Search a number
-
+
241062696000000 = 29335673137139
BaseRepresentation
bin110110110011111011001000…
…010111010001101000000000
31011121112100221202120021212000
4312303323020113101220000
5223044032400134000000
62212410401305104000
7101530130221341360
oct6663731027215000
91147470852507760
10241062696000000
116a8a012a445046
1223053695188000
13a468164c95214
1443756d50aa9a0
151cd08d97ba000
hexdb3ec85d1a00

241062696000000 has 4480 divisors, whose sum is σ = 1088458067558400. Its totient is φ = 51508224000000.

The previous prime is 241062695999981. The next prime is 241062696000059. The reversal of 241062696000000 is 696260142.

241062696000000 is a `hidden beast` number, since 2 + 41 + 0 + 6 + 2 + 6 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×2410626960000002 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1734263999931 + ... + 1734264000069.

It is an arithmetic number, because the mean of its divisors is an integer number (242959390080).

Almost surely, 2241062696000000 is an apocalyptic number.

241062696000000 is a gapful number since it is divisible by the number (20) 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 241062696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544229033779200).

241062696000000 is an abundant number, since it is smaller than the sum of its proper divisors (847395371558400).

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

241062696000000 is an frugal number, since it uses more digits than its factorization.

241062696000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 241062696000000 in words is "two hundred forty-one trillion, sixty-two billion, six hundred ninety-six million", and thus it is an aban number.