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545414121120 = 2535112232811453
BaseRepresentation
bin1111110111111010011…
…01110000011010100000
31221010210211220002200110
413323331031300122200
532414002003333440
61054320525251320
754255604352001
oct7737515603240
91833724802613
10545414121120
111a0344063900
1289856103b40
133c580aa5aab
141c5808911a8
15e2c2ac4080
hex7efd3706a0

545414121120 has 576 divisors, whose sum is σ = 1978919776512. Its totient is φ = 125936025600.

The previous prime is 545414121101. The next prime is 545414121121. The reversal of 545414121120 is 21121414545.

It is a super-3 number, since 3×5454141211203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (545414121121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375370314 + ... + 375371766.

It is an arithmetic number, because the mean of its divisors is an integer number (3435624612).

Almost surely, 2545414121120 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 545414121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989459888256).

545414121120 is an abundant number, since it is smaller than the sum of its proper divisors (1433505655392).

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

545414121120 is a wasteful number, since it uses less digits than its factorization.

545414121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 545414121120 its reverse (21121414545), we get a palindrome (566535535665).

The spelling of 545414121120 in words is "five hundred forty-five billion, four hundred fourteen million, one hundred twenty-one thousand, one hundred twenty".