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12035118380440 = 235476401658713
BaseRepresentation
bin1010111100100010010011…
…1101001011010110011000
31120121112202002111200011111
42233020210331023112120
53034140410301133230
641332505042510104
72351336311223221
oct257104475132630
946545662450144
1012035118380440
113920079630911
1214245a0965334
13693ba32c125c
142d8707b02248
1515d0db08692a
hexaf224f4b598

12035118380440 has 32 divisors (see below), whose sum is σ = 27655165644480. Its totient is φ = 4711620812032.

The previous prime is 12035118380419. The next prime is 12035118380449. The reversal of 12035118380440 is 4408381153021.

12035118380440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12035118380393 and 12035118380402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12035118380449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3200827477 + ... + 3200831236.

It is an arithmetic number, because the mean of its divisors is an integer number (864223926390).

Almost surely, 212035118380440 is an apocalyptic number.

12035118380440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12035118380440 is an abundant number, since it is smaller than the sum of its proper divisors (15620047264040).

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

12035118380440 is a wasteful number, since it uses less digits than its factorization.

12035118380440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401658771 (or 6401658767 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 12035118380440 in words is "twelve trillion, thirty-five billion, one hundred eighteen million, three hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 6401658713 12803317426 25606634852 32008293565 51213269704 64016587130 128033174260 256066348520 300877959511 601755919022 1203511838044 1504389797555 2407023676088 3008779595110 6017559190220 12035118380440