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132010345344 = 2731747430259
BaseRepresentation
bin111101011110001101…
…1100000001110000000
3110121202000202100222210
41322330123200032000
54130324122022334
6140351131502120
712352224264333
oct1727433401600
9417660670883
10132010345344
1150a92442369
1221701bb7940
13c5aa5319a7
14656449861a
1536795bb5e9
hex1ebc6e0380

132010345344 has 128 divisors (see below), whose sum is σ = 379179532800. Its totient is φ = 40533745664.

The previous prime is 132010345339. The next prime is 132010345367. The reversal of 132010345344 is 443543010231.

It is a tau number, because it is divible by the number of its divisors (128).

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, 91687 + ... + 521945.

It is an arithmetic number, because the mean of its divisors is an integer number (2962340100).

Almost surely, 2132010345344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189589766400).

132010345344 is an abundant number, since it is smaller than the sum of its proper divisors (247169187456).

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

132010345344 is a wasteful number, since it uses less digits than its factorization.

132010345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430340 (or 430328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132010345344 its reverse (443543010231), we get a palindrome (575553355575).

The spelling of 132010345344 in words is "one hundred thirty-two billion, ten million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 272 282 376 384 408 544 564 752 799 816 1088 1128 1504 1598 1632 2176 2256 2397 3008 3196 3264 4512 4794 6016 6392 6528 9024 9588 12784 18048 19176 25568 38352 51136 76704 102272 153408 306816 430259 860518 1290777 1721036 2581554 3442072 5163108 6884144 7314403 10326216 13768288 14628806 20222173 20652432 21943209 27536576 29257612 40444346 41304864 43886418 55073152 58515224 60666519 80888692 82609728 87772836 117030448 121333038 161777384 165219456 175545672 234060896 242666076 323554768 343776941 351091344 468121792 485332152 647109536 687553882 702182688 936243584 970664304 1031330823 1294219072 1375107764 1404365376 1941328608 2062661646 2588438144 2750215528 2808730752 3882657216 4125323292 5500431056 7765314432 8250646584 11000862112 16501293168 22001724224 33002586336 44003448448 66005172672 132010345344