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140342230412241 = 31113273344718721
BaseRepresentation
bin11111111010001111111000…
…110010100110101111010001
3200101220120211100010210020120
4133322033320302212233101
5121343331341441142431
61214252155224300453
741363251204555014
oct3772177062465721
9611816740123216
10140342230412241
1140798895398290
12138a7321011729
1360402a5710a00
142692858d1337b
1511359543aa196
hex7fa3f8ca6bd1

140342230412241 has 48 divisors (see below), whose sum is σ = 224072684799552. Its totient is φ = 77437613260800.

The previous prime is 140342230412213. The next prime is 140342230412249. The reversal of 140342230412241 is 142214032243041.

It is a de Polignac number, because none of the positive numbers 2k-140342230412241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (140342230412249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171952240 + ... + 172766481.

It is an arithmetic number, because the mean of its divisors is an integer number (4668180933324).

Almost surely, 2140342230412241 is an apocalyptic number.

140342230412241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140342230412241 is a deficient number, since it is larger than the sum of its proper divisors (83730454387311).

140342230412241 is a wasteful number, since it uses less digits than its factorization.

140342230412241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344718834 (or 344718821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 140342230412241 its reverse (142214032243041), we get a palindrome (282556262655282).

The spelling of 140342230412241 in words is "one hundred forty trillion, three hundred forty-two billion, two hundred thirty million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 73 143 169 219 429 507 803 949 1859 2409 2847 5577 10439 12337 31317 37011 135707 407121 344718721 1034156163 3791905931 4481343373 11375717793 13444030119 25164466633 49294777103 58257463849 75493399899 147884331309 174772391547 276809132963 327138066229 640832102339 830427398889 981414198687 1922496307017 3598518728519 4252794860977 10795556185557 12758384582931 46780743470747 140342230412241