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131422412431440 = 24335134680285343
BaseRepresentation
bin11101111000011100101010…
…001101010110000001010000
3122020022212012212221120022000
4131320130222031112001100
5114211211100040301230
61143302342304514000
736452645615656314
oct3570345215260120
9566285185846260
10131422412431440
1138969a28707a29
12128a666401b900
1358441075b5ac0
142464c43227b44
15102d8ea153b60
hex77872a356050

131422412431440 has 160 divisors (see below), whose sum is σ = 487498521431040. Its totient is φ = 32350132283904.

The previous prime is 131422412431439. The next prime is 131422412431507. The reversal of 131422412431440 is 44134214224131.

131422412431440 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 24 + 124 + 31 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131422412431395 and 131422412431404.

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, 2340114592 + ... + 2340170751.

It is an arithmetic number, because the mean of its divisors is an integer number (3046865758944).

Almost surely, 2131422412431440 is an apocalyptic number.

131422412431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131422412431440 is an abundant number, since it is smaller than the sum of its proper divisors (356076108999600).

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

131422412431440 is a wasteful number, since it uses less digits than its factorization.

131422412431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680285378 (or 4680285366 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131422412431440 its reverse (44134214224131), we get a palindrome (175556626655571).

The spelling of 131422412431440 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred twelve million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 4680285343 9360570686 14040856029 18721141372 23401426715 28081712058 37442282744 42122568087 46802853430 56163424116 60843709459 70204280145 74884565488 84245136174 93605706860 112326848232 121687418918 126367704261 140408560290 168490272348 182531128377 187211413720 210612840435 224653696464 243374837836 252735408522 280817120580 304218547295 336980544696 365062256754 374422827440 421225680870 486749675672 505470817044 547593385131 561634241160 608437094590 631838521305 673961089392 730124513508 842451361740 912655641885 973499351344 1010941634088 1095186770262 1123268482320 1216874189180 1263677042610 1460249027016 1642780155393 1684902723480 1825311283770 2021883268176 2190373540524 2433748378360 2527354085220 2737966925655 2920498054032 3285560310786 3369805446960 3650622567540 4380747081048 4867496756720 5054708170440 5475933851310 6571120621572 7301245135080 8213900776965 8761494162096 10109416340880 10951867702620 13142241243144 14602490270160 16427801553930 21903735405240 26284482486288 32855603107860 43807470810480 65711206215720 131422412431440