Search a number
-
+
1014965408080 = 24513975928277
BaseRepresentation
bin11101100010100001010…
…01110001000101010000
310121000210200110220222101
432301100221301011100
5113112122121024310
62054134011050144
7133220534423251
oct16612051610520
93530720426871
101014965408080
11361498570548
12144859a40954
13749318c27b0
14371a5c24b28
151b6054e643a
hexec50a71150

1014965408080 has 40 divisors (see below), whose sum is σ = 2541317235912. Its totient is φ = 374756457984.

The previous prime is 1014965408059. The next prime is 1014965408117. The reversal of 1014965408080 is 808045694101.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 1014959532304 = 2424^2 + 1007452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1014965408080.

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, 487963099 + ... + 487965178.

Almost surely, 21014965408080 is an apocalyptic number.

1014965408080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014965408080 is an abundant number, since it is smaller than the sum of its proper divisors (1526351827832).

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

1014965408080 is a wasteful number, since it uses less digits than its factorization.

1014965408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975928303 (or 975928297 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 1014965408080 in words is "one trillion, fourteen billion, nine hundred sixty-five million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 975928277 1951856554 3903713108 4879641385 7807426216 9759282770 12687067601 15614852432 19518565540 25374135202 39037131080 50748270404 63435338005 78074262160 101496540808 126870676010 202993081616 253741352020 507482704040 1014965408080