
1138930125293555
121288ab85835a30
1358377360c1cb9
14245ddc55dd23a
15102ae8ad05030
hex776fa7fc4a84

131321443404420 has 144 divisors (see below), whose sum is σ = 398662595538480. Its totient is φ = 34990848442368.

The previous prime is 131321443404419. The next prime is 131321443404427. The reversal of 131321443404420 is 24404344123131.

131321443404420 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 214 + 434 + 0 + 4 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 448621323264 + 130872822081156 = 669792^2 + 11439966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131321443404427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304139444 + ... + 2304196436.

It is an arithmetic number, because the mean of its divisors is an integer number (2768490246795).

Almost surely, 2131321443404420 is an apocalyptic number.

131321443404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321443404420 is an abundant number, since it is smaller than the sum of its proper divisors (267341152134060).

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

131321443404420 is a wasteful number, since it uses less digits than its factorization.

131321443404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67094 (or 67089 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131321443404420 its reverse (24404344123131), we get a palindrome (155725787527551).

The spelling of 131321443404420 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, four hundred forty-three million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1489 2978 4467 5956 7445 8597 8934 13401 14890 17194 17868 22335 25791 26802 29780 34388 42985 44670 51582 53604 56993 67005 77373 85970 89340 103164 113986 128955 134010 154746 170979 171940 227972 257910 268020 284965 309492 341958 386865 512937 515820 569930 683916 773730 854895 1025874 1139860 1547460 1709790 2051748 2564685 3419580 5129370 10258740 12800933 25601866 38402799 51203732 64004665 76805598 84862577 115208397 128009330 153611196 169725154 192013995 230416794 254587731 256018660 339450308 384027990 424312885 460833588 489968821 509175462 576041985 763763193 768055980 848625770 979937642 1018350924 1152083970 1272938655 1469906463 1527526386 1697251540 1959875284 2304167940 2449844105 2545877310 2939812926 3055052772 3818815965 4409719389 4899688210 5091754620 5879625852 7349532315 7637631930 8819438778 9799376420 14699064630 15275263860 17638877556 22048596945 29398129260 44097193890 88194387780 729563574469 1459127148938 2188690723407 2918254297876 3647817872345 4377381446814 6566072170221 7295635744690 8754762893628 10943453617035 13132144340442 14591271489380 21886907234070 26264288680884 32830360851105 43773814468140 65660721702210 131321443404420