Search a number
-
+
132113312440 = 235171013191791
BaseRepresentation
bin111101100001010010…
…0010010101010111000
3110122000012111122021221
41323002210102222320
54131032001444230
6140405250441424
712354614425054
oct1730244225270
9418005448257
10132113312440
115103558003a
1221730593274
13c5c5973b75
14657401cc64
15368365a27a
hex1ec2912ab8

132113312440 has 64 divisors (see below), whose sum is σ = 315052882560. Its totient is φ = 49687418880.

The previous prime is 132113312437. The next prime is 132113312453. The reversal of 132113312440 is 44213311231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592945 + ... + 784735.

It is an arithmetic number, because the mean of its divisors is an integer number (4922701290).

Almost surely, 2132113312440 is an apocalyptic number.

132113312440 is a gapful number since it is divisible by the number (10) 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 132113312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157526441280).

132113312440 is an abundant number, since it is smaller than the sum of its proper divisors (182939570120).

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

132113312440 is a wasteful number, since it uses less digits than its factorization.

132113312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192832 (or 192828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 132113312440 its reverse (44213311231), we get a palindrome (176326623671).

The spelling of 132113312440 in words is "one hundred thirty-two billion, one hundred thirteen million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1013 2026 4052 5065 8104 10130 17221 20260 34442 40520 68884 86105 137768 172210 191791 344420 383582 688840 767164 958955 1534328 1917910 3260447 3835820 6520894 7671640 13041788 16302235 26083576 32604470 65208940 130417880 194284283 388568566 777137132 971421415 1554274264 1942842830 3302832811 3885685660 6605665622 7771371320 13211331244 16514164055 26422662488 33028328110 66056656220 132113312440