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140532032000 = 295314914737
BaseRepresentation
bin1000001011100001011…
…1001010001000000000
3111102201220210220110002
42002320113022020000
54300302200011000
6144320505055132
713103341364003
oct2027027121000
9442656726402
10140532032000
1154665739708
122329ba874a8
1310337b80c29
146b3216153a
1539c77b58d5
hex20b85ca200

140532032000 has 160 divisors (see below), whose sum is σ = 352801191600. Its totient is φ = 55831756800.

The previous prime is 140532031987. The next prime is 140532032051. The reversal of 140532032000 is 230235041.

It is a happy number.

140532032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3371428096 + 137160603904 = 58064^2 + 370352^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9528632 + ... + 9543368.

Almost surely, 2140532032000 is an apocalyptic number.

140532032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140532032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400595800).

140532032000 is an abundant number, since it is smaller than the sum of its proper divisors (212269159600).

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

140532032000 is an equidigital number, since it uses as much as digits as its factorization.

140532032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14919 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 140532032000 its reverse (230235041), we get a palindrome (140762267041).

The spelling of 140532032000 in words is "one hundred forty billion, five hundred thirty-two million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 149 160 200 250 256 298 320 400 500 512 596 640 745 800 1000 1192 1280 1490 1600 2000 2384 2560 2980 3200 3725 4000 4768 5960 6400 7450 8000 9536 11920 12800 14737 14900 16000 18625 19072 23840 29474 29800 32000 37250 38144 47680 58948 59600 64000 73685 74500 76288 95360 117896 119200 147370 149000 190720 235792 238400 294740 298000 368425 381440 471584 476800 589480 596000 736850 943168 953600 1178960 1192000 1473700 1842125 1886336 1907200 2195813 2357920 2384000 2947400 3684250 3772672 4391626 4715840 4768000 5894800 7368500 7545344 8783252 9431680 9536000 10979065 11789600 14737000 17566504 18863360 21958130 23579200 29474000 35133008 37726720 43916260 47158400 54895325 58948000 70266016 87832520 94316800 109790650 117896000 140532032 175665040 188633600 219581300 235792000 274476625 281064064 351330080 439162600 471584000 548953250 562128128 702660160 878325200 943168000 1097906500 1124256256 1405320320 1756650400 2195813000 2810640640 3513300800 4391626000 5621281280 7026601600 8783252000 14053203200 17566504000 28106406400 35133008000 70266016000 140532032000