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141413344 = 25171911361
BaseRepresentation
bin10000110110111…
…00101111100000
3100212002112122021
420123130233200
5242200211334
622010551224
73334664542
oct1033345740
9325075567
10141413344
1172907a36
123b438514
13233b3747
1414ad1692
15c6353b4
hex86dcbe0

141413344 has 48 divisors (see below), whose sum is σ = 296545536. Its totient is φ = 66150400.

The previous prime is 141413341. The next prime is 141413347. The reversal of 141413344 is 443314141.

141413344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141413341) and next prime (141413347).

It is a super-2 number, since 2×1414133442 = 39995467722524672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141413341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103224 + ... + 104584.

It is an arithmetic number, because the mean of its divisors is an integer number (6178032).

Almost surely, 2141413344 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 141413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148272768).

141413344 is an abundant number, since it is smaller than the sum of its proper divisors (155132192).

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

141413344 is a wasteful number, since it uses less digits than its factorization.

141413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1571 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 141413344 is about 11891.7342721741. The cubic root of 141413344 is about 520.9908916613.

Adding to 141413344 its reverse (443314141), we get a palindrome (584727485).

The spelling of 141413344 in words is "one hundred forty-one million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 544 764 1361 1528 2722 3056 3247 5444 6112 6494 10888 12988 21776 23137 25976 43552 46274 51952 92548 103904 185096 259951 370192 519902 740384 1039804 2079608 4159216 4419167 8318432 8838334 17676668 35353336 70706672 141413344