Search a number
-
+
142833016960 = 2751032166763
BaseRepresentation
bin1000010100000110000…
…0101110000010000000
3111122200021112001102021
42011001200232002000
54320010223020320
6145341103131224
713214351416654
oct2050140560200
9448607461367
10142833016960
1155636572777
12238225a3b14
13106137ac4aa
146cad9a8a64
153aae7cddaa
hex214182e080

142833016960 has 64 divisors (see below), whose sum is σ = 344775487680. Its totient is φ = 56578489344.

The previous prime is 142833016927. The next prime is 142833016969. The reversal of 142833016960 is 69610338241.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (142833016969) 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, 1017462 + ... + 1149301.

It is an arithmetic number, because the mean of its divisors is an integer number (5387116995).

Almost surely, 2142833016960 is an apocalyptic number.

142833016960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142833016960 is an abundant number, since it is smaller than the sum of its proper divisors (201942470720).

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

142833016960 is a wasteful number, since it uses less digits than its factorization.

142833016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166885 (or 2166873 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 142833016960 in words is "one hundred forty-two billion, eight hundred thirty-three million, sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 320 412 515 640 824 1030 1648 2060 3296 4120 6592 8240 13184 16480 32960 65920 2166763 4333526 8667052 10833815 17334104 21667630 34668208 43335260 69336416 86670520 138672832 173341040 223176589 277345664 346682080 446353178 693364160 892706356 1115882945 1386728320 1785412712 2231765890 3570825424 4463531780 7141650848 8927063560 14283301696 17854127120 28566603392 35708254240 71416508480 142833016960