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4138625040 = 2435111567661
BaseRepresentation
bin1111011010101110…
…0110100000010000
3101200102112221020220
43312223212200100
531433442000130
61522401033040
7204362506134
oct36653464020
911612487226
104138625040
111834167280
12976025780
1350c569c74
142b391b3c4
15193509410
hexf6ae6810

4138625040 has 80 divisors (see below), whose sum is σ = 13996086336. Its totient is φ = 1003302400.

The previous prime is 4138625039. The next prime is 4138625077. The reversal of 4138625040 is 405268314.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4138624992 and 4138625010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781191 + ... + 786470.

Almost surely, 24138625040 is an apocalyptic number.

4138625040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138625040 is an abundant number, since it is smaller than the sum of its proper divisors (9857461296).

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

4138625040 is a wasteful number, since it uses less digits than its factorization.

4138625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567688 (or 1567682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4138625040 is about 64332.1462412067. The cubic root of 4138625040 is about 1605.5309934546.

The spelling of 4138625040 in words is "four billion, one hundred thirty-eight million, six hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1567661 3135322 4702983 6270644 7838305 9405966 12541288 15676610 17244271 18811932 23514915 25082576 31353220 34488542 37623864 47029830 51732813 62706440 68977084 75247728 86221355 94059660 103465626 125412880 137954168 172442710 188119320 206931252 258664065 275908336 344885420 376238640 413862504 517328130 689770840 827725008 1034656260 1379541680 2069312520 4138625040