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141414880 = 2551038581
BaseRepresentation
bin10000110110111…
…01000111100000
3100212002121202011
420123131013200
5242200234010
622011002304
73335002165
oct1033350740
9325077664
10141414880
1172909102
123b439394
13233b4359
1414ad206c
15c635a8a
hex86dd1e0

141414880 has 48 divisors (see below), whose sum is σ = 337375584. Its totient is φ = 56010240.

The previous prime is 141414877. The next prime is 141414887. The reversal of 141414880 is 88414141.

141414880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141414887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12190 + ... + 20770.

It is an arithmetic number, because the mean of its divisors is an integer number (7028658).

Almost surely, 2141414880 is an apocalyptic number.

141414880 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 141414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168687792).

141414880 is an abundant number, since it is smaller than the sum of its proper divisors (195960704).

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

141414880 is a wasteful number, since it uses less digits than its factorization.

141414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 141414880 is about 11891.7988546729. The cubic root of 141414880 is about 520.9927779499.

The spelling of 141414880 in words is "one hundred forty-one million, four hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 8581 16480 17162 34324 42905 68648 85810 137296 171620 274592 343240 686480 883843 1372960 1767686 3535372 4419215 7070744 8838430 14141488 17676860 28282976 35353720 70707440 141414880