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132200217040 = 245191012932939
BaseRepresentation
bin111101100011110111…
…1110011100111010000
3110122020021000211222211
41323013233303213100
54131221223421130
6140422033241504
712360021206203
oct1730757634720
9418207024884
10132200217040
115107a637821
1221755703294
13c60a980bc8
1465817a193a
15368b0c4a2a
hex1ec7bf39d0

132200217040 has 160 divisors (see below), whose sum is σ = 327972758400. Its totient is φ = 49414809600.

The previous prime is 132200217031. The next prime is 132200217041. The reversal of 132200217040 is 40712002231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200217041) 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, 44979891 + ... + 44982829.

It is an arithmetic number, because the mean of its divisors is an integer number (2049829740).

Almost surely, 2132200217040 is an apocalyptic number.

132200217040 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 132200217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163986379200).

132200217040 is an abundant number, since it is smaller than the sum of its proper divisors (195772541360).

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

132200217040 is a wasteful number, since it uses less digits than its factorization.

132200217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 132200217040 its reverse (40712002231), we get a palindrome (172912219271).

The spelling of 132200217040 in words is "one hundred thirty-two billion, two hundred million, two hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 293 304 380 404 505 586 760 808 1010 1172 1465 1520 1616 1919 2020 2344 2930 2939 3838 4040 4688 5567 5860 5878 7676 8080 9595 11134 11720 11756 14695 15352 19190 22268 23440 23512 27835 29390 29593 30704 38380 44536 47024 55670 55841 58780 59186 76760 89072 111340 111682 117560 118372 147965 153520 222680 223364 235120 236744 279205 295930 296839 445360 446728 473488 558410 562267 591860 593678 861127 893456 1116820 1124534 1183720 1187356 1484195 1722254 2233640 2249068 2367440 2374712 2811335 2968390 3444508 4305635 4467280 4498136 4749424 5622670 5639941 5936780 6889016 8611270 8996272 11245340 11279882 11873560 13778032 16361413 17222540 22490680 22559764 23747120 28199705 32722826 34445080 44981360 45119528 56399410 65445652 68890160 81807065 86973827 90239056 112798820 130891304 163614130 173947654 225597640 261782608 327228260 347895308 434869135 451195280 654456520 695790616 869738270 1308913040 1391581232 1652502713 1739476540 3305005426 3478953080 6610010852 6957906160 8262513565 13220021704 16525027130 26440043408 33050054260 66100108520 132200217040