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55042154112000 = 2103531179281587
BaseRepresentation
bin11001000001111100000000…
…00010110010010000000000
321012212222102100200011012110
430200332000002302100000
524203302312423041000
6313022003322455320
714410443614263056
oct1440760002622000
9235788370604173
1055042154112000
11165a1279060940
12620b656064540
1324935b6c22583
14d840a96921d6
15656b8d01d850
hex320f800b2400

55042154112000 has 1408 divisors, whose sum is σ = 203329362862080. Its totient is φ = 13105397760000.

The previous prime is 55042154111993. The next prime is 55042154112059. The reversal of 55042154112000 is 21145124055.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93768575707 + ... + 93768576293.

Almost surely, 255042154112000 is an apocalyptic number.

55042154112000 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 55042154112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101664681431040).

55042154112000 is an abundant number, since it is smaller than the sum of its proper divisors (148287208750080).

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

55042154112000 is a wasteful number, since it uses less digits than its factorization.

55042154112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 968 counting only the distinct ones).

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

Adding to 55042154112000 its reverse (21145124055), we get a palindrome (55063299236055).

The spelling of 55042154112000 in words is "fifty-five trillion, forty-two billion, one hundred fifty-four million, one hundred twelve thousand".