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155241541200 = 24352437938083
BaseRepresentation
bin1001000010010100011…
…1011110111001010000
3112211201001100101200010
42100211013132321100
510020413313304300
6155152244554520
714134013220324
oct2204507367120
9484631311603
10155241541200
115a923891689
12261060b2a40
131184047b525
147729969984
154088d48a50
hex24251dee50

155241541200 has 240 divisors, whose sum is σ = 515310033920. Its totient is φ = 39922122240.

The previous prime is 155241541163. The next prime is 155241541201. The reversal of 155241541200 is 2145142551.

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

It is a super-2 number, since 2×1552415412002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155241541201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4057359 + ... + 4095441.

Almost surely, 2155241541200 is an apocalyptic number.

155241541200 is a gapful number since it is divisible by the number (10) 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 155241541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257655016960).

155241541200 is an abundant number, since it is smaller than the sum of its proper divisors (360068492720).

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

155241541200 is a wasteful number, since it uses less digits than its factorization.

155241541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38226 (or 38215 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 155241541200 its reverse (2145142551), we get a palindrome (157386683751).

The spelling of 155241541200 in words is "one hundred fifty-five billion, two hundred forty-one million, five hundred forty-one thousand, two hundred".