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141404824 = 231137137317
BaseRepresentation
bin10000110110110…
…10101010011000
3100212002002221201
420123122222120
5242144423244
622010443544
73334630651
oct1033325230
9325062851
10141404824
11729015a0
123b4335b4
13233ac8c2
1414acc528
15c632ad4
hex86daa98

141404824 has 64 divisors (see below), whose sum is σ = 300166560. Its totient is φ = 61885440.

The previous prime is 141404801. The next prime is 141404831. The reversal of 141404824 is 428404141.

It is a junction number, because it is equal to n+sod(n) for n = 141404792 and 141404801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445914 + ... + 446230.

Almost surely, 2141404824 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 141404824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150083280).

141404824 is an abundant number, since it is smaller than the sum of its proper divisors (158761736).

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

141404824 is a wasteful number, since it uses less digits than its factorization.

141404824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 141404824 is about 11891.3760347573. The cubic root of 141404824 is about 520.9804284065.

Adding to 141404824 its reverse (428404141), we get a palindrome (569808965).

The spelling of 141404824 in words is "one hundred forty-one million, four hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 137 148 274 296 317 407 548 634 814 1096 1268 1507 1628 2536 3014 3256 3487 5069 6028 6974 10138 11729 12056 13948 20276 23458 27896 40552 43429 46916 55759 86858 93832 111518 129019 173716 223036 258038 347432 446072 477719 516076 955438 1032152 1606873 1910876 3213746 3821752 6427492 12854984 17675603 35351206 70702412 141404824