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131120143440440 = 235711173246077891
BaseRepresentation
bin11101110100000011001001…
…100100101001101000111000
3122012020222000020111212001012
4131310003021210221220320
5114141233023210043230
61142511432355213052
736422055246642560
oct3564031144515070
9565228006455035
10131120143440440
113886281674a160
1212857b668a7188
13582176567b38b
14245436aa09da0
151025b0869b395
hex7740c9929a38

131120143440440 has 128 divisors (see below), whose sum is σ = 369943659717120. Its totient is φ = 40632381196800.

The previous prime is 131120143440401. The next prime is 131120143440479. The reversal of 131120143440440 is 44044341021131.

It is an interprime number because it is at equal distance from previous prime (131120143440401) and next prime (131120143440479).

It is a junction number, because it is equal to n+sod(n) for n = 131120143440397 and 131120143440406.

It is a congruent number.

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, 122506106 + ... + 123571785.

It is an arithmetic number, because the mean of its divisors is an integer number (2890184841540).

Almost surely, 2131120143440440 is an apocalyptic number.

131120143440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131120143440440 is an abundant number, since it is smaller than the sum of its proper divisors (238823516276680).

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

131120143440440 is a wasteful number, since it uses less digits than its factorization.

131120143440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246078093 (or 246078089 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131120143440440 its reverse (44044341021131), we get a palindrome (175164484461571).

The spelling of 131120143440440 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred forty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 173 220 280 308 346 385 440 616 692 770 865 1211 1384 1540 1730 1903 2422 3080 3460 3806 4844 6055 6920 7612 9515 9688 12110 13321 15224 19030 24220 26642 38060 48440 53284 66605 76120 106568 133210 266420 532840 246077891 492155782 984311564 1230389455 1722545237 1968623128 2460778910 2706856801 3445090474 4921557820 5413713602 6890180948 8612726185 9843115640 10827427204 13534284005 13780361896 17225452370 18947997607 21654854408 27068568010 34450904740 37895995214 42571475143 54137136020 68901809480 75791990428 85142950286 94739988035 108274272040 151583980856 170285900572 189479976070 212857375715 298000326001 340571801144 378959952140 425714751430 468286226573 596000652002 757919904280 851429502860 936572453146 1192001304004 1490001630005 1702859005720 1873144906292 2341431132865 2384002608008 2980003260010 3278003586011 3746289812584 4682862265730 5960006520020 6556007172022 9365724531460 11920013040040 13112014344044 16390017930055 18731449062920 26224028688088 32780035860110 65560071720220 131120143440440