Search a number
-
+
1005044429116 = 227133189068099
BaseRepresentation
bin11101010000000010101…
…00001111000100111100
310120002012021101222100001
432220001110033010330
5112431312333212431
62045413330044044
7132416636456320
oct16500124170474
93502167358301
101005044429116
11358267419182
1214294b419624
1373a103b1c40
1436904391980
151b224546e61
hexea0150f13c

1005044429116 has 48 divisors (see below), whose sum is σ = 2234540492800. Its totient is φ = 384774183360.

The previous prime is 1005044429111. The next prime is 1005044429117. The reversal of 1005044429116 is 6119244405001.

It is a super-2 number, since 2×10050444291162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005044429111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44522766 + ... + 44545333.

Almost surely, 21005044429116 is an apocalyptic number.

It is an amenable number.

1005044429116 is an abundant number, since it is smaller than the sum of its proper divisors (1229496063684).

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

1005044429116 is a wasteful number, since it uses less digits than its factorization.

1005044429116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89068154 (or 89068152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1005044429116 in words is "one trillion, five billion, forty-four million, four hundred twenty-nine thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 89068099 178136198 356272396 623476693 1157885287 1246953386 2315770574 2493906772 2761111069 4631541148 5522222138 8105197009 11044444276 16210394018 19327777483 32420788036 35894443897 38655554966 71788887794 77311109932 143577775588 251261107279 502522214558 1005044429116