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142210233152 = 2613412101681
BaseRepresentation
bin1000010001110001100…
…0111111001101000000
3111121001212122100122022
42010130120333031000
54312221304430102
6145155214501012
713163050015511
oct2043430771500
9447055570568
10142210233152
1155346a73009
1223689b04768
1310544767370
146c50db0a08
153a74cb05a2
hex211c63f340

142210233152 has 84 divisors (see below), whose sum is σ = 311502196908. Its totient is φ = 64033996800.

The previous prime is 142210233049. The next prime is 142210233157. The reversal of 142210233152 is 251332012241.

It can be written as a sum of positive squares in 6 ways, for example, as 78678006016 + 63532227136 = 280496^2 + 252056^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142210233157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1347752 + ... + 1449432.

It is an arithmetic number, because the mean of its divisors is an integer number (3708359487).

Almost surely, 2142210233152 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 142210233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155751098454).

142210233152 is an abundant number, since it is smaller than the sum of its proper divisors (169291963756).

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

142210233152 is a wasteful number, since it uses less digits than its factorization.

142210233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101788 (or 101737 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 142210233152 its reverse (251332012241), we get a palindrome (393542245393).

The spelling of 142210233152 in words is "one hundred forty-two billion, two hundred ten million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 1681 2132 2624 3362 4264 6724 8528 13448 17056 21853 26896 34112 43706 53792 87412 101681 107584 174824 203362 349648 406724 699296 813448 1321853 1398592 1626896 2643706 3253792 4168921 5287412 6507584 8337842 10574824 16675684 21149648 33351368 42299296 54195973 66702736 84598592 108391946 133405472 170925761 216783892 266810944 341851522 433567784 683703044 867135568 1367406088 1734271136 2222034893 2734812176 3468542272 4444069786 5469624352 8888139572 10939248704 17776279144 35552558288 71105116576 142210233152