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4114155034512 = 243273391377001
BaseRepresentation
bin111011110111100110101…
…111111101011110010000
3112120022100112112022010100
4323313212233331132100
51014401242142101022
612430003340332400
7603144411535605
oct73674657753620
915508315468110
104114155034512
1113468922966a6
12565426244100
1323ac6a089633
141031aa2b26ac
1572042c4e1ac
hex3bde6bfd790

4114155034512 has 60 divisors (see below), whose sum is σ = 11671644953644. Its totient is φ = 1352598912000.

The previous prime is 4114155034511. The next prime is 4114155034603. The reversal of 4114155034512 is 2154305514114.

4114155034512 is a `hidden beast` number, since 4 + 1 + 141 + 5 + 503 + 4 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1990909712016 + 2123245322496 = 1410996^2 + 1457136^2 .

It is a super-2 number, since 2×41141550345122 (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 not an unprimeable number, because it can be changed into a prime (4114155034511) 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, 195677989 + ... + 195699012.

Almost surely, 24114155034512 is an apocalyptic number.

It is an amenable number.

4114155034512 is an abundant number, since it is smaller than the sum of its proper divisors (7557489919132).

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

4114155034512 is a wasteful number, since it uses less digits than its factorization.

4114155034512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391377088 (or 391377079 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 4114155034512 in words is "four trillion, one hundred fourteen billion, one hundred fifty-five million, thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 391377001 782754002 1174131003 1565508004 2348262006 3131016008 3522393009 4696524012 6262032016 7044786018 9393048024 14089572036 18786096048 28179144072 28570521073 56358288144 57141042146 85711563219 114282084292 171423126438 228564168584 257134689657 342846252876 457128337168 514269379314 685692505752 1028538758628 1371385011504 2057077517256 4114155034512