Search a number
-
+
142310322024 = 233134147236701
BaseRepresentation
bin1000010010001001011…
…0110010111101101000
3111121022211222101202120
42010202112302331220
54312422420301044
6145213152031240
713165403531013
oct2044226627550
9447284871676
10142310322024
1155398515292
12236b7532520
131055c40c450
146c603c637a
153a7d981519
hex21225b2f68

142310322024 has 128 divisors (see below), whose sum is σ = 400840634880. Its totient is φ = 41810688000.

The previous prime is 142310322023. The next prime is 142310322029. The reversal of 142310322024 is 420223013241.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 142310321985 and 142310322003.

It is not an unprimeable number, because it can be changed into a prime (142310322023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482874 + ... + 719574.

It is an arithmetic number, because the mean of its divisors is an integer number (3131567460).

Almost surely, 2142310322024 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 142310322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200420317440).

142310322024 is an abundant number, since it is smaller than the sum of its proper divisors (258530312856).

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

142310322024 is a wasteful number, since it uses less digits than its factorization.

142310322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236811 (or 236807 counting only the distinct ones).

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

Adding to 142310322024 its reverse (420223013241), we get a palindrome (562533335265).

The spelling of 142310322024 in words is "one hundred forty-two billion, three hundred ten million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 47 52 78 82 94 104 123 141 156 164 188 246 282 312 328 376 492 533 564 611 984 1066 1128 1222 1599 1833 1927 2132 2444 3198 3666 3854 4264 4888 5781 6396 7332 7708 11562 12792 14664 15416 23124 25051 46248 50102 75153 100204 150306 200408 236701 300612 473402 601224 710103 946804 1420206 1893608 2840412 3077113 5680824 6154226 9231339 9704741 11124947 12308452 18462678 19409482 22249894 24616904 29114223 33374841 36925356 38818964 44499788 58228446 66749682 73850712 77637928 88999576 116456892 126161633 133499364 144624311 232913784 252323266 266998728 289248622 378484899 433872933 456122827 504646532 578497244 756969798 867745866 912245654 1009293064 1156994488 1368368481 1513939596 1735491732 1824491308 2736736962 3027879192 3470983464 3648982616 5473473924 5929596751 10946947848 11859193502 17788790253 23718387004 35577580506 47436774008 71155161012 142310322024