Search a number
-
+
13770471440 = 2451115648263
BaseRepresentation
bin11001101001100100…
…01011100000010000
31022112200120102120202
430310302023200100
5211200220041230
610154232554332
7665150035025
oct146462134020
938480512522
1013770471440
115927088010
1228038529a8
1313b5bb636b
14948c0954c
15558de4a45
hex334c8b810

13770471440 has 40 divisors (see below), whose sum is σ = 34926925248. Its totient is φ = 5007443840.

The previous prime is 13770471397. The next prime is 13770471469. The reversal of 13770471440 is 4417407731.

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

It is a junction number, because it is equal to n+sod(n) for n = 13770471394 and 13770471403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7823252 + ... + 7825011.

Almost surely, 213770471440 is an apocalyptic number.

13770471440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13770471440 is an abundant number, since it is smaller than the sum of its proper divisors (21156453808).

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

13770471440 is a wasteful number, since it uses less digits than its factorization.

13770471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648287 (or 15648281 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 13770471440 in words is "thirteen billion, seven hundred seventy million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15648263 31296526 62593052 78241315 125186104 156482630 172130893 250372208 312965260 344261786 625930520 688523572 860654465 1251861040 1377047144 1721308930 2754094288 3442617860 6885235720 13770471440