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1438071096 = 2337116112757
BaseRepresentation
bin101010110110111…
…0011100100111000
310201012222120200110
41111231303210320
510421121233341
6354410504320
750431255050
oct12555634470
93635876613
101438071096
11678832110
123417350a0
1319bc1b357
14d8dc2560
15863b5216
hex55b73938

1438071096 has 128 divisors (see below), whose sum is σ = 4556136960. Its totient is φ = 367372800.

The previous prime is 1438071077. The next prime is 1438071137. The reversal of 1438071096 is 6901708341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106350 + ... + 119106.

It is an arithmetic number, because the mean of its divisors is an integer number (35594820).

Almost surely, 21438071096 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 1438071096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278068480).

1438071096 is an abundant number, since it is smaller than the sum of its proper divisors (3118065864).

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

1438071096 is a wasteful number, since it uses less digits than its factorization.

1438071096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1438071096 is about 37921.9078633974. The cubic root of 1438071096 is about 1128.7387959776.

The spelling of 1438071096 in words is "one billion, four hundred thirty-eight million, seventy-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 61 66 77 84 88 122 132 154 168 183 231 244 264 308 366 427 462 488 616 671 732 854 924 1281 1342 1464 1708 1848 2013 2562 2684 3416 4026 4697 5124 5368 8052 9394 10248 12757 14091 16104 18788 25514 28182 37576 38271 51028 56364 76542 89299 102056 112728 140327 153084 178598 267897 280654 306168 357196 420981 535794 561308 714392 778177 841962 982289 1071588 1122616 1556354 1683924 1964578 2143176 2334531 2946867 3112708 3367848 3929156 4669062 5447239 5893734 6225416 7858312 8559947 9338124 10894478 11787468 16341717 17119894 18676248 21788956 23574936 25679841 32683434 34239788 43577912 51359682 59919629 65366868 68479576 102719364 119839258 130733736 179758887 205438728 239678516 359517774 479357032 719035548 1438071096