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242104059540 = 223357831495179
BaseRepresentation
bin1110000101111010000…
…1101100011010010100
3212010220122111112002000
43201132201230122110
512431312114401130
6303115430115300
723330364360120
oct3413641543224
9763818445060
10242104059540
1193748480322
123ab081abb30
1319aa4281285
14ba09cb4580
15646ea26260
hex385e86c694

242104059540 has 384 divisors, whose sum is σ = 877201920000. Its totient is φ = 54293939712.

The previous prime is 242104059521. The next prime is 242104059551. The reversal of 242104059540 is 45950401242.

It is a happy number.

242104059540 is a `hidden beast` number, since 2 + 4 + 2 + 104 + 0 + 5 + 9 + 540 = 666.

242104059540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421040595402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242104059495 and 242104059504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46744671 + ... + 46749849.

It is an arithmetic number, because the mean of its divisors is an integer number (2284380000).

Almost surely, 2242104059540 is an apocalyptic number.

242104059540 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 242104059540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438600960000).

242104059540 is an abundant number, since it is smaller than the sum of its proper divisors (635097860460).

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

242104059540 is a wasteful number, since it uses less digits than its factorization.

242104059540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 242104059540 in words is "two hundred forty-two billion, one hundred four million, fifty-nine thousand, five hundred forty".