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143014144 = 287213877
BaseRepresentation
bin10001000011000…
…11100100000000
3100222002212112011
420201203210000
5243102423034
622105142304
73354412600
oct1041434400
9328085464
10143014144
1173800709
123ba8a994
1323824270
1414dcac00
15c84e864
hex8863900

143014144 has 108 divisors (see below), whose sum is σ = 358029084. Its totient is φ = 56512512.

The previous prime is 143014127. The next prime is 143014147. The reversal of 143014144 is 441410341.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 72454144 = 8400^2 + 8512^2 .

It is a super-3 number, since 3×1430141443 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143014147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162634 + ... + 163510.

Almost surely, 2143014144 is an apocalyptic number.

143014144 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 143014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179014542).

143014144 is an abundant number, since it is smaller than the sum of its proper divisors (215014940).

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

143014144 is an equidigital number, since it uses as much as digits as its factorization.

143014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 143014144 is about 11958.8521188281. The cubic root of 143014144 is about 522.9493935218.

Adding to 143014144 its reverse (441410341), we get a palindrome (584424485).

It can be divided in two parts, 14 and 3014144, that multiplied together give a square (42198016 = 64962).

The spelling of 143014144 in words is "one hundred forty-three million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 637 728 784 832 877 896 1274 1456 1568 1664 1754 1792 2548 2912 3136 3328 3508 5096 5824 6139 6272 7016 10192 11401 11648 12278 12544 14032 20384 22802 23296 24556 28064 40768 42973 45604 49112 56128 79807 81536 85946 91208 98224 112256 159614 163072 171892 182416 196448 224512 319228 343784 364832 392896 558649 638456 687568 729664 785792 1117298 1276912 1375136 1459328 1571584 2234596 2553824 2750272 2918656 4469192 5107648 5500544 8938384 10215296 11001088 17876768 20430592 35753536 71507072 143014144