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1440664512 = 26371956417
BaseRepresentation
bin101010111011110…
…1100101111000000
310201101212100011220
41111313230233000
510422302231022
6354542235040
750462306040
oct12567545700
93641770156
101440664512
1167a243631
12342585a80
1319c618911
14d9499720
158672885c
hex55decbc0

1440664512 has 112 divisors (see below), whose sum is σ = 4585655040. Its totient is φ = 389947392.

The previous prime is 1440664483. The next prime is 1440664529. The reversal of 1440664512 is 2154660441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14406645122 = 4151028472272396288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2673 + ... + 53744.

Almost surely, 21440664512 is an apocalyptic number.

1440664512 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 1440664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292827520).

1440664512 is an abundant number, since it is smaller than the sum of its proper divisors (3144990528).

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

1440664512 is a wasteful number, since it uses less digits than its factorization.

1440664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56458 (or 56448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1440664512 is about 37956.0866265214. The cubic root of 1440664512 is about 1129.4169106485.

The spelling of 1440664512 in words is "one billion, four hundred forty million, six hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 56417 112834 169251 225668 338502 394919 451336 677004 789838 902672 1071923 1184757 1354008 1579676 1805344 2143846 2369514 2708016 3159352 3215769 3610688 4287692 4739028 5416032 6318704 6431538 7503461 8575384 9478056 10832064 12637408 12863076 15006922 17150768 18956112 22510383 25274816 25726152 30013844 34301536 37912224 45020766 51452304 60027688 68603072 75824448 90041532 102904608 120055376 180083064 205809216 240110752 360166128 480221504 720332256 1440664512