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2413412143142 = 2711213432548627
BaseRepresentation
bin100011000111101010100…
…100101101000000100110
322112201102211201200112012
4203013222210231000212
5304020132002040032
65044412313554222
7336235413512150
oct43075244550046
98481384650465
102413412143142
11850582267900
1232b89aa15972
13146778777b90
1484b4a023ad0
1542ba20d96b2
hex231ea92d026

2413412143142 has 96 divisors (see below), whose sum is σ = 5011295874816. Its totient is φ = 847774952640.

The previous prime is 2413412143139. The next prime is 2413412143187.

2413412143142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24134121431422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2413412143099 and 2413412143108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327368 + ... + 2221259.

It is an arithmetic number, because the mean of its divisors is an integer number (52200998696).

Almost surely, 22413412143142 is an apocalyptic number.

2413412143142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2413412143142 is an abundant number, since it is smaller than the sum of its proper divisors (2597883731674).

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

2413412143142 is a wasteful number, since it uses less digits than its factorization.

2413412143142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548714 (or 2548703 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 2413412143142 in words is "two trillion, four hundred thirteen billion, four hundred twelve million, one hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 43 77 86 91 121 143 154 182 242 286 301 473 559 602 847 946 1001 1118 1573 1694 2002 3146 3311 3913 5203 6149 6622 7826 10406 11011 12298 22022 36421 43043 67639 72842 86086 135278 473473 946946 2548627 5097254 17840389 28034897 33132151 35680778 56069794 66264302 109590961 196244279 219181922 231925057 308383867 364453661 392488558 463850114 616767734 728907322 767136727 1205500571 1424682493 1534273454 2158687069 2411001142 2551175627 2849364986 4008990271 4317374138 5102351254 8017980542 8438503997 9972777451 13260506281 15671507423 16877007994 19945554902 26521012562 28062931897 31343014846 56125863794 92823543967 109700551961 172386581653 185647087934 219401103922 344773163306 1206706071571 2413412143142