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142104033040400 = 2452877405085613
BaseRepresentation
bin100000010011111000101100…
…011010010001100000010000
3200122011000100101121102011122
4200103320230122101200100
5122111213024424243100
61222121405213101412
741634451261036664
oct4023705432214020
9618130311542148
10142104033040400
1141307a89009072
1213b30869187868
13613a4781a3a32
142713c2c6b28a4
1511666ba803985
hex813e2c691810

142104033040400 has 60 divisors (see below), whose sum is σ = 341794227497412. Its totient is φ = 56776799377920.

The previous prime is 142104033040399. The next prime is 142104033040439. The reversal of 142104033040400 is 4040330401241.

It can be written as a sum of positive squares in 6 ways, for example, as 17564950395136 + 124539082645264 = 4191056^2 + 11159708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142104033040400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 202192007 + ... + 202893606.

Almost surely, 2142104033040400 is an apocalyptic number.

142104033040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142104033040400 is an abundant number, since it is smaller than the sum of its proper divisors (199690194457012).

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

142104033040400 is a wasteful number, since it uses less digits than its factorization.

142104033040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405086508 (or 405086497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 142104033040400 its reverse (4040330401241), we get a palindrome (146144363441641).

The spelling of 142104033040400 in words is "one hundred forty-two trillion, one hundred four billion, thirty-three million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 877 1754 3508 4385 7016 8770 14032 17540 21925 35080 43850 70160 87700 175400 350800 405085613 810171226 1620342452 2025428065 3240684904 4050856130 6481369808 8101712260 10127140325 16203424520 20254280650 32406849040 40508561300 81017122600 162034245200 355260082601 710520165202 1421040330404 1776300413005 2842080660808 3552600826010 5684161321616 7105201652020 8881502065025 14210403304040 17763004130050 28420806608080 35526008260100 71052016520200 142104033040400