Search a number
-
+
3910146048 = 2113997
BaseRepresentation
bin1110100100010000…
…0001100000000000
3101002111122000000000
43221010001200000
531001444133143
61444000000000
7165616456464
oct35104014000
911074560000
103910146048
1117271a2666
12911600000
134a41210b3
142914444a4
1517d426bd3
hexe9101800

3910146048 has 240 divisors, whose sum is σ = 11848276440. Its totient is φ = 1289945088.

The previous prime is 3910146011. The next prime is 3910146101. The reversal of 3910146048 is 8406410193.

3910146048 is a `hidden beast` number, since 39 + 1 + 0 + 14 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40310736 + ... + 40310832.

Almost surely, 23910146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3910146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924138220).

3910146048 is an abundant number, since it is smaller than the sum of its proper divisors (7938130392).

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

3910146048 is an frugal number, since it uses more digits than its factorization.

3910146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3910146048 is about 62531.1606161280. The cubic root of 3910146048 is about 1575.4247344300.

The spelling of 3910146048 in words is "three billion, nine hundred ten million, one hundred forty-six thousand, forty-eight".