Search a number
-
+
214094526352 = 24721931414921
BaseRepresentation
bin1100011101100100000…
…1110011011110010000
3202110121121121210211221
43013121001303132100
512001431144320402
6242204220414424
721316314306400
oct3073101633620
9673547553757
10214094526352
1182884862493
12355ab9a7414
131725c3a62b5
14a50dd62800
155880a2a337
hex31d9073790

214094526352 has 60 divisors (see below), whose sum is σ = 485032431756. Its totient is φ = 91279319040.

The previous prime is 214094526287. The next prime is 214094526367. The reversal of 214094526352 is 253625490412.

It can be written as a sum of positive squares in 2 ways, for example, as 117706631056 + 96387895296 = 343084^2 + 310464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214094526299 and 214094526308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556149 + ... + 858772.

Almost surely, 2214094526352 is an apocalyptic number.

It is an amenable number.

214094526352 is an abundant number, since it is smaller than the sum of its proper divisors (270937905404).

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

214094526352 is a wasteful number, since it uses less digits than its factorization.

214094526352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415136 (or 1415123 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 214094526352 in words is "two hundred fourteen billion, ninety-four million, five hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 193 196 386 392 772 784 1351 1544 2702 3088 5404 9457 10808 18914 21616 37828 75656 151312 1414921 2829842 5659684 9904447 11319368 19808894 22638736 39617788 69331129 79235576 138662258 158471152 273079753 277324516 546159506 554649032 1092319012 1109298064 1911558271 2184638024 3823116542 4369276048 7646233084 13380907897 15292466168 26761815794 30584932336 53523631588 107047263176 214094526352