Search a number
-
+
1304149391118 = 2327347138121599
BaseRepresentation
bin10010111110100101010…
…111000111011100001110
311121200020102011100202200
4102332211113013130032
5132331344221003433
62435041251302330
7163136015630520
oct22764527073416
94550212140680
101304149391118
114630a5372152
12190904baa9a6
1395c99963862
144719a6a9a10
1523dcd359613
hex12fa55c770e

1304149391118 has 96 divisors (see below), whose sum is σ = 3241123891200. Its totient is φ = 371254069440.

The previous prime is 1304149391113. The next prime is 1304149391119. The reversal of 1304149391118 is 8111939414031.

1304149391118 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 149 + 391 + 118 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304149391113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60369283 + ... + 60390881.

It is an arithmetic number, because the mean of its divisors is an integer number (33761707200).

Almost surely, 21304149391118 is an apocalyptic number.

1304149391118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1304149391118 is an abundant number, since it is smaller than the sum of its proper divisors (1936974500082).

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

1304149391118 is a wasteful number, since it uses less digits than its factorization.

1304149391118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23342 (or 23339 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1304149391118 in words is "one trillion, three hundred four billion, one hundred forty-nine million, three hundred ninety-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 347 694 1041 1381 2082 2429 2762 3123 4143 4858 6246 7287 8286 9667 12429 14574 19334 21599 21861 24858 29001 43198 43722 58002 64797 87003 129594 151193 174006 194391 302386 388782 453579 479207 907158 958414 1360737 1437621 2721474 2875242 3354449 4312863 6708898 7494853 8625726 10063347 14989706 20126694 22484559 29828219 30190041 44969118 52463971 59656438 60380082 67453677 89484657 104927942 134907354 157391913 178969314 208797533 268453971 314783826 417595066 472175739 536907942 626392599 944351478 1252785198 1879177797 3758355594 10350391993 20700783986 31051175979 62102351958 72452743951 93153527937 144905487902 186307055874 217358231853 434716463706 652074695559 1304149391118