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2134336401351 = 327113998377029
BaseRepresentation
bin11111000011110000010…
…111001110111111000111
321120001002120111002221100
4133003300113032333013
5234432110104320401
64312300044151143
7310125563034660
oct37036027167707
97501076432840
102134336401351
11753192290490
122a5794b384b3
13126361961c5b
1475433c3a367
153a7bb8b5b86
hex1f0f05cefc7

2134336401351 has 48 divisors (see below), whose sum is σ = 3843799464960. Its totient is φ = 1108704058560.

The previous prime is 2134336401341. The next prime is 2134336401397. The reversal of 2134336401351 is 1531046334312.

2134336401351 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 3 + 640 + 1 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 2134336401351 - 26 = 2134336401287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134336401341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27669705 + ... + 27746733.

It is an arithmetic number, because the mean of its divisors is an integer number (80079155520).

Almost surely, 22134336401351 is an apocalyptic number.

2134336401351 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2134336401351 is a deficient number, since it is larger than the sum of its proper divisors (1709463063609).

2134336401351 is a wasteful number, since it uses less digits than its factorization.

2134336401351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117036 (or 117033 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2134336401351 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-six million, four hundred one thousand, three hundred fifty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 39983 77029 119949 231087 279881 359847 439813 539203 693261 839643 847319 1319439 1617609 2518929 2541957 3078691 3958317 4852827 5931233 7625871 9236073 17793699 27708219 53381097 3079850507 9239551521 21558953549 27718654563 33878355577 64676860647 101635066731 194030581941 237148489039 304905200193 711445467117 2134336401351