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1189413414 = 232719279331
BaseRepresentation
bin100011011100101…
…0000001000100110
310001220002110110200
41012321100020212
54413442212124
6314005131330
741321563410
oct10671201046
93056073420
101189413414
115604359a2
122923b9b46
1315c558927
14b3d759b0
156e648bc9
hex46e50226

1189413414 has 144 divisors (see below), whose sum is σ = 3157240320. Its totient is φ = 316910880.

The previous prime is 1189413397. The next prime is 1189413419. The reversal of 1189413414 is 4143149811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189413419) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3593229 + ... + 3593559.

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

Almost surely, 21189413414 is an apocalyptic number.

1189413414 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 1189413414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578620160).

1189413414 is an abundant number, since it is smaller than the sum of its proper divisors (1967826906).

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

1189413414 is a wasteful number, since it uses less digits than its factorization.

1189413414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1189413414 is about 34487.8734340058. The cubic root of 1189413414 is about 1059.5243546544.

The spelling of 1189413414 in words is "one billion, one hundred eighty-nine million, four hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 79 114 126 133 158 171 237 266 331 342 361 399 474 553 662 711 722 798 993 1083 1106 1197 1422 1501 1659 1986 2166 2317 2394 2527 2979 3002 3249 3318 4503 4634 4977 5054 5958 6289 6498 6951 7581 9006 9954 10507 12578 13509 13902 15162 18867 20853 21014 22743 26149 27018 28519 31521 37734 41706 44023 45486 52298 56601 57038 63042 78447 85557 88046 94563 113202 119491 132069 156894 171114 183043 189126 199633 235341 238982 256671 264138 358473 366086 396207 399266 470682 496831 513342 549129 598899 716946 792414 836437 993662 1075419 1098258 1197798 1490493 1647387 1672874 1796697 2150838 2509311 2980986 3294774 3477817 3593394 4471479 5018622 6955634 7527933 8942958 9439789 10433451 15055866 18879578 20866902 28319367 31300353 56638734 62600706 66078523 84958101 132157046 169916202 198235569 396471138 594706707 1189413414