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214094139840 = 26325721517107
BaseRepresentation
bin1100011101100100000…
…0010101000111000000
3202110121120220011122200
43013121000111013000
512001431044433330
6242204204233200
721316311106500
oct3073100250700
9673546804580
10214094139840
1182884619059
12355ab83b800
131725c29c3a9
14a50dca1a00
1558809a0a60
hex31d90151c0

214094139840 has 252 divisors, whose sum is σ = 856622895336. Its totient is φ = 48935771136.

The previous prime is 214094139823. The next prime is 214094139871. The reversal of 214094139840 is 48931490412.

214094139840 is a `hidden beast` number, since 2 + 140 + 9 + 413 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 617434 + ... + 899673.

Almost surely, 2214094139840 is an apocalyptic number.

214094139840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214094139840 is an abundant number, since it is smaller than the sum of its proper divisors (642528755496).

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

214094139840 is a wasteful number, since it uses less digits than its factorization.

214094139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517144 (or 1517124 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 214094139840 in words is "two hundred fourteen billion, ninety-four million, one hundred thirty-nine thousand, eight hundred forty".