Search a number
-
+
132140302324032 = 26310323932792249
BaseRepresentation
bin11110000010111001001111…
…110001111101000101000000
3122022212111012212102200002110
4132002321033301331011000
5114304441314343332112
61145012230012415320
736555551606245152
oct3602711761750500
9568774185380073
10132140302324032
1139116429853722
12129a1813a77540
135896a142110b2
14248b8a6496ad2
151042414ab513c
hex782e4fc7d140

132140302324032 has 112 divisors (see below), whose sum is σ = 353163243888000. Its totient is φ = 43600885506048.

The previous prime is 132140302324031. The next prime is 132140302324039. The reversal of 132140302324032 is 230423203041231.

It is a happy number.

It is a super-2 number, since 2×1321403023240322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132140302324031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45927844 + ... + 48720092.

It is an arithmetic number, because the mean of its divisors is an integer number (3153243249000).

Almost surely, 2132140302324032 is an apocalyptic number.

132140302324032 is a gapful number since it is divisible by the number (12) 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 132140302324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176581621944000).

132140302324032 is an abundant number, since it is smaller than the sum of its proper divisors (221022941563968).

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

132140302324032 is a wasteful number, since it uses less digits than its factorization.

132140302324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794760 (or 2794750 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132140302324032 its reverse (230423203041231), we get a palindrome (362563505365263).

The spelling of 132140302324032 in words is "one hundred thirty-two trillion, one hundred forty billion, three hundred two million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2393 2472 3296 4786 4944 6592 7179 9572 9888 14358 19144 19776 28716 38288 57432 76576 114864 153152 229728 246479 459456 492958 739437 985916 1478874 1971832 2792249 2957748 3943664 5584498 5915496 7887328 8376747 11168996 11830992 15774656 16753494 22337992 23661984 33506988 44675984 47323968 67013976 89351968 134027952 178703936 268055904 287601647 536111808 575203294 862804941 1150406588 1725609882 2300813176 3451219764 4601626352 6681851857 6902439528 9203252704 13363703714 13804879056 18406505408 20045555571 26727407428 27609758112 40091111142 53454814856 55219516224 80182222284 106909629712 160364444568 213819259424 320728889136 427638518848 641457778272 688230741271 1282915556544 1376461482542 2064692223813 2752922965084 4129384447626 5505845930168 8258768895252 11011691860336 16517537790504 22023383720672 33035075581008 44046767441344 66070151162016 132140302324032