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1443007136 = 251941107541
BaseRepresentation
bin101011000000010…
…1000101010100000
310201120021100122202
41112000220222200
510423402212021
6355104352332
750521233614
oct12600505240
93646240582
101443007136
116805a368a
123433156a8
1319cc58c9c
14d9909344
1586a3ca0b
hex56028aa0

1443007136 has 96 divisors (see below), whose sum is σ = 3097725120. Its totient is φ = 659404800.

The previous prime is 1443007123. The next prime is 1443007151. The reversal of 1443007136 is 6317003441.

It is a junction number, because it is equal to n+sod(n) for n = 1443007099 and 1443007108.

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, 2667026 + ... + 2667566.

It is an arithmetic number, because the mean of its divisors is an integer number (32267970).

Almost surely, 21443007136 is an apocalyptic number.

1443007136 is a gapful number since it is divisible by the number (16) 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 1443007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548862560).

1443007136 is an abundant number, since it is smaller than the sum of its proper divisors (1654717984).

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

1443007136 is a wasteful number, since it uses less digits than its factorization.

1443007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1443007136 is about 37986.9337535948. The cubic root of 1443007136 is about 1130.0287501496.

The spelling of 1443007136 in words is "one billion, four hundred forty-three million, seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 107 152 164 214 304 328 428 541 608 656 779 856 1082 1312 1558 1712 2033 2164 3116 3424 4066 4328 4387 6232 8132 8656 8774 10279 12464 16264 17312 17548 20558 22181 24928 32528 35096 41116 44362 57887 65056 70192 82232 83353 88724 115774 140384 164464 166706 177448 231548 328928 333412 354896 421439 463096 666824 709792 842878 926192 1099853 1333648 1685756 1852384 2199706 2373367 2667296 3371512 4399412 4746734 6743024 8798824 9493468 13486048 17597648 18986936 35195296 37973872 45093973 75947744 90187946 180375892 360751784 721503568 1443007136