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132302503040 = 275743278227
BaseRepresentation
bin111101100110111010…
…1111111110010000000
3110122111101111112000012
41323031311333302000
54131423420044130
6140440125444052
712362402502131
oct1731565776200
9418441445005
10132302503040
115112234a804
1221783a10628
13c625c15076
1465911c9c88
15369507b995
hex1ecdd7fc80

132302503040 has 64 divisors (see below), whose sum is σ = 316712496960. Its totient is φ = 52849585152.

The previous prime is 132302503007. The next prime is 132302503061. The reversal of 132302503040 is 40305203231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132302502997 and 132302503015.

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, 336407 + ... + 614633.

It is an arithmetic number, because the mean of its divisors is an integer number (4948632765).

Almost surely, 2132302503040 is an apocalyptic number.

132302503040 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 132302503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158356248480).

132302503040 is an abundant number, since it is smaller than the sum of its proper divisors (184409993920).

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

132302503040 is an equidigital number, since it uses as much as digits as its factorization.

132302503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278989 (or 278977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 132302503040 its reverse (40305203231), we get a palindrome (172607706271).

The spelling of 132302503040 in words is "one hundred thirty-two billion, three hundred two million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 743 1486 2972 3715 5944 7430 11888 14860 23776 29720 47552 59440 95104 118880 237760 278227 475520 556454 1112908 1391135 2225816 2782270 4451632 5564540 8903264 11129080 17806528 22258160 35613056 44516320 89032640 178065280 206722661 413445322 826890644 1033613305 1653781288 2067226610 3307562576 4134453220 6615125152 8268906440 13230250304 16537812880 26460500608 33075625760 66151251520 132302503040