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131201404323440 = 24511273185669371
BaseRepresentation
bin11101110101001110110101…
…000110010100011001110000
3122012112201202110012102100112
4131311032311012110121300
5114144100434001322230
61143013032034040452
736430663052025113
oct3565166506243160
9565481673172315
10131201404323440
1138894226366300
121286b864a19128
135829315aa34b9
14245827900257a
151027cb26ced95
hex7753b5194670

131201404323440 has 120 divisors (see below), whose sum is σ = 339888580415664. Its totient is φ = 47056045132800.

The previous prime is 131201404323439. The next prime is 131201404323497. The reversal of 131201404323440 is 44323404102131.

It is a junction number, because it is equal to n+sod(n) for n = 131201404323397 and 131201404323406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92128046 + ... + 93541325.

Almost surely, 2131201404323440 is an apocalyptic number.

131201404323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201404323440 is an abundant number, since it is smaller than the sum of its proper divisors (208687176092224).

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

131201404323440 is a wasteful number, since it uses less digits than its factorization.

131201404323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185669479 (or 185669462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131201404323440 its reverse (44323404102131), we get a palindrome (175524808425571).

The spelling of 131201404323440 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 121 146 176 220 242 292 365 440 484 584 605 730 803 880 968 1168 1210 1460 1606 1936 2420 2920 3212 4015 4840 5840 6424 8030 8833 9680 12848 16060 17666 32120 35332 44165 64240 70664 88330 141328 176660 353320 706640 185669371 371338742 742677484 928346855 1485354968 1856693710 2042363081 2970709936 3713387420 4084726162 7426774840 8169452324 10211815405 13553864083 14853549680 16338904648 20423630810 22465993891 27107728166 32677809296 40847261620 44931987782 54215456332 67769320415 81694523240 89863975564 108430912664 112329969455 135538640830 149092504913 163389046480 179727951128 216861825328 224659938910 271077281660 298185009826 359455902256 449319877820 542154563320 596370019652 745462524565 898639755640 1084309126640 1192740039304 1490925049130 1640017554043 1797279511280 2385480078608 2981850098260 3280035108086 5963700196520 6560070216172 8200087770215 11927400393040 13120140432344 16400175540430 26240280864688 32800351080860 65600702161720 131201404323440