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132124231322240 = 275474392427903
BaseRepresentation
bin11110000010101010010001…
…110111111100101010000000
3122022210221201212000012010212
4132002222101313330222000
5114304210411204302430
61145001011155213252
736554442423056423
oct3602522167745200
9568727655005125
10132124231322240
113910a632123163
121299a6898a7228
135895352828391
14248abbdd219ba
151041cc3c46b95
hex782a91dfca80

132124231322240 has 64 divisors (see below), whose sum is σ = 322579905269760. Its totient is φ = 51725230973952.

The previous prime is 132124231322207. The next prime is 132124231322267. The reversal of 132124231322240 is 42223132421231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 132124231322197 and 132124231322206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2196183872 + ... + 2196244031.

It is an arithmetic number, because the mean of its divisors is an integer number (5040311019840).

Almost surely, 2132124231322240 is an apocalyptic number.

132124231322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124231322240 is an abundant number, since it is smaller than the sum of its proper divisors (190455673947520).

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

132124231322240 is an equidigital number, since it uses as much as digits as its factorization.

132124231322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392427969 (or 4392427957 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132124231322240 its reverse (42223132421231), we get a palindrome (174347363743471).

The spelling of 132124231322240 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 4392427903 8784855806 17569711612 21962139515 35139423224 43924279030 70278846448 87848558060 140557692896 175697116120 206444111441 281115385792 351394232240 412888222882 562230771584 702788464480 825776445764 1032220557205 1405576928960 1651552891528 2064441114410 2811153857920 3303105783056 4128882228820 6606211566112 8257764457640 13212423132224 16515528915280 26424846264448 33031057830560 66062115661120 132124231322240