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142304032442400 = 25352367161562253
BaseRepresentation
bin100000010110110010111101…
…010011011100100000100000
3200122212010120200202201100220
4200112302331103130200200
5122123002124301124100
61222353323042243040
741655061403643363
oct4026627523344040
9618763520681326
10142304032442400
114138488a500a54
1213b63584656480
13615329c34395a
14271d7a267a0da
15116b9c3baaaa0
hex816cbd4dc820

142304032442400 has 144 divisors (see below), whose sum is σ = 464461752795264. Its totient is φ = 37844341908480.

The previous prime is 142304032442387. The next prime is 142304032442477. The reversal of 142304032442400 is 4244230403241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79900327 + ... + 81661926.

It is an arithmetic number, because the mean of its divisors is an integer number (3225428838856).

Almost surely, 2142304032442400 is an apocalyptic number.

142304032442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142304032442400 is an abundant number, since it is smaller than the sum of its proper divisors (322157720352864).

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

142304032442400 is a wasteful number, since it uses less digits than its factorization.

142304032442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161562643 (or 161562630 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 142304032442400 its reverse (4244230403241), we get a palindrome (146548262845641).

The spelling of 142304032442400 in words is "one hundred forty-two trillion, three hundred four billion, thirty-two million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 367 400 480 600 734 800 1101 1200 1468 1835 2202 2400 2936 3670 4404 5505 5872 7340 8808 9175 11010 11744 14680 17616 18350 22020 27525 29360 35232 36700 44040 55050 58720 73400 88080 110100 146800 176160 220200 293600 440400 880800 161562253 323124506 484686759 646249012 807811265 969373518 1292498024 1615622530 1938747036 2423433795 2584996048 3231245060 3877494072 4039056325 4846867590 5169992096 6462490120 7754988144 8078112650 9693735180 12117168975 12924980240 15509976288 16156225300 19387470360 24234337950 25849960480 32312450600 38774940720 48468675900 59293346851 64624901200 77549881440 96937351800 118586693702 129249802400 177880040553 193874703600 237173387404 296466734255 355760081106 387749407200 474346774808 592933468510 711520162212 889400202765 948693549616 1185866937020 1423040324424 1482333671275 1778800405530 1897387099232 2371733874040 2846080648848 2964667342550 3557600811060 4447001013825 4743467748080 5692161297696 5929334685100 7115201622120 8894002027650 9486935496160 11858669370200 14230403244240 17788004055300 23717338740400 28460806488480 35576008110600 47434677480800 71152016221200 142304032442400