Search a number
-
+
142001334240 = 2535295836113
BaseRepresentation
bin1000010000111111110…
…0000110011111100000
3111120112022120012012120
42010033330012133200
54311304320143430
6145122353224240
713154632266003
oct2041774063740
9446468505176
10142001334240
115524a062187
122362bb62080
13105103b573c
146c3135353a
153a61799610
hex210ff067e0

142001334240 has 48 divisors (see below), whose sum is σ = 447304204368. Its totient is φ = 37867022336.

The previous prime is 142001334157. The next prime is 142001334247. The reversal of 142001334240 is 42433100241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1420013342403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142001334240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142001334247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147917577 + ... + 147918536.

It is an arithmetic number, because the mean of its divisors is an integer number (9318837591).

Almost surely, 2142001334240 is an apocalyptic number.

142001334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142001334240 is an abundant number, since it is smaller than the sum of its proper divisors (305302870128).

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

142001334240 is a wasteful number, since it uses less digits than its factorization.

142001334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295836131 (or 295836123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142001334240 its reverse (42433100241), we get a palindrome (184434434481).

The spelling of 142001334240 in words is "one hundred forty-two billion, one million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 295836113 591672226 887508339 1183344452 1479180565 1775016678 2366688904 2958361130 3550033356 4437541695 4733377808 5916722260 7100066712 8875083390 9466755616 11833444520 14200133424 17750166780 23666889040 28400266848 35500333560 47333778080 71000667120 142001334240