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141404100 = 22352617727
BaseRepresentation
bin10000110110110…
…10011111000100
3100212002001221220
420123122133010
5242144412400
622010440340
73334625565
oct1033323704
9325061856
10141404100
1172900aa2
123b4330b0
13233ac486
1414acc16c
15c6327a0
hex86da7c4

141404100 has 72 divisors (see below), whose sum is σ = 415890048. Its totient is φ = 37084800.

The previous prime is 141404083. The next prime is 141404149. The reversal of 141404100 is 1404141.

141404100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141404100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14437 + ... + 22163.

Almost surely, 2141404100 is an apocalyptic number.

141404100 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 141404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207945024).

141404100 is an abundant number, since it is smaller than the sum of its proper divisors (274485948).

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

141404100 is a wasteful number, since it uses less digits than its factorization.

141404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 141404100 is about 11891.3455924887. The cubic root of 141404100 is about 520.9795392561.

Adding to 141404100 its reverse (1404141), we get a palindrome (142808241).

The spelling of 141404100 in words is "one hundred forty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 7727 9150 15454 18300 23181 30908 38635 46362 77270 92724 115905 154540 193175 231810 386350 463620 471347 579525 772700 942694 1159050 1414041 1885388 2318100 2356735 2828082 4713470 5656164 7070205 9426940 11783675 14140410 23567350 28280820 35351025 47134700 70702050 141404100