Search a number
-
+
132440074218 = 23319437142281
BaseRepresentation
bin111101101011000001…
…0110010011111101010
3110122211222100212012000
41323112002302133222
54132214124333333
6140501522231430
712365663025234
oct1732602623752
9418758325160
10132440074218
1151192a72aa1
1221801ab5576
13c648581a2a
1465a559b254
1536a21a3713
hex1ed60b27ea

132440074218 has 128 divisors (see below), whose sum is σ = 321478502400. Its totient is φ = 40274236800.

The previous prime is 132440074213. The next prime is 132440074271. The reversal of 132440074218 is 812470044231.

132440074218 is a `hidden beast` number, since 1 + 32 + 4 + 400 + 7 + 4 + 218 = 666.

It is not an unprimeable number, because it can be changed into a prime (132440074211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3111238 + ... + 3153518.

It is an arithmetic number, because the mean of its divisors is an integer number (2511550800).

Almost surely, 2132440074218 is an apocalyptic number.

132440074218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132440074218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160739251200).

132440074218 is an abundant number, since it is smaller than the sum of its proper divisors (189038428182).

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

132440074218 is a wasteful number, since it uses less digits than its factorization.

132440074218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42425 (or 42419 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 132440074218 in words is "one hundred thirty-two billion, four hundred forty million, seventy-four thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 71 86 114 129 142 171 213 258 342 387 426 513 639 774 817 1026 1161 1278 1349 1634 1917 2322 2451 2698 3053 3834 4047 4902 6106 7353 8094 9159 12141 14706 18318 22059 24282 27477 36423 42281 44118 54954 58007 72846 82431 84562 116014 126843 164862 174021 253686 348042 380529 522063 761058 803339 1044126 1141587 1566189 1606678 1818083 2283174 2410017 3001951 3132378 3636166 4820034 5454249 6003902 7230051 9005853 10908498 14460102 16362747 18011706 21690153 27017559 32725494 34543577 43380306 49088241 54035118 57037069 69087154 81052677 98176482 103630731 114074138 129083893 162105354 171111207 207261462 258167786 310892193 342222414 387251679 513333621 621784386 774503358 932676579 1026667242 1161755037 1540000863 1865353158 2323510074 2452593967 3080001726 3485265111 4905187934 6970530222 7357781901 14715563802 22073345703 44146691406 66220037109 132440074218