Search a number
-
+
1146151944 = 23347236097
BaseRepresentation
bin100010001010000…
…1110010000001000
32221212200112220000
41010110032100020
54321403330234
6305422003000
740255062600
oct10424162010
92855615800
101146151944
11538a77a13
1227ba16460
131535bc722
14ac313c00
156a950899
hex4450e408

1146151944 has 120 divisors (see below), whose sum is σ = 3734518590. Its totient is φ = 327462912.

The previous prime is 1146151913. The next prime is 1146151969. The reversal of 1146151944 is 4491516411.

1146151944 is a `hidden beast` number, since 1 + 1 + 461 + 5 + 194 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1098127044 + 48024900 = 33138^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1146151899 and 1146151908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13704 + ... + 49800.

Almost surely, 21146151944 is an apocalyptic number.

1146151944 is a gapful number since it is divisible by the number (14) 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 1146151944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867259295).

1146151944 is an abundant number, since it is smaller than the sum of its proper divisors (2588366646).

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

1146151944 is a wasteful number, since it uses less digits than its factorization.

1146151944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36129 (or 36109 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1146151944 is about 33854.8658836511. The cubic root of 1146151944 is about 1046.5196768894.

The spelling of 1146151944 in words is "one billion, one hundred forty-six million, one hundred fifty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 36097 72194 108291 144388 216582 252679 288776 324873 433164 505358 649746 758037 866328 974619 1010716 1299492 1516074 1768753 1949238 2021432 2274111 2598984 2923857 3032148 3537506 3898476 4548222 5306259 5847714 6064296 6822333 7075012 7796952 9096444 10612518 11695428 13644666 14150024 15918777 18192888 20466999 21225036 23390856 27289332 31837554 40933998 42450072 47756331 54578664 63675108 81867996 95512662 127350216 143268993 163735992 191025324 286537986 382050648 573075972 1146151944