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143381664 = 253518439
BaseRepresentation
bin10001000101111…
…01010010100000
3100222210112200000
420202331102200
5243201203124
622121100000
73360503226
oct1042752240
9328715600
10143381664
1173a31848
1240027600
132392262a
1415084b16
15c8c36c9
hex88bd4a0

143381664 has 72 divisors (see below), whose sum is σ = 422866080. Its totient is φ = 47791296.

The previous prime is 143381647. The next prime is 143381683. The reversal of 143381664 is 466183341.

It is a happy number.

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

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, 1444 + ... + 16995.

It is an arithmetic number, because the mean of its divisors is an integer number (5873140).

Almost surely, 2143381664 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 143381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211433040).

143381664 is an abundant number, since it is smaller than the sum of its proper divisors (279484416).

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

143381664 is an equidigital number, since it uses as much as digits as its factorization.

143381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18464 (or 18444 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 143381664 is about 11974.2082828052. The cubic root of 143381664 is about 523.3969715391.

The spelling of 143381664 in words is "one hundred forty-three million, three hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 18439 36878 55317 73756 110634 147512 165951 221268 295024 331902 442536 497853 590048 663804 885072 995706 1327608 1493559 1770144 1991412 2655216 2987118 3982824 4480677 5310432 5974236 7965648 8961354 11948472 15931296 17922708 23896944 35845416 47793888 71690832 143381664