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134415443143040 = 2751719364012231
BaseRepresentation
bin11110100100000000001000…
…101111011010100110000000
3122121220222202100021022100112
4132210000020233122212000
5120104230311421034130
61153513334020210452
740212123662155343
oct3644001057324600
9577828670238315
10134415443143040
11399132a64a6124
12130aa743b39a28
135a004252a38c7
142529a566ba45a
1510816c2ae8495
hex7a4008bda980

134415443143040 has 128 divisors (see below), whose sum is σ = 342001992640320. Its totient is φ = 50341266063360.

The previous prime is 134415443143039. The next prime is 134415443143043. The reversal of 134415443143040 is 40341344514431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1344154431430402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134415443143043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29906276 + ... + 34105955.

Almost surely, 2134415443143040 is an apocalyptic number.

134415443143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134415443143040 is an abundant number, since it is smaller than the sum of its proper divisors (207586549497280).

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

134415443143040 is a wasteful number, since it uses less digits than its factorization.

134415443143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64012460 (or 64012448 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

Adding to 134415443143040 its reverse (40341344514431), we get a palindrome (174756787657471).

The spelling of 134415443143040 in words is "one hundred thirty-four trillion, four hundred fifteen billion, four hundred forty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 193 272 320 340 386 544 640 680 772 965 1088 1360 1544 1930 2176 2720 3088 3281 3860 5440 6176 6562 7720 10880 12352 13124 15440 16405 24704 26248 30880 32810 52496 61760 65620 104992 123520 131240 209984 262480 419968 524960 1049920 2099840 64012231 128024462 256048924 320061155 512097848 640122310 1024195696 1088207927 1280244620 2048391392 2176415854 2560489240 4096782784 4352831708 5120978480 5441039635 8193565568 8705663416 10241956960 10882079270 12354360583 17411326832 20483913920 21764158540 24708721166 34822653664 40967827840 43528317080 49417442332 61771802915 69645307328 87056634160 98834884664 123543605830 139290614656 174113268320 197669769328 210024129911 247087211660 348226536640 395339538656 420048259822 494174423320 696453073280 790679077312 840096519644 988348846640 1050120649555 1581358154624 1680193039288 1976697693280 2100241299110 3360386078576 3953395386560 4200482598220 6720772157152 7906790773120 8400965196440 13441544314304 16801930392880 26883088628608 33603860785760 67207721571520 134415443143040