Search a number
-
+
5401120113414 = 233432638844349
BaseRepresentation
bin100111010011000101111…
…0110001000001100000110
3201010100020100101011011000
41032212023312020030012
51201442443222112124
615253123524354130
71065134535320004
oct116461366101406
921110210334130
105401120113414
1117a2669551723
12732934245946
133024287a61bc
141495b6601a74
15957676256c9
hex4e98bd88306

5401120113414 has 64 divisors (see below), whose sum is σ = 12328316352000. Its totient is φ = 1751817697056.

The previous prime is 5401120113413. The next prime is 5401120113439. The reversal of 5401120113414 is 4143110211045.

It is a happy number.

5401120113414 is a `hidden beast` number, since 5 + 40 + 1 + 1 + 201 + 1 + 3 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401120113413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3811489 + ... + 5032860.

It is an arithmetic number, because the mean of its divisors is an integer number (192629943000).

Almost surely, 25401120113414 is an apocalyptic number.

5401120113414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5401120113414 is an abundant number, since it is smaller than the sum of its proper divisors (6927196238586).

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

5401120113414 is a wasteful number, since it uses less digits than its factorization.

5401120113414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844666 (or 8844660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 5401120113414 its reverse (4143110211045), we get a palindrome (9544230324459).

The spelling of 5401120113414 in words is "five trillion, four hundred one billion, one hundred twenty million, one hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 263 387 526 774 789 1161 1578 2322 2367 4734 7101 11309 14202 22618 33927 67854 101781 203562 305343 610686 8844349 17688698 26533047 53066094 79599141 159198282 238797423 380307007 477594846 760614014 1140921021 2281842042 2326063787 3422763063 4652127574 6845526126 6978191361 10268289189 13956382722 20536578378 20934574083 41869148166 62803722249 100020742841 125607444498 200041485682 300062228523 600124457046 900186685569 1800373371138 2700560056707 5401120113414