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214042300520 = 23517853369013
BaseRepresentation
bin1100011101010111101…
…0100101000001101000
3202110110222100110110212
43013111322211001220
512001324312104040
6242155113200252
721315111351446
oct3072572450150
9673428313425
10214042300520
1182858331444
1235596400088
131725161ba39
14a507049b96
15587b160d65
hex31d5ea5068

214042300520 has 64 divisors (see below), whose sum is σ = 510523488720. Its totient is φ = 80485945344.

The previous prime is 214042300499. The next prime is 214042300531. The reversal of 214042300520 is 25003240412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71546620324 + 142495680196 = 267482^2 + 377486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395534 + ... + 764546.

Almost surely, 2214042300520 is an apocalyptic number.

214042300520 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 214042300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255261744360).

214042300520 is an abundant number, since it is smaller than the sum of its proper divisors (296481188200).

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

214042300520 is a wasteful number, since it uses less digits than its factorization.

214042300520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369894 (or 369890 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 214042300520 its reverse (25003240412), we get a palindrome (239045540932).

The spelling of 214042300520 in words is "two hundred fourteen billion, forty-two million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 853 1706 3412 4265 6824 8530 14501 17060 29002 34120 58004 72505 116008 145010 290020 369013 580040 738026 1476052 1845065 2952104 3690130 6273221 7380260 12546442 14760520 25092884 31366105 50185768 62732210 125464420 250928840 314768089 629536178 1259072356 1573840445 2518144712 3147680890 5351057513 6295361780 10702115026 12590723560 21404230052 26755287565 42808460104 53510575130 107021150260 214042300520