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542212144553200 = 245211618324339331
BaseRepresentation
bin111101101001000111001101…
…0010001001101110011110000
32122002210222022121202102021011
41323102032122101031303300
51032032100433001200300
65201104453121040304
7222131351255463232
oct17322163221156360
92562728277672234
10542212144553200
11147846974182450
125099041a186094
131a3715028b9124
1497c72ca392252
1542a42aed42eba
hex1ed239a44dcf0

542212144553200 has 240 divisors, whose sum is σ = 1461787567857792. Its totient is φ = 191599205760000.

The previous prime is 542212144553071. The next prime is 542212144553269. The reversal of 542212144553200 is 2355441212245.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10107535 + ... + 34446865.

Almost surely, 2542212144553200 is an apocalyptic number.

542212144553200 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 542212144553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730893783928896).

542212144553200 is an abundant number, since it is smaller than the sum of its proper divisors (919575423304592).

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

542212144553200 is a wasteful number, since it uses less digits than its factorization.

542212144553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24339504 (or 24339493 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 542212144553200 its reverse (2355441212245), we get a palindrome (544567585765445).

The spelling of 542212144553200 in words is "five hundred forty-two trillion, two hundred twelve billion, one hundred forty-four million, five hundred fifty-three thousand, two hundred".