Search a number
-
+
230242242242032 = 24731371438870127
BaseRepresentation
bin110100010110011101110011…
…000011111010010111110000
31010012012221110201211201212121
4310112131303003322113300
5220134242103003221112
62133403454220404024
766332311254054436
oct6426356303722760
91105187421751777
10230242242242032
11673a9206385229
12219a65a50a6614
139b6199a4a1387
1440bdad9374d56
151b941e0a87407
hexd167730fa5f0

230242242242032 has 40 divisors (see below), whose sum is σ = 455505994161216. Its totient is φ = 112715330190336.

The previous prime is 230242242242027. The next prime is 230242242242059.

230242242242032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2302422422420322 (a number of 30 digits) contains 22 as substring.

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, 719275048 + ... + 719595079.

Almost surely, 2230242242242032 is an apocalyptic number.

It is an amenable number.

230242242242032 is a deficient number, since it is larger than the sum of its proper divisors (225263751919184).

230242242242032 is a wasteful number, since it uses less digits than its factorization.

230242242242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438870345 (or 1438870339 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

The spelling of 230242242242032 in words is "two hundred thirty trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 73 137 146 274 292 548 584 1096 1168 2192 10001 20002 40004 80008 160016 1438870127 2877740254 5755480508 11510961016 23021922032 105037519271 197125207399 210075038542 394250414798 420150077084 788500829596 840300154168 1577001659192 1680600308336 3154003318384 14390140140127 28780280280254 57560560560508 115121121121016 230242242242032