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142432021443200 = 275261729672241
BaseRepresentation
bin100000011000101010001010…
…000010101111001010000000
3200200022100221110122121200212
4200120222022002233022000
5122132101234442140300
61222532211202533252
742000242161335326
oct4030521202571200
9620270843577625
10142432021443200
1141424098a00675
1213b84343967228
1361623886bc818
142725a64a25d16
15116eeb51d7935
hex818a8a0af280

142432021443200 has 96 divisors (see below), whose sum is σ = 357619662526620. Its totient is φ = 56038828032000.

The previous prime is 142432021443157. The next prime is 142432021443203. The reversal of 142432021443200 is 2344120234241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12366025439296 + 130065996003904 = 3516536^2 + 11404648^2 .

It is a super-2 number, since 2×1424320214432002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (142432021443203) 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, 364640921 + ... + 365031320.

Almost surely, 2142432021443200 is an apocalyptic number.

142432021443200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142432021443200 is an abundant number, since it is smaller than the sum of its proper divisors (215187641083420).

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

142432021443200 is an equidigital number, since it uses as much as digits as its factorization.

142432021443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729672326 (or 729672309 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 142432021443200 its reverse (2344120234241), we get a palindrome (144776141677441).

The spelling of 142432021443200 in words is "one hundred forty-two trillion, four hundred thirty-two billion, twenty-one million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 305 320 400 488 610 640 800 976 1220 1525 1600 1952 2440 3050 3200 3904 4880 6100 7808 9760 12200 19520 24400 39040 48800 97600 195200 729672241 1459344482 2918688964 3648361205 5837377928 7296722410 11674755856 14593444820 18241806025 23349511712 29186889640 36483612050 44510006701 46699023424 58373779280 72967224100 89020013402 93398046848 116747558560 145934448200 178040026804 222550033505 233495117120 291868896400 356080053608 445100067010 466990234240 583737792800 712160107216 890200134020 1112750167525 1167475585600 1424320214432 1780400268040 2225500335050 2334951171200 2848640428864 3560800536080 4451000670100 5697280857728 7121601072160 8902001340200 14243202144320 17804002680400 28486404288640 35608005360800 71216010721600 142432021443200