Search a number
-
+
1032413342004 = 22321119137216021
BaseRepresentation
bin11110000011000001010…
…00010110100100110100
310122200211122211210201100
433001200220112210310
5113403340303421004
62110141212530100
7134406110420262
oct17014050264464
93580748753640
101032413342004
11368931464550
12148109180930
137648263b355
1437d7d1c5432
151bcc719e739
hexf060a16934

1032413342004 has 72 divisors (see below), whose sum is σ = 2996797920480. Its totient is φ = 296386603200.

The previous prime is 1032413341997. The next prime is 1032413342029. The reversal of 1032413342004 is 4002433142301.

1032413342004 is a `hidden beast` number, since 1 + 0 + 324 + 1 + 334 + 2 + 0 + 0 + 4 = 666.

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, 68600487 + ... + 68615534.

It is an arithmetic number, because the mean of its divisors is an integer number (41622193340).

Almost surely, 21032413342004 is an apocalyptic number.

It is an amenable number.

1032413342004 is an abundant number, since it is smaller than the sum of its proper divisors (1964384578476).

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

1032413342004 is a wasteful number, since it uses less digits than its factorization.

1032413342004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137216061 (or 137216056 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1032413342004 its reverse (4002433142301), we get a palindrome (5034846484305).

The spelling of 1032413342004 in words is "one trillion, thirty-two billion, four hundred thirteen million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 137216021 274432042 411648063 548864084 823296126 1234944189 1509376231 1646592252 2469888378 2607104399 3018752462 4528128693 4939776756 5214208798 6037504924 7821313197 9056257386 10428417596 13584386079 15642626394 18112514772 23463939591 27168772158 28678148389 31285252788 46927879182 54337544316 57356296778 86034445167 93855758364 114712593556 172068890334 258103335501 344137780668 516206671002 1032413342004