Search a number
-
+
41481117360 = 2434531375581
BaseRepresentation
bin100110101000011101…
…111001111010110000
310222001220001002120000
4212220131321322300
51134423131223420
631020044150000
72665640452134
oct465035717260
9128056032500
1041481117360
1116657011481
128057b38300
133bb0b92b77
1420171973c4
15112ba51690
hex9a8779eb0

41481117360 has 400 divisors, whose sum is σ = 152764246272. Its totient is φ = 10413619200.

The previous prime is 41481117347. The next prime is 41481117373. The reversal of 41481117360 is 6371118414.

41481117360 is a `hidden beast` number, since 4 + 1 + 481 + 1 + 173 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41481117347) and next prime (41481117373).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7429770 + ... + 7435350.

Almost surely, 241481117360 is an apocalyptic number.

41481117360 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 41481117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76382123136).

41481117360 is an abundant number, since it is smaller than the sum of its proper divisors (111283128912).

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

41481117360 is a wasteful number, since it uses less digits than its factorization.

41481117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 41481117360 in words is "forty-one billion, four hundred eighty-one million, one hundred seventeen thousand, three hundred sixty".