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132120142330240 = 2751171176291821
BaseRepresentation
bin11110000010100110011110…
…001001101011100110000000
3122022210120011212211212121201
4132002212132021223212000
5114304124022414031430
61144555053330030544
736554236202156101
oct3602463611534600
9568716155755551
10132120142330240
1139108923a86a29
1212999928418454
135894b5064879c
14248a912c443a8
151041b34c938ca
hex78299e26b980

132120142330240 has 64 divisors (see below), whose sum is σ = 316119443537520. Its totient is φ = 52802925926400.

The previous prime is 132120142330223. The next prime is 132120142330289. The reversal of 132120142330240 is 42033241021231.

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 = 132120142330199 and 132120142330208.

It is a congruent number.

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, 87396471 + ... + 88895350.

Almost surely, 2132120142330240 is an apocalyptic number.

132120142330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120142330240 is an abundant number, since it is smaller than the sum of its proper divisors (183999301207280).

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

132120142330240 is a wasteful number, since it uses less digits than its factorization.

132120142330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176293011 (or 176292999 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132120142330240 its reverse (42033241021231), we get a palindrome (174153383351471).

The spelling of 132120142330240 in words is "one hundred thirty-two trillion, one hundred twenty billion, one hundred forty-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1171 2342 4684 5855 9368 11710 18736 23420 37472 46840 74944 93680 149888 187360 374720 749440 176291821 352583642 705167284 881459105 1410334568 1762918210 2820669136 3525836420 5641338272 7051672840 11282676544 14103345680 22565353088 28206691360 56413382720 112826765440 206437722391 412875444782 825750889564 1032188611955 1651501779128 2064377223910 3303003558256 4128754447820 6606007116512 8257508895640 13212014233024 16515017791280 26424028466048 33030035582560 66060071165120 132120142330240