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1468119114 = 233711714973
BaseRepresentation
bin101011110000001…
…1011100001001010
310210022112011211000
41113200123201022
511001314302424
6401402515430
751244543440
oct12740334112
93708464730
101468119114
11693795690
1234b805b76
131a520c147
14dcda4b90
1588d4d3c9
hex5781b84a

1468119114 has 128 divisors (see below), whose sum is σ = 4125634560. Its totient is φ = 375883200.

The previous prime is 1468119091. The next prime is 1468119139. The reversal of 1468119114 is 4119118641.

1468119114 is a `hidden beast` number, since 1 + 468 + 1 + 191 + 1 + 4 = 666.

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, 292732 + ... + 297704.

It is an arithmetic number, because the mean of its divisors is an integer number (32231520).

Almost surely, 21468119114 is an apocalyptic number.

1468119114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468119114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062817280).

1468119114 is an abundant number, since it is smaller than the sum of its proper divisors (2657515446).

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

1468119114 is a wasteful number, since it uses less digits than its factorization.

1468119114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5067 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1468119114 is about 38316.0425148527. The cubic root of 1468119114 is about 1136.5462088686.

The spelling of 1468119114 in words is "one billion, four hundred sixty-eight million, one hundred nineteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 99 126 142 154 189 198 213 231 297 378 426 462 497 594 639 693 781 994 1278 1386 1491 1562 1917 2079 2343 2982 3834 4158 4473 4686 4973 5467 7029 8946 9946 10934 13419 14058 14919 16401 21087 26838 29838 32802 34811 42174 44757 49203 54703 69622 89514 98406 104433 109406 134271 147609 164109 208866 268542 295218 313299 328218 353083 382921 492327 626598 706166 765842 939897 984654 1059249 1148763 1476981 1879794 2118498 2297526 2471581 2953962 3177747 3446289 3883913 4943162 6355494 6892578 7414743 7767826 9533241 10338867 11651739 14829486 19066482 20677734 22244229 23303478 27187391 34955217 44488458 54374782 66732687 69910434 81562173 104865651 133465374 163124346 209731302 244686519 489373038 734059557 1468119114