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132311300240 = 2457713327749
BaseRepresentation
bin111101100111001011…
…1100011100010010000
3110122112000001110111102
41323032113203202100
54131433143101430
6140441042203532
712362540332010
oct1731627434220
9418460043442
10132311300240
1151127309219
12217869535a8
13c6279a5302
146592439c40
153695c18345
hex1ece5e3890

132311300240 has 80 divisors (see below), whose sum is σ = 356521824000. Its totient is φ = 44724933120.

The previous prime is 132311300197. The next prime is 132311300257. The reversal of 132311300240 is 42003113231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624115 + ... + 1703634.

It is an arithmetic number, because the mean of its divisors is an integer number (4456522800).

Almost surely, 2132311300240 is an apocalyptic number.

132311300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132311300240 is an abundant number, since it is smaller than the sum of its proper divisors (224210523760).

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

132311300240 is a wasteful number, since it uses less digits than its factorization.

132311300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327840 (or 3327834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132311300240 its reverse (42003113231), we get a palindrome (174314413471).

The spelling of 132311300240 in words is "one hundred thirty-two billion, three hundred eleven million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1420 1988 2485 2840 3976 4970 5680 7952 9940 19880 39760 3327749 6655498 13310996 16638745 23294243 26621992 33277490 46588486 53243984 66554980 93176972 116471215 133109960 186353944 232942430 236270179 266219920 372707888 465884860 472540358 931769720 945080716 1181350895 1653891253 1863539440 1890161432 2362701790 3307782506 3780322864 4725403580 6615565012 8269456265 9450807160 13231130024 16538912530 18901614320 26462260048 33077825060 66155650120 132311300240