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1440001134 = 23211134711903
BaseRepresentation
bin101010111010100…
…1010110001101110
310201100121122012100
41111311022301232
510422120014014
6354520115530
750453544015
oct12565126156
93640548170
101440001134
11679930190
12342305ba6
1319c4459a0
14d9365a7c
1586647009
hex55d4ac6e

1440001134 has 96 divisors (see below), whose sum is σ = 3743760384. Its totient is φ = 394194240.

The previous prime is 1440001117. The next prime is 1440001153. The reversal of 1440001134 is 4311000441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 115027 + ... + 126929.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 21440001134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440001134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871880192).

1440001134 is an abundant number, since it is smaller than the sum of its proper divisors (2303759250).

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

1440001134 is a wasteful number, since it uses less digits than its factorization.

1440001134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1440001134 is about 37947.3468637796. The cubic root of 1440001134 is about 1129.2435310835.

Adding to 1440001134 its reverse (4311000441), we get a palindrome (5751001575).

The spelling of 1440001134 in words is "one billion, four hundred forty million, one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 47 66 78 94 99 117 141 143 198 234 282 286 423 429 517 611 846 858 1034 1222 1287 1551 1833 2574 3102 3666 4653 5499 6721 9306 10998 11903 13442 20163 23806 35709 40326 60489 71418 107127 120978 130933 154739 214254 261866 309478 392799 464217 559441 785598 928434 1118882 1178397 1392651 1678323 1702129 2356794 2785302 3356646 3404258 5034969 5106387 6153851 7272733 10069938 10212774 12307702 14545466 15319161 18461553 21818199 30638322 36923106 43636398 55384659 65454597 80000063 110769318 130909194 160000126 240000189 480000378 720000567 1440001134