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143132135142240 = 25325297247334393
BaseRepresentation
bin100000100010110110001100…
…000100100011001101100000
3200202210022001121002112012100
4200202312030010203031200
5122230034103044022430
61224225554541130400
742101645511521046
oct4042661404431540
9622708047075170
10143132135142240
1141673aa7928012
1214077b72559a00
1361b33c15886aa
14274b8bd086396
1511832de24d960
hex822d8c123360

143132135142240 has 144 divisors (see below), whose sum is σ = 488441515056768. Its totient is φ = 38168326821888.

The previous prime is 143132135142239. The next prime is 143132135142307. The reversal of 143132135142240 is 42241531231341.

143132135142240 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 3 + 21 + 351 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1431321351422402 (a number of 29 digits) contains 22 as substring.

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 = 143132135142195 and 143132135142204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427868484 + ... + 428202876.

It is an arithmetic number, because the mean of its divisors is an integer number (3391954965672).

Almost surely, 2143132135142240 is an apocalyptic number.

143132135142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143132135142240 is an abundant number, since it is smaller than the sum of its proper divisors (345309379914528).

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

143132135142240 is a wasteful number, since it uses less digits than its factorization.

143132135142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631661 (or 631650 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 143132135142240 its reverse (42241531231341), we get a palindrome (185373666373581).

The spelling of 143132135142240 in words is "one hundred forty-three trillion, one hundred thirty-two billion, one hundred thirty-five million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 297247 334393 594494 668786 891741 1003179 1188988 1337572 1486235 1671965 1783482 2006358 2377976 2675144 2675223 2972470 3009537 3343930 3566964 4012716 4458705 4755952 5015895 5350288 5350446 5944940 6019074 6687860 7133928 8025432 8917410 9511904 10031790 10700576 10700892 11889880 12038148 13375720 13376115 14267856 15047685 16050864 17834820 20063580 21401784 23779760 24076296 26751440 26752230 28535712 30095370 32101728 35669640 40127160 42803568 47559520 48152592 53502880 53504460 60190740 71339280 80254320 85607136 96305184 107008920 120381480 142678560 160508640 214017840 240762960 428035680 481525920 99397316071 198794632142 298191948213 397589264284 496986580355 596383896426 795178528568 894575844639 993973160710 1192767792852 1490959741065 1590357057136 1789151689278 1987946321420 2385535585704 2981919482130 3180714114272 3578303378556 3975892642840 4472879223195 4771071171408 5963838964260 7156606757112 7951785285680 8945758446390 9542142342816 11927677928520 14313213514224 15903570571360 17891516892780 23855355857040 28626427028448 35783033785560 47710711714080 71566067571120 143132135142240