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155314420800000 = 2935571117191301
BaseRepresentation
bin100011010100000111110100…
…111000010101101000000000
3202100220220200000210111020120
4203110013310320111220000
5130324132413211100000
61310154243201340240
744500045064211660
oct4324076470255000
9670826600714216
10155314420800000
1145540526559550
1215504b85337680
1368881192b2817
142a4d3882381a0
1512e51403646a0
hex8d41f4e15a00

155314420800000 has 3840 divisors, whose sum is σ = 719204807946240. Its totient is φ = 28753920000000.

The previous prime is 155314420799999. The next prime is 155314420800001. The reversal of 155314420800000 is 8024413551.

It is an interprime number because it is at equal distance from previous prime (155314420799999) and next prime (155314420800001).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (155314420800001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 119380799350 + ... + 119380800650.

It is an arithmetic number, because the mean of its divisors is an integer number (187292918736).

Almost surely, 2155314420800000 is an apocalyptic number.

155314420800000 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 155314420800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359602403973120).

155314420800000 is an abundant number, since it is smaller than the sum of its proper divisors (563890387146240).

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

155314420800000 is a wasteful number, since it uses less digits than its factorization.

155314420800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 155314420800000 in words is "one hundred fifty-five trillion, three hundred fourteen billion, four hundred twenty million, eight hundred thousand".