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11443438032 = 2431323234667
BaseRepresentation
bin10101010100001010…
…10000000111010000
31002112111211212212020
422222011100013100
5141414010004112
65131304331440
7553402422045
oct125205200720
932474755766
1011443438032
114942582404
122274473b80
131104a67610
147a7b411cc
1546e98348c
hex2aa1501d0

11443438032 has 120 divisors (see below), whose sum is σ = 33281557344. Its totient is φ = 3367871232.

The previous prime is 11443438007. The next prime is 11443438037. The reversal of 11443438032 is 23083434411.

It is a junction number, because it is equal to n+sod(n) for n = 11443437984 and 11443438002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443438037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312763 + ... + 347429.

Almost surely, 211443438032 is an apocalyptic number.

11443438032 is a gapful number since it is divisible by the number (12) 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 11443438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640778672).

11443438032 is an abundant number, since it is smaller than the sum of its proper divisors (21838119312).

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

11443438032 is a wasteful number, since it uses less digits than its factorization.

11443438032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34737 (or 34708 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 11443438032 in words is "eleven billion, four hundred forty-three million, four hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 529 552 598 624 897 1058 1104 1196 1587 1794 2116 2392 3174 3588 4232 4784 6348 6877 7176 8464 12696 13754 14352 20631 25392 27508 34667 41262 55016 69334 82524 104001 110032 138668 165048 208002 277336 330096 416004 450671 554672 797341 832008 901342 1352013 1594682 1664016 1802684 2392023 2704026 3189364 3605368 4784046 5408052 6378728 7210736 9568092 10365433 10816104 12757456 18338843 19136184 20730866 21632208 31096299 36677686 38272368 41461732 55016529 62192598 73355372 82923464 110033058 124385196 146710744 165846928 220066116 238404959 248770392 293421488 440132232 476809918 497540784 715214877 880264464 953619836 1430429754 1907239672 2860859508 3814479344 5721719016 11443438032