Search a number
-
+
132114134310040 = 23598321291578193
BaseRepresentation
bin11110000010100000111000…
…000010111001110010011000
3122022202222200011200211022001
4132002200320002321302120
5114304024221340410130
61144552221225210344
736553634256635161
oct3602407002716230
9568688604624261
10132114134310040
1139106320678483
12129987303309b4
135894403a0234c
14248a502d48768
1510418d25c46ca
hex7828380b9c98

132114134310040 has 64 divisors (see below), whose sum is σ = 297699153163200. Its totient is φ = 52767064154112.

The previous prime is 132114134310017. The next prime is 132114134310101. The reversal of 132114134310040 is 40013431411231.

It is a junction number, because it is equal to n+sod(n) for n = 132114134309990 and 132114134310008.

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 15 ways as a sum of consecutive naturals, for example, 82923184 + ... + 84501376.

It is an arithmetic number, because the mean of its divisors is an integer number (4651549268175).

Almost surely, 2132114134310040 is an apocalyptic number.

132114134310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114134310040 is an abundant number, since it is smaller than the sum of its proper divisors (165585018853160).

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

132114134310040 is a wasteful number, since it uses less digits than its factorization.

132114134310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581316 (or 1581312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132114134310040 its reverse (40013431411231), we get a palindrome (172127565721271).

The spelling of 132114134310040 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 983 1966 2129 3932 4258 4915 7864 8516 9830 10645 17032 19660 21290 39320 42580 85160 1578193 2092807 3156386 4185614 6312772 7890965 8371228 10464035 12625544 15781930 16742456 20928070 31563860 41856140 63127720 83712280 1551363719 3102727438 3359972897 6205454876 6719945794 7756818595 12410909752 13439891588 15513637190 16799864485 26879783176 31027274380 33599728970 62054548760 67199457940 134398915880 3302853357751 6605706715502 13211413431004 16514266788755 26422826862008 33028533577510 66057067155020 132114134310040