Search a number
-
+
320132210040 = 23335296418713
BaseRepresentation
bin1001010100010010101…
…11011101110101111000
31010121022120020021002000
410222021113131311320
520221112321210130
6403022224141000
732062113613266
oct4521127356570
91117276207060
10320132210040
11113849317715
1252063767760
132425aa16c26
14116ccc01436
1584d9d43260
hex4a895ddd78

320132210040 has 64 divisors (see below), whose sum is σ = 1067107370400. Its totient is φ = 85368589056.

The previous prime is 320132210033. The next prime is 320132210063. The reversal of 320132210040 is 40012231023.

320132210040 is a `hidden beast` number, since 3 + 201 + 322 + 100 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320132209995 and 320132210022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148208277 + ... + 148210436.

Almost surely, 2320132210040 is an apocalyptic number.

320132210040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320132210040 is an abundant number, since it is smaller than the sum of its proper divisors (746975160360).

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

320132210040 is a wasteful number, since it uses less digits than its factorization.

320132210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296418733 (or 296418723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320132210040 its reverse (40012231023), we get a palindrome (360144441063).

The spelling of 320132210040 in words is "three hundred twenty billion, one hundred thirty-two million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 296418713 592837426 889256139 1185674852 1482093565 1778512278 2371349704 2667768417 2964187130 3557024556 4446280695 5335536834 5928374260 7114049112 8003305251 8892561390 10671073668 11856748520 13338842085 16006610502 17785122780 21342147336 26677684170 32013221004 35570245560 40016526255 53355368340 64026442008 80033052510 106710736680 160066105020 320132210040