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4134543314120 = 235251667961657
BaseRepresentation
bin111100001010100101111…
…111000100110011001000
3112122020222102200012212022
4330022211333010303020
51020220021042022440
612443214420104012
7604465560211202
oct74124577046310
915566872605768
104134543314120
1113544a4a0595a
12569376235008
1323cb69030bcb
14104181d8b772
1572837b15cb5
hex3c2a5fc4cc8

4134543314120 has 64 divisors (see below), whose sum is σ = 9341334979200. Its totient is φ = 1646955072000.

The previous prime is 4134543314119. The next prime is 4134543314149. The reversal of 4134543314120 is 214133454314.

4134543314120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67026332 + ... + 67087988.

It is an arithmetic number, because the mean of its divisors is an integer number (145958359050).

Almost surely, 24134543314120 is an apocalyptic number.

4134543314120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134543314120 is an abundant number, since it is smaller than the sum of its proper divisors (5206791665080).

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

4134543314120 is a wasteful number, since it uses less digits than its factorization.

4134543314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68598 (or 68594 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 4134543314120 its reverse (214133454314), we get a palindrome (4348676768434).

The spelling of 4134543314120 in words is "four trillion, one hundred thirty-four billion, five hundred forty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251 502 1004 1255 2008 2510 5020 6679 10040 13358 26716 33395 53432 61657 66790 123314 133580 246628 267160 308285 493256 616570 1233140 1676429 2466280 3352858 6705716 8382145 13411432 15475907 16764290 30951814 33528580 61903628 67057160 77379535 123807256 154759070 309518140 411807103 619036280 823614206 1647228412 2059035515 3294456824 4118071030 8236142060 16472284120 103363582853 206727165706 413454331412 516817914265 826908662824 1033635828530 2067271657060 4134543314120