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4138791540 = 2235135306143
BaseRepresentation
bin1111011010110000…
…1111001001110100
3101200102212101122120
43312230033021310
531434012312130
61522404355540
7204364101432
oct36654171164
911612771576
104138791540
111834270384
129760a5bb0
1350c5c79a0
142b3961d52
1519353d910
hexf6b0f274

4138791540 has 48 divisors (see below), whose sum is σ = 12480050688. Its totient is φ = 1018779264.

The previous prime is 4138791533. The next prime is 4138791541. The reversal of 4138791540 is 451978314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4138791492 and 4138791501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138791541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2652292 + ... + 2653851.

It is an arithmetic number, because the mean of its divisors is an integer number (260001056).

Almost surely, 24138791540 is an apocalyptic number.

It is an amenable number.

4138791540 is an abundant number, since it is smaller than the sum of its proper divisors (8341259148).

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

4138791540 is a wasteful number, since it uses less digits than its factorization.

4138791540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306168 (or 5306166 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4138791540 is about 64333.4402935208. The cubic root of 4138791540 is about 1605.5525237392.

The spelling of 4138791540 in words is "four billion, one hundred thirty-eight million, seven hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 5306143 10612286 15918429 21224572 26530715 31836858 53061430 63673716 68979859 79592145 106122860 137959718 159184290 206939577 275919436 318368580 344899295 413879154 689798590 827758308 1034697885 1379597180 2069395770 4138791540