Search a number
-
+
132412310140 = 225111741863521
BaseRepresentation
bin111101101010001100…
…0111000001001111100
3110122210001010022000211
41323110120320021330
54132140022411030
6140455051202204
712365205031345
oct1732430701174
9418701108024
10132412310140
115117932a480
12217b4746364
13c6428b0696
1465a1a110cc
15369ea1c12a
hex1ed463827c

132412310140 has 96 divisors (see below), whose sum is σ = 329022606528. Its totient is φ = 44212224000.

The previous prime is 132412310131. The next prime is 132412310201. The reversal of 132412310140 is 41013214231.

It is a super-2 number, since 2×1324123101402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278421 + ... + 585100.

It is an arithmetic number, because the mean of its divisors is an integer number (3427318818).

Almost surely, 2132412310140 is an apocalyptic number.

132412310140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132412310140 is an abundant number, since it is smaller than the sum of its proper divisors (196610296388).

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

132412310140 is a wasteful number, since it uses less digits than its factorization.

132412310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863599 (or 863597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132412310140 its reverse (41013214231), we get a palindrome (173425524371).

The spelling of 132412310140 in words is "one hundred thirty-two billion, four hundred twelve million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 85 110 164 170 187 205 220 340 374 410 451 697 748 820 902 935 1394 1804 1870 2255 2788 3485 3740 4510 6970 7667 9020 13940 15334 30668 38335 76670 153340 863521 1727042 3454084 4317605 8635210 9498731 14679857 17270420 18997462 29359714 35404361 37994924 47493655 58719428 70808722 73399285 94987310 141617444 146798570 161478427 177021805 189974620 293597140 322956854 354043610 389447971 601874137 645913708 708087220 778895942 807392135 1203748274 1557791884 1614784270 1947239855 2407496548 3009370685 3229568540 3894479710 6018741370 6620615507 7788959420 12037482740 13241231014 26482462028 33103077535 66206155070 132412310140