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13961408301 = 325945835737
BaseRepresentation
bin11010000000010101…
…00010111100101101
31100000222212000201100
431000022202330231
5212043110031201
610225213233313
71002656004201
oct150012427455
940028760640
1013961408301
115a1493a775
122857792839
131416619359
1496630cb01
1556aa5d886
hex3402a2f2d

13961408301 has 24 divisors (see below), whose sum is σ = 20516333760. Its totient is φ = 9146258496.

The previous prime is 13961408291. The next prime is 13961408309. The reversal of 13961408301 is 10380416931.

13961408301 is a `hidden beast` number, since 1 + 3 + 9 + 614 + 0 + 8 + 30 + 1 = 666.

It is not a de Polignac number, because 13961408301 - 222 = 13957213997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961408309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430705 + ... + 2436441.

It is an arithmetic number, because the mean of its divisors is an integer number (854847240).

Almost surely, 213961408301 is an apocalyptic number.

It is an amenable number.

13961408301 is a deficient number, since it is larger than the sum of its proper divisors (6554925459).

13961408301 is a wasteful number, since it uses less digits than its factorization.

13961408301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13961408301 in words is "thirteen billion, nine hundred sixty-one million, four hundred eight thousand, three hundred one".

Divisors: 1 3 9 59 177 531 4583 5737 13749 17211 41247 51633 270397 338483 811191 1015449 2433573 3046347 26292671 78878013 236634039 1551267589 4653802767 13961408301