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1168944714 = 232719231829
BaseRepresentation
bin100010110101100…
…1010111001001010
310000110120112200200
41011223022321022
54343222212324
6311554313030
740652603040
oct10553127112
93013515620
101168944714
1154a925513
12287588776
13158240082
14b1368390
156c953ec9
hex45acae4a

1168944714 has 144 divisors (see below), whose sum is σ = 3157240320. Its totient is φ = 305830080.

The previous prime is 1168944697. The next prime is 1168944739. The reversal of 1168944714 is 4174498611.

1168944714 is a `hidden beast` number, since 116 + 89 + 447 + 14 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1168944714.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1409652 + ... + 1410480.

It is an arithmetic number, because the mean of its divisors is an integer number (21925280).

Almost surely, 21168944714 is an apocalyptic number.

1168944714 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 1168944714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578620160).

1168944714 is an abundant number, since it is smaller than the sum of its proper divisors (1988295606).

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

1168944714 is a wasteful number, since it uses less digits than its factorization.

1168944714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1168944714 is about 34189.8334889189. The cubic root of 1168944714 is about 1053.4113429869.

The spelling of 1168944714 in words is "one billion, one hundred sixty-eight million, nine hundred forty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 361 399 434 558 589 651 722 798 829 1083 1178 1197 1302 1658 1767 1953 2166 2394 2487 2527 3249 3534 3906 4123 4974 5054 5301 5803 6498 7461 7581 8246 10602 11191 11606 12369 14922 15162 15751 17409 22382 22743 24738 25699 31502 33573 34818 37107 45486 47253 51398 52227 67146 74214 77097 78337 94506 100719 104454 110257 141759 154194 156674 179893 201438 220514 231291 235011 283518 299269 330771 359786 462582 470022 488281 539679 598538 661542 705033 897807 976562 992313 1079358 1410066 1464843 1619037 1795614 1984626 2094883 2693421 2929686 3238074 3417967 4189766 4394529 5386842 6284649 6835934 8789058 9277339 10253901 12569298 18554678 18853947 20507802 27832017 30761703 37707894 55664034 61523406 64941373 83496051 129882746 166992102 194824119 389648238 584472357 1168944714