Search a number
-
+
132405023148112 = 2411131930231007527
BaseRepresentation
bin11110000110101111110010…
…010111110000100001010000
3122100210210111201100212112101
4132012233302113300201100
5114323310441411214422
61145334010010410144
736613642622155321
oct3606576227604120
9570723451325471
10132405023148112
1139208722858990
1212a24b92430954
1358b598102c780
14249a619dba448
151049259e49c27
hex786bf25f0850

132405023148112 has 160 divisors (see below), whose sum is σ = 317351008235520. Its totient is φ = 52613168924160.

The previous prime is 132405023148103. The next prime is 132405023148113. The reversal of 132405023148112 is 211841320504231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132405023148113) 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 31 ways as a sum of consecutive naturals, for example, 130912093 + ... + 131919619.

It is an arithmetic number, because the mean of its divisors is an integer number (1983443801472).

Almost surely, 2132405023148112 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 132405023148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158675504117760).

132405023148112 is an abundant number, since it is smaller than the sum of its proper divisors (184945985087408).

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

132405023148112 is a wasteful number, since it uses less digits than its factorization.

132405023148112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010601 (or 1010595 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 132405023148112 in words is "one hundred thirty-two trillion, four hundred five billion, twenty-three million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3023 3344 3952 5434 6046 10868 12092 21736 24184 33253 39299 43472 48368 57437 66506 78598 114874 133012 157196 229748 266024 314392 432289 459496 532048 628784 631807 746681 864578 918992 1007527 1263614 1493362 1729156 2015054 2527228 2986724 3458312 4030108 5054456 5973448 6916624 8060216 8213491 10108912 11082797 11946896 13097851 16120432 16426982 19143013 22165594 26195702 32853964 38286026 44331188 52391404 65707928 76572052 88662376 104782808 131415856 144076361 153144104 177324752 209565616 210573143 248859169 288152722 306288208 421146286 497718338 576305444 842292572 995436676 1152610888 1684585144 1990873352 2305221776 2737450859 3045754121 3369170288 3981746704 5474901718 6091508242 10949803436 12183016484 21899606872 24366032968 33503295331 39594803573 43799213744 48732065936 57869328299 67006590662 79189607146 115738656598 134013181324 158379214292 231477313196 268026362648 316758428584 435542839303 462954626392 536052725296 633516857168 636562611289 752301267887 871085678606 925909252784 1273125222578 1504602535774 1742171357212 2546250445156 3009205071548 3484342714424 5092500890312 6018410143096 6968685428848 8275313946757 10185001780624 12036820286192 16550627893514 33101255787028 66202511574056 132405023148112