Search a number
-
+
361574214540 = 2235711316141387
BaseRepresentation
bin1010100001011111000…
…00001010101110001100
31021120021201200012212120
411100233200022232030
521411000444331130
6434034354132540
735060101053660
oct5205740125614
91246251605776
10361574214540
1112a385244010
125a0aa581150
1328133763c96
1413700ad68a0
15961321a910
hex542f80ab8c

361574214540 has 384 divisors, whose sum is σ = 1324331237376. Its totient is φ = 71515008000.

The previous prime is 361574214481. The next prime is 361574214557. The reversal of 361574214540 is 45412475163.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 361574214492 and 361574214501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8715727 + ... + 8757113.

It is an arithmetic number, because the mean of its divisors is an integer number (3448779264).

Almost surely, 2361574214540 is an apocalyptic number.

361574214540 is a gapful number since it is divisible by the number (30) 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 361574214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662165618688).

361574214540 is an abundant number, since it is smaller than the sum of its proper divisors (962757022836).

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

361574214540 is a wasteful number, since it uses less digits than its factorization.

361574214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41509 (or 41507 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 361574214540 in words is "three hundred sixty-one billion, five hundred seventy-four million, two hundred fourteen thousand, five hundred forty".