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142340024232 = 23327691408713
BaseRepresentation
bin1000010010010000100…
…0000110011110101000
3111121101220212102112100
42010210020012132220
54313003021233412
6145220132413400
713166214146250
oct2044410063650
9447356772470
10142340024232
1155403261a6a
1223705477260
131056560ba13
146c64318960
153a8139bedc
hex21242067a8

142340024232 has 96 divisors (see below), whose sum is σ = 441214937280. Its totient is φ = 40609624320.

The previous prime is 142340024221. The next prime is 142340024273. The reversal of 142340024232 is 232420043241.

142340024232 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 400 + 24 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142340024196 and 142340024205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143908 + ... + 552620.

It is an arithmetic number, because the mean of its divisors is an integer number (4595988930).

Almost surely, 2142340024232 is an apocalyptic number.

142340024232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142340024232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220607468640).

142340024232 is an abundant number, since it is smaller than the sum of its proper divisors (298874913048).

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

142340024232 is a wasteful number, since it uses less digits than its factorization.

142340024232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409423 (or 409416 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 142340024232 its reverse (232420043241), we get a palindrome (374760067473).

The spelling of 142340024232 in words is "one hundred forty-two billion, three hundred forty million, twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 691 1382 2073 2764 4146 4837 5528 6219 8292 9674 12438 14511 16584 19348 24876 29022 38696 43533 49752 58044 87066 116088 174132 348264 408713 817426 1226139 1634852 2452278 2860991 3269704 3678417 4904556 5721982 7356834 8582973 9809112 11443964 14713668 17165946 22887928 25748919 29427336 34331892 51497838 68663784 102995676 205991352 282420683 564841366 847262049 1129682732 1694524098 1976944781 2259365464 2541786147 3389048196 3953889562 5083572294 5930834343 6778096392 7907779124 10167144588 11861668686 15815558248 17792503029 20334289176 23723337372 35585006058 47446674744 71170012116 142340024232