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132402023111440 = 2454761577267279
BaseRepresentation
bin11110000110101100111111…
…100011100001101100010000
3122100210111202122021012220001
4132012230333203201230100
5114323233320404031230
61145332352201255344
736613505363240605
oct3606547743415420
9570714678235801
10132402023111440
1139207423372a35
1212a24495794554
1358b55c3634644
14249a4137a46ac
15104913189a0ca
hex786b3f8e1b10

132402023111440 has 80 divisors (see below), whose sum is σ = 319538221102080. Its totient is φ = 50984245992960.

The previous prime is 132402023111417. The next prime is 132402023111443. The reversal of 132402023111440 is 44111320204231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 132402023111399 and 132402023111408.

It is not an unprimeable number, because it can be changed into a prime (132402023111443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288404280 + ... + 288862999.

It is an arithmetic number, because the mean of its divisors is an integer number (3994227763776).

Almost surely, 2132402023111440 is an apocalyptic number.

132402023111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132402023111440 is an abundant number, since it is smaller than the sum of its proper divisors (187136197990640).

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

132402023111440 is a wasteful number, since it uses less digits than its factorization.

132402023111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577267400 (or 577267394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132402023111440 its reverse (44111320204231), we get a palindrome (176513343315671).

The spelling of 132402023111440 in words is "one hundred thirty-two trillion, four hundred two billion, twenty-three million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 61 80 94 122 188 235 244 305 376 470 488 610 752 940 976 1220 1880 2440 2867 3760 4880 5734 11468 14335 22936 28670 45872 57340 114680 229360 577267279 1154534558 2309069116 2886336395 4618138232 5772672790 9236276464 11545345580 23090691160 27131562113 35213304019 46181382320 54263124226 70426608038 108526248452 135657810565 140853216076 176066520095 217052496904 271315621130 281706432152 352133040190 434104993808 542631242260 563412864304 704266080380 1085262484520 1408532160760 1655025288893 2170524969040 2817064321520 3310050577786 6620101155572 8275126444465 13240202311144 16550252888930 26480404622288 33100505777860 66201011555720 132402023111440