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406346101427 = 71012396133923
BaseRepresentation
bin1011110100111000001…
…11010111001010110011
31102211211221212201120102
411322130013113022303
523124144100221202
6510401155103015
741233430605310
oct5723407271263
91384757781512
10406346101427
1114736a865322
12669045a1a6b
132c41a326946
141594ad45d07
15a883ae9d02
hex5e9c1d72b3

406346101427 has 32 divisors (see below), whose sum is σ = 471844362240. Its totient is φ = 342757699200.

The previous prime is 406346101409. The next prime is 406346101459. The reversal of 406346101427 is 724101643604.

It is not a de Polignac number, because 406346101427 - 212 = 406346097331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406349101427) 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, 103578488 + ... + 103582410.

It is an arithmetic number, because the mean of its divisors is an integer number (14745136320).

Almost surely, 2406346101427 is an apocalyptic number.

406346101427 is a deficient number, since it is larger than the sum of its proper divisors (65498260813).

406346101427 is a wasteful number, since it uses less digits than its factorization.

406346101427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 406346101427 in words is "four hundred six billion, three hundred forty-six million, one hundred one thousand, four hundred twenty-seven".

Divisors: 1 7 101 239 613 707 1673 3923 4291 24139 27461 61913 146507 168973 396223 433391 937597 1025549 2404799 2773561 6563179 14797207 16833593 94697297 103580449 242884699 574746961 662881079 1700192893 4023228727 58049443061 406346101427