Search a number
-
+
1045000456140 = 223526964746001
BaseRepresentation
bin11110011010011101110…
…00011000011111001100
310200220022212201110020210
433031032320120133030
5114110130104044030
62120022214242420
7135333041214114
oct17151670303714
93626285643223
101045000456140
11373200572713
1214a640656410
137770a309494
1438814b94044
151c2b2244bb0
hexf34ee187cc

1045000456140 has 48 divisors (see below), whose sum is σ = 2936878650720. Its totient is φ = 277630848000.

The previous prime is 1045000456099. The next prime is 1045000456141. The reversal of 1045000456140 is 416540005401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1045000456098 and 1045000456107.

It is not an unprimeable number, because it can be changed into a prime (1045000456141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32356861 + ... + 32389140.

It is an arithmetic number, because the mean of its divisors is an integer number (61184971890).

Almost surely, 21045000456140 is an apocalyptic number.

1045000456140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045000456140 is an abundant number, since it is smaller than the sum of its proper divisors (1891878194580).

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

1045000456140 is a wasteful number, since it uses less digits than its factorization.

1045000456140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64746282 (or 64746280 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1045000456140 in words is "one trillion, forty-five billion, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2690 3228 4035 5380 8070 16140 64746001 129492002 194238003 258984004 323730005 388476006 647460010 776952012 971190015 1294920020 1942380030 3884760060 17416674269 34833348538 52250022807 69666697076 87083371345 104500045614 174166742690 209000091228 261250114035 348333485380 522500228070 1045000456140