Search a number
-
+
142232132221000 = 2353178366596013
BaseRepresentation
bin100000010101101111111111…
…101101110111100001001000
3200122121020222211211000202221
4200111233333231313201020
5122120312401322033000
61222300312311103424
741646634554102553
oct4025577755674110
9618536884730687
10142232132221000
1141357343722478
1213b51659371b74
136149581318a53
14271a10153d69a
151169bb684661a
hex815bffb77848

142232132221000 has 64 divisors (see below), whose sum is σ = 352401024109680. Its totient is φ = 53546214476800.

The previous prime is 142232132220991. The next prime is 142232132221021. The reversal of 142232132221000 is 122231232241.

It can be written as a sum of positive squares in 8 ways, for example, as 49706701888804 + 92525430332196 = 7050298^2 + 9619014^2 .

It is a super-2 number, since 2×1422321322210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4183281007 + ... + 4183315006.

Almost surely, 2142232132221000 is an apocalyptic number.

142232132221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142232132221000 is an abundant number, since it is smaller than the sum of its proper divisors (210168891888680).

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

142232132221000 is a wasteful number, since it uses less digits than its factorization.

142232132221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366596051 (or 8366596037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 142232132221000 its reverse (122231232241), we get a palindrome (142354363453241).

The spelling of 142232132221000 in words is "one hundred forty-two trillion, two hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 8366596013 16733192026 33466384052 41832980065 66932768104 83665960130 142232132221 167331920260 209164900325 284464264442 334663840520 418329800650 568928528884 711160661105 836659601300 1045824501625 1137857057768 1422321322210 1673319202600 2091649003250 2844642644420 3555803305525 4183298006500 5689285288840 7111606611050 8366596013000 14223213222100 17779016527625 28446426444200 35558033055250 71116066110500 142232132221000