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1144660416 = 26337592731
BaseRepresentation
bin100010000111010…
…0010000111000000
32221202212202220020
41010032202013000
54321013113131
6305330013440
740236311244
oct10416420700
92852782806
101144660416
11538149349
1227b417280
131531b9873
14ac046424
156a758996
hex443a21c0

1144660416 has 112 divisors (see below), whose sum is σ = 3164311680. Its totient is φ = 364815360.

The previous prime is 1144660411. The next prime is 1144660459. The reversal of 1144660416 is 6140664411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144660411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417771 + ... + 420501.

Almost surely, 21144660416 is an apocalyptic number.

1144660416 is a gapful number since it is divisible by the number (16) 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 1144660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582155840).

1144660416 is an abundant number, since it is smaller than the sum of its proper divisors (2019651264).

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

1144660416 is a wasteful number, since it uses less digits than its factorization.

1144660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1144660416 is about 33832.8304461805. The cubic root of 1144660416 is about 1046.0655221591.

The spelling of 1144660416 in words is "one billion, one hundred forty-four million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 64 74 96 111 118 148 177 192 222 236 296 354 444 472 592 708 888 944 1184 1416 1776 1888 2183 2368 2731 2832 3552 3776 4366 5462 5664 6549 7104 8193 8732 10924 11328 13098 16386 17464 21848 26196 32772 34928 43696 52392 65544 69856 87392 101047 104784 131088 139712 161129 174784 202094 209568 262176 303141 322258 404188 419136 483387 524352 606282 644516 808376 966774 1212564 1289032 1616752 1933548 2425128 2578064 3233504 3867096 4850256 5156128 5961773 6467008 7734192 9700512 10312256 11923546 15468384 17885319 19401024 23847092 30936768 35770638 47694184 71541276 95388368 143082552 190776736 286165104 381553472 572330208 1144660416