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1440001116 = 2232172698747
BaseRepresentation
bin101010111010100…
…1010110001011100
310201100121122011200
41111311022301130
510422120013431
6354520115500
750453543661
oct12565126134
93640548150
101440001116
11679930174
12342305b90
1319c445988
14d9365a68
1586646ee6
hex55d4ac5c

1440001116 has 72 divisors (see below), whose sum is σ = 3868890480. Its totient is φ = 450034176.

The previous prime is 1440001111. The next prime is 1440001117. The reversal of 1440001116 is 6111000441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440001111) 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, 160255 + ... + 169001.

It is an arithmetic number, because the mean of its divisors is an integer number (53734590).

Almost surely, 21440001116 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 1440001116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934445240).

1440001116 is an abundant number, since it is smaller than the sum of its proper divisors (2428889364).

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

1440001116 is a wasteful number, since it uses less digits than its factorization.

1440001116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1440001116 is about 37947.3466266088. The cubic root of 1440001116 is about 1129.2435263783.

Adding to 1440001116 its reverse (6111000441), we get a palindrome (7551001557).

The spelling of 1440001116 in words is "one billion, four hundred forty million, one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 269 306 538 612 807 1076 1614 2421 3228 4573 4842 8747 9146 9684 13719 17494 18292 26241 27438 34988 41157 52482 54876 78723 82314 104964 148699 157446 164628 297398 314892 446097 594796 892194 1338291 1784388 2352943 2676582 4705886 5353164 7058829 9411772 14117658 21176487 28235316 40000031 42352974 80000062 84705948 120000093 160000124 240000186 360000279 480000372 720000558 1440001116