Search a number
-
+
424227095712 = 25347173135151
BaseRepresentation
bin1100010110001011110…
…01111100010010100000
31111120000010010100110000
412023011321330102200
523422304114030322
6522515350540000
742435512550060
oct6130571742240
91446003110400
10424227095712
11153a06154a52
126a274967600
13310099baa34
1416765a353a0
15b07d7e73ac
hex62c5e7c4a0

424227095712 has 240 divisors, whose sum is σ = 1434127064832. Its totient is φ = 120506227200.

The previous prime is 424227095687. The next prime is 424227095737. The reversal of 424227095712 is 217590722424.

424227095712 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 70 + 9 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (424227095687) and next prime (424227095737).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3071337 + ... + 3206487.

Almost surely, 2424227095712 is an apocalyptic number.

424227095712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424227095712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717063532416).

424227095712 is an abundant number, since it is smaller than the sum of its proper divisors (1009899969120).

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

424227095712 is a wasteful number, since it uses less digits than its factorization.

424227095712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135353 (or 135336 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 424227095712 in words is "four hundred twenty-four billion, two hundred twenty-seven million, ninety-five thousand, seven hundred twelve".