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2144134133240 = 235115998135279
BaseRepresentation
bin11111001100111000010…
…110100111010111111000
321120222101101122110101012
4133030320112213113320
5240112141314230430
64321000203413052
7310623433264661
oct37147026472770
97528341573335
102144134133240
1175735a903470
122a766a224188
1312726377c948
1475ac318a368
153ab91b1c695
hex1f3385a75f8

2144134133240 has 64 divisors (see below), whose sum is σ = 5271661440000. Its totient is φ = 778383399040.

The previous prime is 2144134133227. The next prime is 2144134133249. The reversal of 2144134133240 is 423314314412.

It is a super-2 number, since 2×21441341332402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144134133197 and 2144134133206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144134133249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3804080 + ... + 4331199.

It is an arithmetic number, because the mean of its divisors is an integer number (82369710000).

Almost surely, 22144134133240 is an apocalyptic number.

2144134133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144134133240 is an abundant number, since it is smaller than the sum of its proper divisors (3127527306760).

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

2144134133240 is a wasteful number, since it uses less digits than its factorization.

2144134133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135900 (or 8135896 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 2144134133240 its reverse (423314314412), we get a palindrome (2567448447652).

The spelling of 2144134133240 in words is "two trillion, one hundred forty-four billion, one hundred thirty-four million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 599 1198 2396 2995 4792 5990 6589 11980 13178 23960 26356 32945 52712 65890 131780 263560 8135279 16270558 32541116 40676395 65082232 81352790 89488069 162705580 178976138 325411160 357952276 447440345 715904552 894880690 1789761380 3579522760 4873032121 9746064242 19492128484 24365160605 38984256968 48730321210 53603353331 97460642420 107206706662 194921284840 214413413324 268016766655 428826826648 536033533310 1072067066620 2144134133240