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132014042440 = 23572993717351
BaseRepresentation
bin111101011110010100…
…1100110110101001000
3110121202021201012110021
41322330221212311020
54130331043324230
6140351343030224
712352300563130
oct1727451466510
9417667635407
10132014042440
1150a94538015
122170329b374
13c5ab227717
146564b7bac0
153679a9bc7a
hex1ebca66d48

132014042440 has 128 divisors (see below), whose sum is σ = 351565401600. Its totient is φ = 43652044800.

The previous prime is 132014042399. The next prime is 132014042449. The reversal of 132014042440 is 44240410231.

It is not an unprimeable number, because it can be changed into a prime (132014042449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7599765 + ... + 7617115.

It is an arithmetic number, because the mean of its divisors is an integer number (2746604700).

Almost surely, 2132014042440 is an apocalyptic number.

132014042440 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 132014042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175782700800).

132014042440 is an abundant number, since it is smaller than the sum of its proper divisors (219551359160).

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

132014042440 is a wasteful number, since it uses less digits than its factorization.

132014042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335 (or 18331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 132014042440 its reverse (44240410231), we get a palindrome (176254452671).

The spelling of 132014042440 in words is "one hundred thirty-two billion, fourteen million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 937 1015 1160 1624 1874 2030 3748 4060 4685 6559 7496 8120 9370 13118 17351 18740 26236 27173 32795 34702 37480 52472 54346 65590 69404 86755 108692 121457 131180 135865 138808 173510 190211 217384 242914 262360 271730 347020 380422 485828 503179 543460 607285 694040 760844 951055 971656 1006358 1086920 1214570 1521688 1902110 2012716 2429140 2515895 3522253 3804220 4025432 4858280 5031790 7044506 7608440 10063580 14089012 16257887 17611265 20127160 28178024 32515774 35222530 65031548 70445060 81289435 113805209 130063096 140890120 162578870 227610418 325157740 455220836 471478723 569026045 650315480 910441672 942957446 1138052090 1885914892 2276104180 2357393615 3300351061 3771829784 4552208360 4714787230 6600702122 9429574460 13201404244 16501755305 18859148920 26402808488 33003510610 66007021220 132014042440