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143350144 = 2771391151
BaseRepresentation
bin10001000101101…
…01100110000000
3100222201221102121
420202311212000
5243144201034
622120254024
73360312310
oct1042654600
9328657377
10143350144
1173a100a3
1240011314
1323911192
1415077440
15c8b91b4
hex88b5980

143350144 has 64 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 60940800.

The previous prime is 143350139. The next prime is 143350199. The reversal of 143350144 is 441053341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123969 + ... + 125119.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2143350144 is an apocalyptic number.

143350144 is a gapful number since it is divisible by the number (14) 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 143350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

143350144 is an abundant number, since it is smaller than the sum of its proper divisors (185661056).

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

143350144 is a wasteful number, since it uses less digits than its factorization.

143350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 143350144 is about 11972.8920482898. The cubic root of 143350144 is about 523.3586154455.

The spelling of 143350144 in words is "one hundred forty-three million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1112 1151 1946 2224 2302 3892 4448 4604 7784 8057 8896 9208 15568 16114 17792 18416 31136 32228 36832 62272 64456 73664 124544 128912 147328 159989 257824 319978 515648 639956 1031296 1119923 1279912 2239846 2559824 4479692 5119648 8959384 10239296 17918768 20478592 35837536 71675072 143350144