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141441432 = 23311618783
BaseRepresentation
bin10000110111000…
…11100110011000
3100212010222011120
420123203212120
5242202111212
622011325240
73335142456
oct1033434630
9325128146
10141441432
1172927050
123b450820
13233c3472
1414adb9d6
15c63d88c
hex86e3998

141441432 has 64 divisors (see below), whose sum is σ = 392117760. Its totient is φ = 42153600.

The previous prime is 141441427. The next prime is 141441449. The reversal of 141441432 is 234144141.

141441432 is digitally balanced in base 3, 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 (24).

It is a nude number because it is divisible by every one of its digits.

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, 11713 + ... + 20495.

It is an arithmetic number, because the mean of its divisors is an integer number (6126840).

Almost surely, 2141441432 is an apocalyptic number.

141441432 is a gapful number since it is divisible by the number (12) 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 141441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

141441432 is an abundant number, since it is smaller than the sum of its proper divisors (250676328).

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

141441432 is a wasteful number, since it uses less digits than its factorization.

141441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 8860 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141441432 is about 11892.9152019175. The cubic root of 141441432 is about 521.0253830396.

Adding to 141441432 its reverse (234144141), we get a palindrome (375585573).

It can be divided in two parts, 14144 and 1432, that added together give a triangular number (15576 = T176).

The spelling of 141441432 in words is "one hundred forty-one million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 8783 16104 17566 26349 35132 52698 70264 96613 105396 193226 210792 289839 386452 535763 579678 772904 1071526 1159356 1607289 2143052 2318712 3214578 4286104 5893393 6429156 11786786 12858312 17680179 23573572 35360358 47147144 70720716 141441432