Search a number
-
+
1178014234068 = 22327101339113649
BaseRepresentation
bin10001001001000111000…
…111101011010111010100
311011121122211121110222100
4101021013013223113110
5123300033120442233
62301101113202100
7151052201530050
oct21110707532724
94147584543870
101178014234068
11414658362801
12170382700330
13871176aa859
1441032610c60
152099996e813
hex112471eb5d4

1178014234068 has 144 divisors (see below), whose sum is σ = 3438112204800. Its totient is φ = 333120384000.

The previous prime is 1178014234013. The next prime is 1178014234121. The reversal of 1178014234068 is 8604324108711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86300908 + ... + 86314556.

It is an arithmetic number, because the mean of its divisors is an integer number (23875779200).

Almost surely, 21178014234068 is an apocalyptic number.

1178014234068 is a gapful number since it is divisible by the number (18) 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 1178014234068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719056102400).

1178014234068 is an abundant number, since it is smaller than the sum of its proper divisors (2260097970732).

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

1178014234068 is a wasteful number, since it uses less digits than its factorization.

1178014234068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1178014234068 in words is "one trillion, one hundred seventy-eight billion, fourteen million, two hundred thirty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3391 3636 4242 6363 6782 8484 10173 12726 13564 13649 20346 23737 25452 27298 30519 40692 40947 47474 54596 61038 71211 81894 94948 95543 122076 122841 142422 163788 191086 213633 245682 284844 286629 342491 382172 427266 491364 573258 684982 854532 859887 1027473 1146516 1369964 1378549 1719774 2054946 2397437 2757098 3082419 3439548 4109892 4135647 4794874 5514196 6164838 7192311 8271294 9589748 9649843 12329676 12406941 14384622 16542588 19299686 21576933 24813882 28769244 28949529 38599372 43153866 46283759 49627764 57899058 86307732 86848587 92567518 115798116 138851277 173697174 185135036 277702554 323986313 347394348 416553831 555405108 647972626 833107662 971958939 1295945252 1666215324 1943917878 2915876817 3887835756 4674659659 5831753634 9349319318 11663507268 14023978977 18698638636 28047957954 32722617613 42071936931 56095915908 65445235226 84143873862 98167852839 130890470452 168287747724 196335705678 294503558517 392671411356 589007117034 1178014234068