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140241425400 = 233252521149543
BaseRepresentation
bin1000001010011100001…
…0100101001111111000
3111101222122222120010200
42002213002211033320
54244203301103100
6144232004242200
713063212306306
oct2024702451770
9441878876120
10140241425400
11545266a066a
122321a6a0360
13102bc8c186b
146b05715276
1539ac00ee00
hex20a70a53f8

140241425400 has 144 divisors (see below), whose sum is σ = 471884596560. Its totient is φ = 37325683200.

The previous prime is 140241425383. The next prime is 140241425413. The reversal of 140241425400 is 4524142041.

140241425400 is a `hidden beast` number, since 1 + 40 + 2 + 41 + 42 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 863029 + ... + 1012571.

It is an arithmetic number, because the mean of its divisors is an integer number (3276976365).

Almost surely, 2140241425400 is an apocalyptic number.

140241425400 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 140241425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235942298280).

140241425400 is an abundant number, since it is smaller than the sum of its proper divisors (331643171160).

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

140241425400 is a wasteful number, since it uses less digits than its factorization.

140241425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150086 (or 150074 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 140241425400 its reverse (4524142041), we get a palindrome (144765567441).

The spelling of 140241425400 in words is "one hundred forty billion, two hundred forty-one million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 521 600 900 1042 1563 1800 2084 2605 3126 4168 4689 5210 6252 7815 9378 10420 12504 13025 15630 18756 20840 23445 26050 31260 37512 39075 46890 52100 62520 78150 93780 104200 117225 149543 156300 187560 234450 299086 312600 448629 468900 598172 747715 897258 937800 1196344 1345887 1495430 1794516 2243145 2691774 2990860 3589032 3738575 4486290 5383548 5981720 6729435 7477150 8972580 10767096 11215725 13458870 14954300 17945160 22431450 26917740 29908600 33647175 44862900 53835480 67294350 77911903 89725800 134588700 155823806 233735709 269177400 311647612 389559515 467471418 623295224 701207127 779119030 934942836 1168678545 1402414254 1558238060 1869885672 1947797575 2337357090 2804828508 3116476120 3506035635 3895595150 4674714180 5609657016 5843392725 7012071270 7791190300 9349428360 11686785450 14024142540 15582380600 17530178175 23373570900 28048285080 35060356350 46747141800 70120712700 140241425400