Search a number
-
+
402740002080 = 2532513414312203
BaseRepresentation
bin1011101110001010010…
…11001011110100100000
31102111112122100220020100
411313011023023310200
523044302420031310
6505003255542400
741045162351163
oct5670513136440
91374478326210
10402740002080
1114588a260529
126607898aa00
132bc941bc550
14156c8049ada
15a722230ec0
hex5dc52cbd20

402740002080 has 576 divisors, whose sum is σ = 1551555637632. Its totient is φ = 94461050880.

The previous prime is 402740002061. The next prime is 402740002087. The reversal of 402740002080 is 80200047204.

It is not an unprimeable number, because it can be changed into a prime (402740002087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32997259 + ... + 33009461.

It is an arithmetic number, because the mean of its divisors is an integer number (2693672982).

Almost surely, 2402740002080 is an apocalyptic number.

402740002080 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 402740002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775777818816).

402740002080 is an abundant number, since it is smaller than the sum of its proper divisors (1148815635552).

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

402740002080 is a wasteful number, since it uses less digits than its factorization.

402740002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 402740002080 its reverse (80200047204), we get a palindrome (482940049284).

The spelling of 402740002080 in words is "four hundred two billion, seven hundred forty million, two thousand, eighty".