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134010101141431 = 359977113820319
BaseRepresentation
bin11110011110000110101000…
…011110011000111110110111
3122120111020111100210010210021
4132132012220132120332313
5120031110141343011211
61153003220210310011
740140624143044534
oct3636065036307667
9576436440703707
10134010101141431
1139777401504969
121304407b888307
1359a1137cc1288
1425141a2c6bd8b
151075d9c23e771
hex79e1a8798fb7

134010101141431 has 8 divisors (see below), whose sum is σ = 134384798822400. Its totient is φ = 133635411297240.

The previous prime is 134010101141429. The next prime is 134010101141447. The reversal of 134010101141431 is 134141101010431.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 134010101141431 - 21 = 134010101141429 is a prime.

It is a super-3 number, since 3×1340101011414313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134010101141396 and 134010101141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134010101181431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33168090 + ... + 36988408.

It is an arithmetic number, because the mean of its divisors is an integer number (16798099852800).

Almost surely, 2134010101141431 is an apocalyptic number.

134010101141431 is a deficient number, since it is larger than the sum of its proper divisors (374697680969).

134010101141431 is an equidigital number, since it uses as much as digits as its factorization.

134010101141431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918389.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 134010101141431 its reverse (134141101010431), we get a palindrome (268151202151862).

The spelling of 134010101141431 in words is "one hundred thirty-four trillion, ten billion, one hundred one million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 359 97711 3820319 35078249 1371494521 373287189809 134010101141431