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4122505234440 = 2332511451403429
BaseRepresentation
bin111011111111011000011…
…101011100100000001000
3112121002220110220102000100
4323333120131130200020
51020020342320000230
612433504110205400
7603561344215035
oct73773035344010
915532813812010
104122505234440
11134a38780547a
12566b767b3860
1323b99b025938
1410375d29a38c
1572380d72660
hex3bfd875c808

4122505234440 has 48 divisors (see below), whose sum is σ = 13398142013100. Its totient is φ = 1099334729088.

The previous prime is 4122505234439. The next prime is 4122505234447. The reversal of 4122505234440 is 444325052214.

4122505234440 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 50 + 523 + 44 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3321046995876 + 801458238564 = 1822374^2 + 895242^2 .

It is a super-2 number, since 2×41225052344402 (a number of 26 digits) contains 22 as substring.

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 = 4122505234395 and 4122505234404.

It is not an unprimeable number, because it can be changed into a prime (4122505234447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5725701355 + ... + 5725702074.

Almost surely, 24122505234440 is an apocalyptic number.

4122505234440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122505234440 is an abundant number, since it is smaller than the sum of its proper divisors (9275636778660).

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

4122505234440 is a wasteful number, since it uses less digits than its factorization.

4122505234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451403446 (or 11451403439 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4122505234440 in words is "four trillion, one hundred twenty-two billion, five hundred five million, two hundred thirty-four 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 11451403429 22902806858 34354210287 45805613716 57257017145 68708420574 91611227432 103062630861 114514034290 137416841148 171771051435 206125261722 229028068580 274833682296 343542102870 412250523444 458056137160 515313154305 687084205740 824501046888 1030626308610 1374168411480 2061252617220 4122505234440