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144121012301420 = 2257111031103823747
BaseRepresentation
bin100000110001001111001001…
…101111100010111001101100
3200220021211112010221002111222
4200301033021233202321230
5122342234313122121140
61230304140134402512
742233254015631540
oct4061171157427154
9626254463832458
10144121012301420
1141a15418242a80
12141b774b500438
1362557263498cb
1427836cc1a3a20
15119ddb925d5b5
hex8313c9be2e6c

144121012301420 has 192 divisors, whose sum is σ = 381344343883776. Its totient is φ = 44444325784320.

The previous prime is 144121012301359. The next prime is 144121012301429. The reversal of 144121012301420 is 24103210121441.

144121012301420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144121012301420.

It is not an unprimeable number, because it can be changed into a prime (144121012301429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174545987 + ... + 175369733.

It is an arithmetic number, because the mean of its divisors is an integer number (1986168457728).

Almost surely, 2144121012301420 is an apocalyptic number.

144121012301420 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 144121012301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190672171941888).

144121012301420 is an abundant number, since it is smaller than the sum of its proper divisors (237223331582356).

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

144121012301420 is a wasteful number, since it uses less digits than its factorization.

144121012301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824980 (or 824978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144121012301420 its reverse (24103210121441), we get a palindrome (168224222422861).

The spelling of 144121012301420 in words is "one hundred forty-four trillion, one hundred twenty-one billion, twelve million, three hundred one thousand, four hundred twenty".