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1344129104031 = 37521122852491
BaseRepresentation
bin10011100011110100010…
…101100111100010011111
311202111102200001012121120
4103203310111213202133
5134010234022312111
62505252343302023
7166052525605350
oct23436425474237
94674380035546
101344129104031
114790509241aa
1219860214a913
139999b76210c
14490b02b5d27
1524e6d185406
hex138f456789f

1344129104031 has 16 divisors (see below), whose sum is σ = 2052128026368. Its totient is φ = 766599537600.

The previous prime is 1344129104029. The next prime is 1344129104089. The reversal of 1344129104031 is 1304019214431.

It is not a de Polignac number, because 1344129104031 - 21 = 1344129104029 is a prime.

It is a super-2 number, since 2×13441291040312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1344129103983 and 1344129104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344129144031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61415305 + ... + 61437186.

It is an arithmetic number, because the mean of its divisors is an integer number (128258001648).

Almost surely, 21344129104031 is an apocalyptic number.

1344129104031 is a deficient number, since it is larger than the sum of its proper divisors (707998922337).

1344129104031 is a wasteful number, since it uses less digits than its factorization.

1344129104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122853022.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 1344129104031 in words is "one trillion, three hundred forty-four billion, one hundred twenty-nine million, one hundred four thousand, thirty-one".

Divisors: 1 3 7 21 521 1563 3647 10941 122852491 368557473 859967437 2579902311 64006147811 192018443433 448043034677 1344129104031