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127000142640 = 24325725198441
BaseRepresentation
bin111011001000111001…
…1000110001100110000
3110010210212011200221200
41312101303012030300
54040044014031030
6134202033451200
712114116254350
oct1662163061460
9403725150850
10127000142640
11499512a6978
1220744110b00
13bc8c5401c7
14620acdcb60
1534847ebd60
hex1d91cc6330

127000142640 has 120 divisors (see below), whose sum is σ = 487438662048. Its totient is φ = 29028602880.

The previous prime is 127000142629. The next prime is 127000142653. The reversal of 127000142640 is 46241000721.

127000142640 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 0 + 0 + 14 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1270001426402 (a number of 23 digits) contains 22 as substring.

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, 12594181 + ... + 12604260.

Almost surely, 2127000142640 is an apocalyptic number.

127000142640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127000142640 is an abundant number, since it is smaller than the sum of its proper divisors (360438519408).

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

127000142640 is a wasteful number, since it uses less digits than its factorization.

127000142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198467 (or 25198458 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 127000142640 in words is "one hundred twenty-seven billion, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25198441 50396882 75595323 100793764 125992205 151190646 176389087 201587528 226785969 251984410 302381292 352778174 377976615 403175056 453571938 503968820 529167261 604762584 705556348 755953230 881945435 907143876 1007937640 1058334522 1133929845 1209525168 1411112696 1511906460 1587501783 1763890870 1814287752 2015875280 2116669044 2267859690 2645836305 2822225392 3023812920 3175003566 3527781740 3628575504 4233338088 4535719380 5291672610 6047625840 6350007132 7055563480 7937508915 8466676176 9071438760 10583345220 12700014264 14111126960 15875017830 18142877520 21166690440 25400028528 31750035660 42333380880 63500071320 127000142640