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11407241461 = 711314919733
BaseRepresentation
bin10101001111110110…
…01011000011110101
31002102222201220111111
422213323023003311
5141330223211321
65123532435021
7552452644510
oct124773130365
932388656444
1011407241461
1149240aa390
122264318a71
1310ca403025
147a2ddbd77
1546b6d35e1
hex2a7ecb0f5

11407241461 has 32 divisors (see below), whose sum is σ = 14712201216. Its totient is φ = 8583624000.

The previous prime is 11407241459. The next prime is 11407241471. The reversal of 11407241461 is 16414270411.

It is not a de Polignac number, because 11407241461 - 21 = 11407241459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11407241401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167151 + ... + 1176883.

It is an arithmetic number, because the mean of its divisors is an integer number (459756288).

Almost surely, 211407241461 is an apocalyptic number.

11407241461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11407241461 is a deficient number, since it is larger than the sum of its proper divisors (3304959755).

11407241461 is a wasteful number, since it uses less digits than its factorization.

11407241461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273.

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 11407241461 in words is "eleven billion, four hundred seven million, two hundred forty-one thousand, four hundred sixty-one".

Divisors: 1 7 11 31 77 217 341 491 2387 3437 5401 9733 15221 37807 68131 106547 107063 167431 301723 749441 1172017 2112061 3318953 4778903 23232671 33452321 52567933 148145993 367975531 1037021951 1629605923 11407241461