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132530322240 = 2632546017473
BaseRepresentation
bin111101101101101101…
…1000011101101000000
3110200002021011221012100
41323123123003231000
54132410230302430
6140514504430400
712401140103061
oct1733333035500
9420067157170
10132530322240
1151229a03738
1221828178400
13c66118c824
1465b3570568
1536aa07d960
hex1edb6c3b40

132530322240 has 84 divisors (see below), whose sum is σ = 455849097444. Its totient is φ = 35341418496.

The previous prime is 132530322233. The next prime is 132530322251. The reversal of 132530322240 is 42223035231.

132530322240 is a `hidden beast` number, since 132 + 5 + 303 + 2 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36514623744 + 96015698496 = 191088^2 + 309864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23005857 + ... + 23011616.

Almost surely, 2132530322240 is an apocalyptic number.

132530322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132530322240 is an abundant number, since it is smaller than the sum of its proper divisors (323318775204).

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

132530322240 is a wasteful number, since it uses less digits than its factorization.

132530322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46017496 (or 46017483 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 132530322240 its reverse (42223035231), we get a palindrome (174753357471).

The spelling of 132530322240 in words is "one hundred thirty-two billion, five hundred thirty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 46017473 92034946 138052419 184069892 230087365 276104838 368139784 414157257 460174730 552209676 690262095 736279568 828314514 920349460 1104419352 1380524190 1472559136 1656629028 1840698920 2070786285 2208838704 2761048380 2945118272 3313258056 3681397840 4141572570 4417677408 5522096760 6626516112 7362795680 8283145140 8835354816 11044193520 13253032224 14725591360 16566290280 22088387040 26506064448 33132580560 44176774080 66265161120 132530322240