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214014423040 = 2125112671289
BaseRepresentation
bin1100011101010001000…
…0001111000000000000
3202110102000220010202121
43013110100033000000
512001300143014130
6242152235454024
721314322403135
oct3072420170000
9673360803677
10214014423040
1182843620700
1235588bb7314
131724890aba2
14a50347058c
1558789a5d7a
hex31d440f000

214014423040 has 312 divisors, whose sum is σ = 573374586960. Its totient is φ = 76602408960.

The previous prime is 214014423031. The next prime is 214014423127. The reversal of 214014423040 is 40324410412.

It is a junction number, because it is equal to n+sod(n) for n = 214014422996 and 214014423014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166030716 + ... + 166032004.

Almost surely, 2214014423040 is an apocalyptic number.

214014423040 is a gapful number since it is divisible by the number (20) 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 214014423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286687293480).

214014423040 is an abundant number, since it is smaller than the sum of its proper divisors (359360163920).

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

214014423040 is a wasteful number, since it uses less digits than its factorization.

214014423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 214014423040 its reverse (40324410412), we get a palindrome (254338833452).

The spelling of 214014423040 in words is "two hundred fourteen billion, fourteen million, four hundred twenty-three thousand, forty".