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134421191578401 = 372133110312200831
BaseRepresentation
bin11110100100000101011111…
…010111111101001100100001
3122121221112120221222002012220
4132210011133113331030201
5120104324100021002101
61153520124245141253
740212416303104200
oct3644053727751441
9577845527862186
10134421191578401
1139915786324752
12130ab8890ba829
135a00b301cca50
14252a03dd23237
15108190c5dd636
hex7a415f5fd321

134421191578401 has 96 divisors (see below), whose sum is σ = 231995440889856. Its totient is φ = 68549692176000.

The previous prime is 134421191578393. The next prime is 134421191578411. The reversal of 134421191578401 is 104875191124431.

It is not a de Polignac number, because 134421191578401 - 23 = 134421191578393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134421191578411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59977056 + ... + 62177886.

It is an arithmetic number, because the mean of its divisors is an integer number (2416619175936).

Almost surely, 2134421191578401 is an apocalyptic number.

It is an amenable number.

134421191578401 is a deficient number, since it is larger than the sum of its proper divisors (97574249311455).

134421191578401 is a wasteful number, since it uses less digits than its factorization.

134421191578401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201923 (or 2201916 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 134421191578401 in words is "one hundred thirty-four trillion, four hundred twenty-one billion, one hundred ninety-one million, five hundred seventy-eight thousand, four hundred one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 651 1031 1209 1519 1911 2821 3093 4557 7217 8463 13403 19747 21651 31961 40209 50519 59241 93821 95883 151557 223727 281463 415493 656747 671181 1246479 1566089 1970241 2200831 2908451 4698267 6602493 8725353 15405817 20359157 28610803 46217451 61077471 68225761 85832409 107840719 200275621 204677283 323522157 477580327 600826863 886934893 1401929347 1432740981 2269056761 2660804679 3343062289 4205788041 6208544251 6807170283 10029186867 15883397327 18625632753 29497737893 43459809757 47650191981 70340759591 88493213679 111183781289 130379429271 206484165251 211022278773 333551343867 492385317137 619452495753 914429874683 1445389156757 1477155951411 2743289624049 3446697219959 4336167470271 6401009122781 10340091659877 19203027368343 44807063859467 134421191578401