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131403022224440 = 235891051161321773
BaseRepresentation
bin11101111000001010100110…
…011101100100110000111000
3122020021000011112211222210012
4131320022212131210300320
5114210401342142140230
61143245414241241052
736451361246636501
oct3570124635446070
9566230145758705
10131403022224440
113896178841546a
12128a2952333188
135842337355335
142463d23d17ba8
15102d162bdc395
hex7782a6764c38

131403022224440 has 128 divisors (see below), whose sum is σ = 299462542603200. Its totient is φ = 51886612377600.

The previous prime is 131403022224401. The next prime is 131403022224457. The reversal of 131403022224440 is 44422220304131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131403022224397 and 131403022224406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6035125394 + ... + 6035147166.

Almost surely, 2131403022224440 is an apocalyptic number.

131403022224440 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 131403022224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149731271301600).

131403022224440 is an abundant number, since it is smaller than the sum of its proper divisors (168059520378760).

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

131403022224440 is a wasteful number, since it uses less digits than its factorization.

131403022224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24537 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131403022224440 its reverse (44422220304131), we get a palindrome (175825242528571).

The spelling of 131403022224440 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-two million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1051 1613 1780 2102 3226 3560 4204 5255 6452 8065 8408 10510 12904 16130 21020 21773 32260 42040 43546 64520 87092 93539 108865 143557 174184 187078 217730 287114 374156 435460 467695 574228 717785 748312 870920 935390 1148456 1435570 1695263 1870780 1937797 2871140 3390526 3741560 3875594 5742280 6781052 7751188 8476315 9688985 13562104 15502376 16952630 19377970 22883423 33905260 35119849 38755940 45766846 67810520 70239698 77511880 91533692 114417115 140479396 150878407 175599245 183067384 228834230 280958792 301756814 351198490 457668460 603513628 702396980 754392035 915336920 1207027256 1404793960 1508784070 2036624647 3017568140 3125666561 4073249294 6035136280 6251333122 8146498588 10183123235 12502666244 15628332805 16292997176 20366246470 25005332488 31256665610 36910961299 40732492940 62513331220 73821922598 81464985880 125026662440 147643845196 184554806495 295287690392 369109612990 738219225980 1476438451960 3285075555611 6570151111222 13140302222444 16425377778055 26280604444888 32850755556110 65701511112220 131403022224440