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4114414032 = 243187745667
BaseRepresentation
bin1111010100111100…
…1111100111010000
3101121201222212222220
43311033033213100
531411242222112
61520134101040
7203646641121
oct36517174720
911551885886
104114414032
111821530183
12969aaa780
13507540c21
142b0618048
1519132598c
hexf53cf9d0

4114414032 has 40 divisors (see below), whose sum is σ = 10634798496. Its totient is φ = 1370710656.

The previous prime is 4114413991. The next prime is 4114414037. The reversal of 4114414032 is 2304144114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4114413993 and 4114414011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114414037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67263 + ... + 112929.

Almost surely, 24114414032 is an apocalyptic number.

It is an amenable number.

4114414032 is an abundant number, since it is smaller than the sum of its proper divisors (6520384464).

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

4114414032 is a wasteful number, since it uses less digits than its factorization.

4114414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47555 (or 47549 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4114414032 is about 64143.6983031069. The cubic root of 4114414032 is about 1602.3940763789.

Adding to 4114414032 its reverse (2304144114), we get a palindrome (6418558146).

The spelling of 4114414032 in words is "four billion, one hundred fourteen million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1877 3754 5631 7508 11262 15016 22524 30032 45048 45667 90096 91334 137001 182668 274002 365336 548004 730672 1096008 2192016 85716959 171433918 257150877 342867836 514301754 685735672 1028603508 1371471344 2057207016 4114414032