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142210142320 = 2453770967763
BaseRepresentation
bin1000010001110001100…
…0101001000001110000
3111121001212110202001011
42010130120221001300
54312221244023240
6145155212520304
713163046156631
oct2043430510160
9447055422034
10142210142320
1155346a10844
1223689a80094
1310544734c0c
146c50d89888
153a74c936ea
hex211c629070

142210142320 has 80 divisors (see below), whose sum is σ = 340058725920. Its totient is φ = 55267771392.

The previous prime is 142210142297. The next prime is 142210142411. The reversal of 142210142320 is 23241012241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 142210142291 and 142210142300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2064759 + ... + 2132521.

It is an arithmetic number, because the mean of its divisors is an integer number (4250734074).

Almost surely, 2142210142320 is an apocalyptic number.

142210142320 is a gapful number since it is divisible by the number (10) 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 142210142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170029362960).

142210142320 is an abundant number, since it is smaller than the sum of its proper divisors (197848583600).

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

142210142320 is a wasteful number, since it uses less digits than its factorization.

142210142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68522 (or 68516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 142210142320 its reverse (23241012241), we get a palindrome (165451154561).

The spelling of 142210142320 in words is "one hundred forty-two billion, two hundred ten million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 709 740 1418 1480 2836 2960 3545 5672 7090 11344 14180 26233 28360 52466 56720 67763 104932 131165 135526 209864 262330 271052 338815 419728 524660 542104 677630 1049320 1084208 1355260 2098640 2507231 2710520 5014462 5421040 10028924 12536155 20057848 25072310 40115696 48043967 50144620 96087934 100289240 192175868 200578480 240219835 384351736 480439670 768703472 960879340 1777626779 1921758680 3555253558 3843517360 7110507116 8888133895 14221014232 17776267790 28442028464 35552535580 71105071160 142210142320