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142232322400 = 25527171494037
BaseRepresentation
bin1000010001110110110…
…1010000000101100000
3111121010102012121101121
42010131231100011200
54312242433304100
6145201324142024
713163435535610
oct2043555200540
9447112177347
10142232322400
115535848aa93
1223695397914
13105491cc71c
146c53cc0a40
153a76bc551a
hex211db50160

142232322400 has 144 divisors (see below), whose sum is σ = 420171294816. Its totient is φ = 45896785920.

The previous prime is 142232322359. The next prime is 142232322413. The reversal of 142232322400 is 4223232241.

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

It is a congruent number.

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, 651819 + ... + 842218.

It is an arithmetic number, because the mean of its divisors is an integer number (2917856214).

Almost surely, 2142232322400 is an apocalyptic number.

142232322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142232322400 is an abundant number, since it is smaller than the sum of its proper divisors (277938972416).

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

142232322400 is a wasteful number, since it uses less digits than its factorization.

142232322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494081 (or 1494068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 142232322400 its reverse (4223232241), we get a palindrome (146455554641).

The spelling of 142232322400 in words is "one hundred forty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 95200 1494037 2988074 5976148 7470185 10458259 11952296 14940370 20916518 23904592 25398629 29880740 37350925 41833036 47809184 50797258 52291295 59761480 74701850 83666072 101594516 104582590 119522960 126993145 149403700 167332144 177790403 203189032 209165180 239045920 253986290 261456475 298807400 334664288 355580806 406378064 418330360 507972580 522912950 597614800 634965725 711161612 812756128 836660720 888952015 1015945160 1045825900 1195229600 1269931450 1422323224 1673321440 1777904030 2031890320 2091651800 2539862900 2844646448 3555808060 4063780640 4183303600 4444760075 5079725800 5689292896 7111616120 8366607200 8889520150 10159451600 14223232240 17779040300 20318903200 28446464480 35558080600 71116161200 142232322400