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140241332113100 = 225217295714981877
BaseRepresentation
bin11111111000110001111010…
…110010001000111011001100
3200101112221101120012010020022
4133320301322302020323030
5121340203222010104400
61214133551211441312
741353046642303411
oct3770617262107314
9611487346163208
10140241332113100
114075a0189917a9
121388b862456238
136033915a81b1a
14268ba0685a108
151132eeb37cb85
hex7f8c7ac88ecc

140241332113100 has 144 divisors (see below), whose sum is σ = 333920137430880. Its totient is φ = 50886874214400.

The previous prime is 140241332113087. The next prime is 140241332113133. The reversal of 140241332113100 is 1311233142041.

It is a super-2 number, since 2×1402413321131002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140241332113100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25659362 + ... + 30641238.

It is an arithmetic number, because the mean of its divisors is an integer number (2318889843270).

Almost surely, 2140241332113100 is an apocalyptic number.

140241332113100 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 140241332113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166960068715440).

140241332113100 is an abundant number, since it is smaller than the sum of its proper divisors (193678805317780).

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

140241332113100 is a wasteful number, since it uses less digits than its factorization.

140241332113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982508 (or 4982501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 140241332113100 its reverse (1311233142041), we get a palindrome (141552565255141).

The spelling of 140241332113100 in words is "one hundred forty trillion, two hundred forty-one billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 571 580 725 850 986 1142 1450 1700 1972 2284 2465 2855 2900 4930 5710 9707 9860 11420 12325 14275 16559 19414 24650 28550 33118 38828 48535 49300 57100 66236 82795 97070 165590 194140 242675 281503 331180 413975 485350 563006 827950 970700 1126012 1407515 1655900 2815030 4981877 5630060 7037575 9963754 14075150 19927508 24909385 28150300 49818770 84691909 99637540 124546925 144474433 169383818 249093850 288948866 338767636 423459545 498187700 577897732 722372165 846919090 1444744330 1693838180 2117297725 2456065361 2844651767 2889488660 3611860825 4234595450 4912130722 5689303534 7223721650 8469190900 9824261444 11378607068 12280326805 14223258835 14447443300 24560653610 28446517670 48359080039 49121307220 56893035340 61401634025 71116294175 82494901243 96718160078 122803268050 142232588350 164989802486 193436320156 241795400195 245606536100 284465176700 329979604972 412474506215 483590800390 824949012430 967181600780 1208977000975 1402413321131 1649898024860 2062372531075 2417954001950 2804826642262 4124745062150 4835908003900 5609653284524 7012066605655 8249490124300 14024133211310 28048266422620 35060333028275 70120666056550 140241332113100