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5405240229480 = 233257132329247369
BaseRepresentation
bin100111010101000000101…
…1011000111111001101000
3201010201212111002201212100
41032222001123013321220
51202024412444320410
615255044425013400
71065341614610130
oct116520133077150
921121774081770
105405240229480
1117a4393216923
127336a4024260
133029342625c0
141498878a1ac0
15959091c58c0
hex4ea816c7e68

5405240229480 has 768 divisors, whose sum is σ = 23339062656000. Its totient is φ = 1053241491456.

The previous prime is 5405240229479. The next prime is 5405240229481. The reversal of 5405240229480 is 849220425045.

5405240229480 is a `hidden beast` number, since 5 + 40 + 5 + 240 + 2 + 294 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5405240229479) and next prime (5405240229481).

It is a super-2 number, since 2×54052402294802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5405240229481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21727236 + ... + 21974604.

It is an arithmetic number, because the mean of its divisors is an integer number (30389404500).

Almost surely, 25405240229480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405240229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669531328000).

5405240229480 is an abundant number, since it is smaller than the sum of its proper divisors (17933822426520).

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

5405240229480 is a wasteful number, since it uses less digits than its factorization.

5405240229480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247458 (or 247451 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5405240229480 in words is "five trillion, four hundred five billion, two hundred forty million, two hundred twenty-nine thousand, four hundred eighty".