Search a number
-
+
487130941440 = 2113551113372
BaseRepresentation
bin1110001011010110100…
…01000100100000000000
31201120100222210210200000
413011223101010200000
530440121010111230
61011441310400000
750123362453233
oct7055321044000
91646328723600
10487130941440
11178655798310
127a4ab200000
1336c22c34220
141981202141a
15ca10e48b60
hex716b444800

487130941440 has 1728 divisors, whose sum is σ = 2114024028480. Its totient is φ = 106062151680.

The previous prime is 487130941337. The next prime is 487130941463. The reversal of 487130941440 is 44149031784.

487130941440 is a `hidden beast` number, since 487 + 1 + 30 + 94 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13165701102 + ... + 13165701138.

It is an arithmetic number, because the mean of its divisors is an integer number (1223393535).

Almost surely, 2487130941440 is an apocalyptic number.

487130941440 is a gapful number since it is divisible by the number (40) 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 487130941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057012014240).

487130941440 is an abundant number, since it is smaller than the sum of its proper divisors (1626893087040).

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

487130941440 is a wasteful number, since it uses less digits than its factorization.

487130941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 487130941440 in words is "four hundred eighty-seven billion, one hundred thirty million, nine hundred forty-one thousand, four hundred forty".