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233014000214000 = 2453116507000107
BaseRepresentation
bin110100111110110011001100…
…101101011101111111110000
31010120000220212022110122122002
4310332303030231131333300
5221020200133023322000
62143325053125233132
7100036464101100425
oct6476631455357760
91116026768418562
10233014000214000
1168277756505075
12221738112627a8
13a0031838b3405
144177d1b3d7d4c
151be13677338d5
hexd3ecccb5dff0

233014000214000 has 40 divisors (see below), whose sum is σ = 563427852522288. Its totient is φ = 93205600084800.

The previous prime is 233014000213999. The next prime is 233014000214029. The reversal of 233014000214000 is 412000410332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58253498054 + ... + 58253502053.

Almost surely, 2233014000214000 is an apocalyptic number.

233014000214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233014000214000 is an abundant number, since it is smaller than the sum of its proper divisors (330413852308288).

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

233014000214000 is a wasteful number, since it uses less digits than its factorization.

233014000214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116507000130 (or 116507000114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 233014000214000 its reverse (412000410332), we get a palindrome (233426000624332).

The spelling of 233014000214000 in words is "two hundred thirty-three trillion, fourteen billion, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 116507000107 233014000214 466028000428 582535000535 932056000856 1165070001070 1864112001712 2330140002140 2912675002675 4660280004280 5825350005350 9320560008560 11650700010700 14563375013375 23301400021400 29126750026750 46602800042800 58253500053500 116507000107000 233014000214000