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142905178000 = 2453135496353
BaseRepresentation
bin1000010100010111001…
…1111111011110010000
3111122212022022012202101
42011011303333132100
54320132211144000
6145352201530144
713216215654004
oct2050563773620
9448768265671
10142905178000
115567327a3a2
12238427a3954
1310625726830
146cb93d0704
153ab5cd4e6a
hex2145cff790

142905178000 has 80 divisors (see below), whose sum is σ = 372125151216. Its totient is φ = 52764979200.

The previous prime is 142905177991. The next prime is 142905178037. The reversal of 142905178000 is 871509241.

It can be written as a sum of positive squares in 8 ways, for example, as 121739583744 + 21165594256 = 348912^2 + 145484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 2722177 + ... + 2774176.

Almost surely, 2142905178000 is an apocalyptic number.

142905178000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142905178000 is an abundant number, since it is smaller than the sum of its proper divisors (229219973216).

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

142905178000 is a wasteful number, since it uses less digits than its factorization.

142905178000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496389 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

It can be divided in two parts, 1429051 and 78000, that added together give a palindrome (1507051).

The spelling of 142905178000 in words is "one hundred forty-two billion, nine hundred five million, one hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 5496353 10992706 21985412 27481765 43970824 54963530 71452589 87941648 109927060 137408825 142905178 219854120 274817650 285810356 357262945 439708240 549635300 571620712 687044125 714525890 1099270600 1143241424 1374088250 1429051780 1786314725 2198541200 2748176500 2858103560 3572629450 5496353000 5716207120 7145258900 8931573625 10992706000 14290517800 17863147250 28581035600 35726294500 71452589000 142905178000