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2134541410452 = 2234114191429397
BaseRepresentation
bin11111000011111100100…
…101010010000010010100
321120001121212020122120000
4133003330211102002110
5234433020100113302
64312332250211300
7310133632424103
oct37037445220224
97501555218500
102134541410452
11753287a848a0
122a5831723b30
13126395281209
147545316403a
153a7ce8ae31c
hex1f0fc952094

2134541410452 has 120 divisors (see below), whose sum is σ = 6101928534240. Its totient is φ = 645286530240.

The previous prime is 2134541410423. The next prime is 2134541410549. The reversal of 2134541410452 is 2540141454312.

2134541410452 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 541 + 4 + 104 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 778618 + ... + 2208014.

It is an arithmetic number, because the mean of its divisors is an integer number (50849404452).

Almost surely, 22134541410452 is an apocalyptic number.

2134541410452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134541410452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050964267120).

2134541410452 is an abundant number, since it is smaller than the sum of its proper divisors (3967387123788).

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

2134541410452 is a wasteful number, since it uses less digits than its factorization.

2134541410452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429843 (or 1429832 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2134541410452 its reverse (2540141454312), we get a palindrome (4674682864764).

The spelling of 2134541410452 in words is "two trillion, one hundred thirty-four billion, five hundred forty-one million, four hundred ten thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 419 594 838 891 1188 1257 1676 1782 2514 3564 3771 4609 5028 7542 9218 11313 13827 15084 18436 22626 27654 33939 41481 45252 55308 67878 82962 124443 135756 165924 248886 373329 497772 746658 1429397 1493316 2858794 4288191 5717588 8576382 12864573 15723367 17152764 25729146 31446734 38593719 47170101 51458292 62893468 77187438 94340202 115781157 141510303 154374876 188680404 231562314 283020606 424530909 463124628 566041212 598917343 849061818 1197834686 1273592727 1698123636 1796752029 2395669372 2547185454 3593504058 5094370908 5390256087 6588090773 7187008116 10780512174 13176181546 16170768261 19764272319 21561024348 26352363092 32341536522 39528544638 48512304783 59292816957 64683073044 79057089276 97024609566 118585633914 177878450871 194049219132 237171267828 355756901742 533635352613 711513803484 1067270705226 2134541410452