Search a number
-
+
554143020000 = 2535429318473
BaseRepresentation
bin10000001000001010111…
…11110111001111100000
31221222100011212002212120
420010011133313033200
533034341103120000
61102323024024240
755015115644533
oct10040537671740
91858304762776
10554143020000
111a4013319819
128b491462080
134034233600b
141cb6bc96a1a
15e63409e6a0
hex81057f73e0

554143020000 has 240 divisors, whose sum is σ = 1880385146640. Its totient is φ = 142675456000.

The previous prime is 554143019921. The next prime is 554143020031. The reversal of 554143020000 is 20341455.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5541430200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1580764 + ... + 1899236.

It is an arithmetic number, because the mean of its divisors is an integer number (7834938111).

Almost surely, 2554143020000 is an apocalyptic number.

554143020000 is a gapful number since it is divisible by the number (50) 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 554143020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940192573320).

554143020000 is an abundant number, since it is smaller than the sum of its proper divisors (1326242126640).

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

554143020000 is a wasteful number, since it uses less digits than its factorization.

554143020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318535 (or 318512 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 554143020000 its reverse (20341455), we get a palindrome (554163361455).

The spelling of 554143020000 in words is "five hundred fifty-four billion, one hundred forty-three million, twenty thousand".