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132142504445540 = 22599716214088221
BaseRepresentation
bin11110000010111011010011…
…000010011000011001100100
3122022212200220100010000220022
4132002323103002120121210
5114310010322114224130
61145013232315454312
736555660306051401
oct3602732302303144
9568780810100808
10132142504445540
11391173598a2156
12129a2129457398
135896ca5506284
14248ba34b272a8
1510424e30a07e5
hex782ed3098664

132142504445540 has 48 divisors (see below), whose sum is σ = 277949023456944. Its totient is φ = 52771397875200.

The previous prime is 132142504445533. The next prime is 132142504445579. The reversal of 132142504445540 is 45544405241231.

It can be written as a sum of positive squares in 8 ways, for example, as 37393812042304 + 94748692403236 = 6115048^2 + 9733894^2 .

It is a super-2 number, since 2×1321425044455402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132142504445491 and 132142504445500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30278630 + ... + 34366850.

It is an arithmetic number, because the mean of its divisors is an integer number (5790604655353).

Almost surely, 2132142504445540 is an apocalyptic number.

132142504445540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132142504445540 is an abundant number, since it is smaller than the sum of its proper divisors (145806519011404).

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

132142504445540 is a wasteful number, since it uses less digits than its factorization.

132142504445540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090848 (or 4090846 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 44.

Adding to 132142504445540 its reverse (45544405241231), we get a palindrome (177686909686771).

The spelling of 132142504445540 in words is "one hundred thirty-two trillion, one hundred forty-two billion, five hundred four million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 997 1621 1994 3242 3988 4985 6484 8105 9970 16210 19940 32420 1616137 3232274 4088221 6464548 8080685 8176442 16161370 16352884 20441105 32322740 40882210 81764420 4075956337 6627006241 8151912674 13254012482 16303825348 20379781685 26508024964 33135031205 40759563370 66270062410 81519126740 132540124820 6607125222277 13214250444554 26428500889108 33035626111385 66071252222770 132142504445540