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141229728 = 25321074583
BaseRepresentation
bin10000110101011…
…11111010100000
3100211202012202200
420122233322200
5242123322403
622003013200
73333301323
oct1032577240
9324665680
10141229728
11727a1a92
123b36a200
132334acb3
1414a847ba
15c5eaca3
hex86afea0

141229728 has 72 divisors (see below), whose sum is σ = 405463968. Its totient is φ = 46626432.

The previous prime is 141229667. The next prime is 141229763. The reversal of 141229728 is 827922141.

141229728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141229692 and 141229701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28525 + ... + 33107.

It is an arithmetic number, because the mean of its divisors is an integer number (5631444).

Almost surely, 2141229728 is an apocalyptic number.

141229728 is a gapful number since it is divisible by the number (18) 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 141229728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202731984).

141229728 is an abundant number, since it is smaller than the sum of its proper divisors (264234240).

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

141229728 is a wasteful number, since it uses less digits than its factorization.

141229728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4695 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 141229728 is about 11884.0114439528. The cubic root of 141229728 is about 520.7653031030.

The spelling of 141229728 in words is "one hundred forty-one million, two hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 4583 5136 7704 9166 10272 13749 15408 18332 27498 30816 36664 41247 54996 73328 82494 109992 146656 164988 219984 329976 439968 490381 659952 980762 1319904 1471143 1961524 2942286 3923048 4413429 5884572 7846096 8826858 11769144 15692192 17653716 23538288 35307432 47076576 70614864 141229728