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2142340032 = 26375927017
BaseRepresentation
bin111111110110001…
…1000001111000000
312112022012011001010
41333230120033000
513341414340112
6552325440520
7104042406210
oct17754301700
95468164033
102142340032
119aa327858
124b9570140
13281ac3831
1416474c240
15c812c63c
hex7fb183c0

2142340032 has 112 divisors (see below), whose sum is σ = 6588069120. Its totient is φ = 601700352.

The previous prime is 2142340027. The next prime is 2142340043. The reversal of 2142340032 is 2300432412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21423400322 = 9179241625419522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2142339990 and 2142340008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65788 + ... + 92804.

Almost surely, 22142340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294034560).

2142340032 is an abundant number, since it is smaller than the sum of its proper divisors (4445729088).

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

2142340032 is a wasteful number, since it uses less digits than its factorization.

2142340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27098 (or 27088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2142340032 is about 46285.4192159907. The cubic root of 2142340032 is about 1289.1282759126.

Adding to 2142340032 its reverse (2300432412), we get a palindrome (4442772444).

The spelling of 2142340032 in words is "two billion, one hundred forty-two million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2832 3304 3776 4956 5664 6608 9912 11328 13216 19824 26432 27017 39648 54034 79296 81051 108068 162102 189119 216136 324204 378238 432272 567357 648408 756476 864544 1134714 1296816 1512952 1594003 1729088 2269428 2593632 3025904 3188006 4538856 4782009 5187264 6051808 6376012 9077712 9564018 11158021 12103616 12752024 18155424 19128036 22316042 25504048 33474063 36310848 38256072 44632084 51008096 66948126 76512144 89264168 102016192 133896252 153024288 178528336 267792504 306048576 357056672 535585008 714113344 1071170016 2142340032