Search a number
-
+
2142006132336 = 24372910716893
BaseRepresentation
bin11111001010111001100…
…000111011111001110000
321120202220002102210220220
4133022321200323321300
5240043312032213321
64320005105133040
7310516623466500
oct37127140737160
97522802383826
102142006132336
1175646868a934
122a717562a180
13126cb4939a05
14759606d1a00
153aab9dc39c6
hex1f2b983be70

2142006132336 has 60 divisors (see below), whose sum is σ = 6436947006792. Its totient is φ = 612001751424.

The previous prime is 2142006132313. The next prime is 2142006132349. The reversal of 2142006132336 is 6332316002412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2142006132297 and 2142006132306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455356095 + ... + 455360798.

Almost surely, 22142006132336 is an apocalyptic number.

It is an amenable number.

2142006132336 is an abundant number, since it is smaller than the sum of its proper divisors (4294940874456).

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

2142006132336 is a wasteful number, since it uses less digits than its factorization.

2142006132336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910716918 (or 910716905 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 2142006132336 in words is "two trillion, one hundred forty-two billion, six million, one hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 910716893 1821433786 2732150679 3642867572 5464301358 6375018251 7285735144 10928602716 12750036502 14571470288 19125054753 21857205432 25500073004 38250109506 43714410864 44625127757 51000146008 76500219012 89250255514 102000292016 133875383271 153000438024 178500511028 267750766542 306000876048 357001022056 535501533084 714002044112 1071003066168 2142006132336