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132040533250440 = 23325601610281629
BaseRepresentation
bin11110000001011100010101…
…000101001001000110001000
3122022111221200210022121022200
4132001130111011021012020
5114301323003003003230
61144454330015120200
736545420335151403
oct3601342505110610
9568457623277280
10132040533250440
1139088091803aa1
121298640b513060
13588a4a44c64c9
142486b1dd88d3a
15103ea25c93160
hex781715149188

132040533250440 has 96 divisors (see below), whose sum is σ = 429845763274200. Its totient is φ = 35152221772800.

The previous prime is 132040533250433. The next prime is 132040533250441. The reversal of 132040533250440 is 44052335040231.

132040533250440 is a `hidden beast` number, since 1 + 3 + 20 + 40 + 53 + 3 + 2 + 504 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115226613421956 + 16813919828484 = 10734366^2 + 4100478^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132040533250395 and 132040533250404.

It is not an unprimeable number, because it can be changed into a prime (132040533250441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304924455 + ... + 305357174.

Almost surely, 2132040533250440 is an apocalyptic number.

132040533250440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132040533250440 is an abundant number, since it is smaller than the sum of its proper divisors (297805230023760).

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

132040533250440 is a wasteful number, since it uses less digits than its factorization.

132040533250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610282247 (or 610282240 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 132040533250440 its reverse (44052335040231), we get a palindrome (176092868290671).

The spelling of 132040533250440 in words is "one hundred thirty-two trillion, forty billion, five hundred thirty-three million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 601 1202 1803 2404 3005 3606 4808 5409 6010 7212 9015 10818 12020 14424 18030 21636 24040 27045 36060 43272 54090 72120 108180 216360 610281629 1220563258 1830844887 2441126516 3051408145 3661689774 4882253032 5492534661 6102816290 7323379548 9154224435 10985069322 12205632580 14646759096 18308448870 21970138644 24411265160 27462673305 36616897740 43940277288 54925346610 73233795480 109850693220 219701386440 366779259029 733558518058 1100337777087 1467117036116 1833896295145 2200675554174 2934234072232 3301013331261 3667792590290 4401351108348 5501688885435 6602026662522 7335585180580 8802702216696 11003377770870 13204053325044 14671170361160 16505066656305 22006755541740 26408106650088 33010133312610 44013511083480 66020266625220 132040533250440