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140321232234144 = 253213601131947279
BaseRepresentation
bin11111111001111100010101…
…001100111010011010100000
3200101211120121221100211001200
4133321330111030322122200
5121343010340422443034
61214234403440401200
741361605642155623
oct3771742514723240
9611746557324050
10140321232234144
114078a99a47a295
12138a3240916200
13603b30a2b6260
142691826235dba
151135125bbca99
hex7f9f1533a6a0

140321232234144 has 288 divisors, whose sum is σ = 430784261107200. Its totient is φ = 43070333644800.

The previous prime is 140321232234119. The next prime is 140321232234149. The reversal of 140321232234144 is 441432232123041.

140321232234144 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 2 + 1 + 232 + 2 + 3 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140321232234099 and 140321232234108.

It is not an unprimeable number, because it can be changed into a prime (140321232234149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2967916297 + ... + 2967963575.

It is an arithmetic number, because the mean of its divisors is an integer number (1495778684400).

Almost surely, 2140321232234144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140321232234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215392130553600).

140321232234144 is an abundant number, since it is smaller than the sum of its proper divisors (290463028873056).

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

140321232234144 is a wasteful number, since it uses less digits than its factorization.

140321232234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49228 (or 49217 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140321232234144 its reverse (441432232123041), we get a palindrome (581753464357185).

The spelling of 140321232234144 in words is "one hundred forty trillion, three hundred twenty-one billion, two hundred thirty-two million, two hundred thirty-four thousand, one hundred forty-four".