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141808896 = 2832611009
BaseRepresentation
bin10000111001111…
…01010100000000
3100212211122020100
420130331110000
5242300341041
622023242400
73341233005
oct1034752400
9325748210
10141808896
1173058139
123b5a9400
13234c17b8
1414b958ac
15c6b26b6
hex873d500

141808896 has 108 divisors (see below), whose sum is σ = 415984660. Its totient is φ = 46448640.

The previous prime is 141808831. The next prime is 141808907. The reversal of 141808896 is 698808141.

141808896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 121881600 = 4464^2 + 11040^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140040 + ... + 141048.

Almost surely, 2141808896 is an apocalyptic number.

141808896 is a gapful number since it is divisible by the number (16) 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 141808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207992330).

141808896 is an abundant number, since it is smaller than the sum of its proper divisors (274175764).

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

141808896 is a wasteful number, since it uses less digits than its factorization.

141808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 141808896 is about 11908.3540424359. The cubic root of 141808896 is about 521.4761998081.

The spelling of 141808896 in words is "one hundred forty-one million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1009 1098 1152 1464 1952 2018 2196 2304 2928 3027 3904 4036 4392 5856 6054 7808 8072 8784 9081 11712 12108 15616 16144 17568 18162 23424 24216 32288 35136 36324 46848 48432 61549 64576 70272 72648 96864 123098 129152 140544 145296 184647 193728 246196 258304 290592 369294 387456 492392 553941 581184 738588 774912 984784 1107882 1162368 1477176 1969568 2215764 2324736 2954352 3939136 4431528 5908704 7878272 8863056 11817408 15756544 17726112 23634816 35452224 47269632 70904448 141808896