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1044200214 = 2331719131457
BaseRepresentation
bin111110001111010…
…011101100010110
32200202211212102000
4332033103230112
54114303401324
6251340500130
734606361331
oct7617235426
92622755360
101044200214
11496473092
1225184a646
13138444765
149c975618
1561a129c9
hex3e3d3b16

1044200214 has 128 divisors (see below), whose sum is σ = 2611699200. Its totient is φ = 307307520.

The previous prime is 1044200167. The next prime is 1044200251. The reversal of 1044200214 is 4120024401.

1044200214 is a `hidden beast` number, since 10 + 442 + 0 + 0 + 214 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2284674 + ... + 2285130.

It is an arithmetic number, because the mean of its divisors is an integer number (20403900).

Almost surely, 21044200214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044200214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305849600).

1044200214 is an abundant number, since it is smaller than the sum of its proper divisors (1567498986).

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

1044200214 is a wasteful number, since it uses less digits than its factorization.

1044200214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1044200214 is about 32314.0869281495. The cubic root of 1044200214 is about 1014.5215096857.

Adding to 1044200214 its reverse (4120024401), we get a palindrome (5164224615).

The spelling of 1044200214 in words is "one billion, forty-four million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 131 153 171 262 306 323 342 393 457 459 513 646 786 914 918 969 1026 1179 1371 1938 2227 2358 2489 2742 2907 3537 4113 4454 4978 5814 6681 7074 7467 7769 8226 8683 8721 12339 13362 14934 15538 17366 17442 20043 22401 23307 24678 26049 40086 42313 44802 46614 52098 59867 60129 67203 69921 78147 84626 119734 120258 126939 134406 139842 147611 156294 179601 209763 234441 253878 295222 359202 380817 419526 442833 468882 538803 761634 885666 1017739 1077606 1137473 1142451 1328499 1616409 2035478 2274946 2284902 2656998 3053217 3232818 3412419 3985497 6106434 6824838 7970994 9159651 10237257 18319302 19337041 20474514 27478953 30711771 38674082 54957906 58011123 61423542 116022246 174033369 348066738 522100107 1044200214