Search a number
-
+
14031341120400 = 2435211692784267
BaseRepresentation
bin1100110000101110110100…
…0110100110101110010000
31211200101100021202211110120
43030023231012212232100
53314342141311323100
645501524212030240
72645505466442322
oct314135506465620
954611307684416
1014031341120400
11451a7272a228a
1216a744b902380
137aa1c41207c6
14367198a5d612
15194ec263b0a0
hexcc2ed1a6b90

14031341120400 has 60 divisors (see below), whose sum is σ = 44947062726192. Its totient is φ = 3741690965120.

The previous prime is 14031341120387. The next prime is 14031341120429. The reversal of 14031341120400 is 402114313041.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5846390934 + ... + 5846393333.

Almost surely, 214031341120400 is an apocalyptic number.

14031341120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14031341120400 is an abundant number, since it is smaller than the sum of its proper divisors (30915721605792).

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

14031341120400 is a wasteful number, since it uses less digits than its factorization.

14031341120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692784288 (or 11692784277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14031341120400 its reverse (402114313041), we get a palindrome (14433455433441).

The spelling of 14031341120400 in words is "fourteen trillion, thirty-one billion, three hundred forty-one million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11692784267 23385568534 35078352801 46771137068 58463921335 70156705602 93542274136 116927842670 140313411204 175391764005 187084548272 233855685340 280626822408 292319606675 350783528010 467711370680 561253644816 584639213350 701567056020 876958820025 935422741360 1169278426700 1403134112040 1753917640050 2338556853400 2806268224080 3507835280100 4677113706800 7015670560200 14031341120400