Search a number
-
+
1014041443140 = 22325112239228737
BaseRepresentation
bin11101100000110011001…
…01000111101101000100
310120221102021212122100200
432300121211013231010
5113103224102140030
62053502203210500
7133155615023025
oct16603145075504
93527367778320
101014041443140
11361063a5aa60
12144640516a30
137481535808b
143711922ac4c
151b59e333d60
hexec19947b44

1014041443140 has 144 divisors (see below), whose sum is σ = 3357068682240. Its totient is φ = 245717360640.

The previous prime is 1014041443139. The next prime is 1014041443141. The reversal of 1014041443140 is 413441404101.

1014041443140 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 41 + 443 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1014041443139) and next prime (1014041443141).

It is not an unprimeable number, because it can be changed into a prime (1014041443141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4318852 + ... + 4547588.

It is an arithmetic number, because the mean of its divisors is an integer number (23312976960).

Almost surely, 21014041443140 is an apocalyptic number.

1014041443140 is a gapful number since it is divisible by the number (10) 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 1014041443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678534341120).

1014041443140 is an abundant number, since it is smaller than the sum of its proper divisors (2343027239100).

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

1014041443140 is a wasteful number, since it uses less digits than its factorization.

1014041443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231002 (or 230997 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1014041443140 its reverse (413441404101), we get a palindrome (1427482847241).

The spelling of 1014041443140 in words is "one trillion, fourteen billion, forty-one million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2239 4478 6717 8956 11195 13434 20151 22390 24629 26868 33585 40302 44780 49258 67170 73887 80604 98516 100755 123145 134340 147774 201510 221661 228737 246290 295548 369435 403020 443322 457474 492580 686211 738870 886644 914948 1108305 1143685 1372422 1477740 2058633 2216610 2287370 2516107 2744844 3431055 4117266 4433220 4574740 5032214 6862110 7548321 8234532 10064428 10293165 12580535 13724220 15096642 20586330 22644963 25161070 30193284 37741605 41172660 45289926 50322140 75483210 90579852 113224815 150966420 226449630 452899260 512142143 1024284286 1536426429 2048568572 2560710715 3072852858 4609279287 5121421430 5633563573 6145705716 7682132145 9218558574 10242842860 11267127146 15364264290 16900690719 18437117148 22534254292 23046396435 28167817865 30728528580 33801381438 46092792870 50702072157 56335635730 67602762876 84503453595 92185585740 101404144314 112671271460 169006907190 202808288628 253510360785 338013814380 507020721570 1014041443140