Search a number
-
+
142300768115200 = 295275114803259
BaseRepresentation
bin100000010110101111111010…
…101111000001101000000000
3200122211211011012100201021111
4200112233322233001220000
5122122423433114141300
61222352023112333104
741654614455424432
oct4026577257015000
9618754135321244
10142300768115200
1141383464911682
1213b62a133a4194
136152b9bc716b6
14271d572d08652
15116b8823029ba
hex816bfabc1a00

142300768115200 has 120 divisors (see below), whose sum is σ = 353030749853760. Its totient is φ = 56844510720000.

The previous prime is 142300768115171. The next prime is 142300768115203. The reversal of 142300768115200 is 2511867003241.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (142300768115203) 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, 2211171 + ... + 17014429.

It is an arithmetic number, because the mean of its divisors is an integer number (2941922915448).

Almost surely, 2142300768115200 is an apocalyptic number.

142300768115200 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 142300768115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176515374926880).

142300768115200 is an abundant number, since it is smaller than the sum of its proper divisors (210729981738560).

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

142300768115200 is an equidigital number, since it uses as much as digits as its factorization.

142300768115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14804038 (or 14804017 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 142300768115200 in words is "one hundred forty-two trillion, three hundred billion, seven hundred sixty-eight million, one hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 751 800 1280 1502 1600 2560 3004 3200 3755 6008 6400 7510 12016 12800 15020 18775 24032 30040 37550 48064 60080 75100 96128 120160 150200 192256 240320 300400 384512 480640 600800 961280 1201600 1922560 2403200 4806400 9612800 14803259 29606518 59213036 74016295 118426072 148032590 236852144 296065180 370081475 473704288 592130360 740162950 947408576 1184260720 1480325900 1894817152 2368521440 2960651800 3789634304 4737042880 5921303600 7579268608 9474085760 11117247509 11842607200 18948171520 22234495018 23685214400 37896343040 44468990036 47370428800 55586237545 88937980072 94740857600 111172475090 177875960144 189481715200 222344950180 277931187725 355751920288 444689900360 555862375450 711503840576 889379800720 1111724750900 1423007681152 1778759601440 2223449501800 2846015362304 3557519202880 4446899003600 5692030724608 7115038405760 8893798007200 14230076811520 17787596014400 28460153623040 35575192028800 71150384057600 142300768115200