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54253112214000 = 24353717317333577
BaseRepresentation
bin11000101010111110010010…
…11110110100000111110000
321010002112202200010200012110
430111133021132310013300
524102340333211322000
6311215311412325320
714266441460642220
oct1425371136640760
9233075680120173
1054253112214000
1116317685518397
126102749613840
13243707b2c0b2b
14d57c16812080
156413abc91850
hex3157c97b41f0

54253112214000 has 1280 divisors, whose sum is σ = 221485499449344. Its totient is φ = 11139710976000.

The previous prime is 54253112213999. The next prime is 54253112214011. The reversal of 54253112214000 is 41221135245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1615765212 + ... + 1615798788.

Almost surely, 254253112214000 is an apocalyptic number.

54253112214000 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 54253112214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110742749724672).

54253112214000 is an abundant number, since it is smaller than the sum of its proper divisors (167232387235344).

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

54253112214000 is a wasteful number, since it uses less digits than its factorization.

54253112214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33731 (or 33715 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 54253112214000 its reverse (41221135245), we get a palindrome (54294333349245).

The spelling of 54253112214000 in words is "fifty-four trillion, two hundred fifty-three billion, one hundred twelve million, two hundred fourteen thousand".