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141331728 = 24319314999
BaseRepresentation
bin10000110110010…
…00110100010000
3100211221101200110
420123020310100
5242140103403
622005121320
73334204566
oct1033106420
9324841613
10141331728
117286168a
123b3b9240
1323385555
1414aada36
15c61b103
hex86c8d10

141331728 has 80 divisors (see below), whose sum is σ = 396800000. Its totient is φ = 43182720.

The previous prime is 141331717. The next prime is 141331739. The reversal of 141331728 is 827133141.

It is an interprime number because it is at equal distance from previous prime (141331717) and next prime (141331739).

It is a junction number, because it is equal to n+sod(n) for n = 141331695 and 141331704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25773 + ... + 30771.

It is an arithmetic number, because the mean of its divisors is an integer number (4960000).

Almost surely, 2141331728 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 141331728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198400000).

141331728 is an abundant number, since it is smaller than the sum of its proper divisors (255468272).

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

141331728 is a wasteful number, since it uses less digits than its factorization.

141331728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5054 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 141331728 is about 11888.3021495923. The cubic root of 141331728 is about 520.8906432823.

Adding to 141331728 its reverse (827133141), we get a palindrome (968464869).

The spelling of 141331728 in words is "one hundred forty-one million, three hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 4999 7068 9424 9998 14136 14997 19996 28272 29994 39992 59988 79984 94981 119976 154969 189962 239952 284943 309938 379924 464907 569886 619876 759848 929814 1139772 1239752 1519696 1859628 2279544 2479504 2944411 3719256 4559088 5888822 7438512 8833233 11777644 17666466 23555288 35332932 47110576 70665864 141331728