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1407447041 = 721113215451
BaseRepresentation
bin101001111100011…
…1111000000000001
310122002100201101012
41103320333000001
510340301301131
6351354250305
746610050100
oct12370770001
93562321335
101407447041
11662515880
12333426995
13195788300
14d4cd0037
158386652b
hex53e3f001

1407447041 has 36 divisors (see below), whose sum is σ = 1934157744. Its totient is φ = 1012284000.

The previous prime is 1407447031. The next prime is 1407447049.

1407447041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1407447041 - 26 = 1407446977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1407446989 and 1407447007.

It is not an unprimeable number, because it can be changed into a prime (1407447049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83366 + ... + 98816.

It is an arithmetic number, because the mean of its divisors is an integer number (53726604).

Almost surely, 21407447041 is an apocalyptic number.

1407447041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1407447041 is a deficient number, since it is larger than the sum of its proper divisors (526710703).

1407447041 is a wasteful number, since it uses less digits than its factorization.

1407447041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15502 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 1407447041 is about 37515.9571515908. The cubic root of 1407447041 is about 1120.6689883472.

The spelling of 1407447041 in words is "one billion, four hundred seven million, four hundred forty-seven thousand, forty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 15451 91091 108157 169961 200863 757099 1189727 1406041 2209493 2611219 8328089 9842287 15466451 18278533 28723409 108265157 127949731 201063863 1407447041