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141053421300 = 2235211261716333
BaseRepresentation
bin1000001101011101110…
…0000110011011110100
3111111002020220020002220
42003113130012123310
54302334133440200
6144444332202340
713122302204301
oct2032734063364
9444066806086
10141053421300
1154902a85160
12234066093b0
13103bbbb48cc
146b814c40a8
153a084564a0
hex20d77066f4

141053421300 has 144 divisors (see below), whose sum is σ = 445413283392. Its totient is φ = 34179609600.

The previous prime is 141053421277. The next prime is 141053421307. The reversal of 141053421300 is 3124350141.

It is a happy number.

141053421300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141053421307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8627934 + ... + 8644266.

Almost surely, 2141053421300 is an apocalyptic number.

141053421300 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 141053421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222706641696).

141053421300 is an abundant number, since it is smaller than the sum of its proper divisors (304359862092).

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

141053421300 is a wasteful number, since it uses less digits than its factorization.

141053421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18978 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 141053421300 its reverse (3124350141), we get a palindrome (144177771441).

The spelling of 141053421300 in words is "one hundred forty-one billion, fifty-three million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2617 3300 5234 7851 10468 13085 15702 16333 26170 28787 31404 32666 39255 48999 52340 57574 65332 65425 78510 81665 86361 97998 115148 130850 143935 157020 163330 172722 179663 195996 196275 244995 261700 287870 326660 345444 359326 392550 408325 431805 489990 538989 575740 718652 719675 785100 816650 863610 898315 979980 1077978 1224975 1439350 1633300 1727220 1796630 2155956 2159025 2449950 2694945 2878700 3593260 4318050 4491575 4899900 5389890 8636100 8983150 10779780 13474725 17966300 26949450 42743461 53898900 85486922 128230383 170973844 213717305 256460766 427434610 470178071 512921532 641151915 854869220 940356142 1068586525 1282303830 1410534213 1880712284 2137173050 2350890355 2564607660 2821068426 3205759575 4274346100 4701780710 5642136852 6411519150 7052671065 9403561420 11754451775 12823038300 14105342130 23508903550 28210684260 35263355325 47017807100 70526710650 141053421300