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1344377190429 = 327137703213097
BaseRepresentation
bin10011100100000011000…
…111111111100000011101
311202112001221212022011200
4103210003013333200131
5134011241030043204
62505333124510113
7166061630400330
oct23440307774035
94675057768150
101344377190429
11479168970189
1219867124b339
1399a0ac847c0
14490d5214617
1524e84d3c539
hex139031ff81d

1344377190429 has 48 divisors (see below), whose sum is σ = 2390325380352. Its totient is φ = 709026649344.

The previous prime is 1344377190421. The next prime is 1344377190449. The reversal of 1344377190429 is 9240917734431.

1344377190429 is a `hidden beast` number, since 1 + 3 + 44 + 377 + 190 + 42 + 9 = 666.

It is not a de Polignac number, because 1344377190429 - 23 = 1344377190421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344377190421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6202209 + ... + 6415305.

It is an arithmetic number, because the mean of its divisors is an integer number (49798445424).

Almost surely, 21344377190429 is an apocalyptic number.

It is an amenable number.

1344377190429 is a deficient number, since it is larger than the sum of its proper divisors (1045948189923).

1344377190429 is a wasteful number, since it uses less digits than its factorization.

1344377190429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220826 (or 220823 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 1344 and 377190429, that added together give a palindrome (377191773).

The spelling of 1344377190429 in words is "one trillion, three hundred forty-four billion, three hundred seventy-seven million, one hundred ninety thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 7703 23109 53921 69327 100139 161763 213097 300417 485289 639291 700973 901251 1491679 1917873 2102919 2770261 4475037 6308757 8310783 13425111 19391827 24932349 58175481 174526443 1641486191 4924458573 11490403337 14773375719 21339320483 34471210011 64017961449 103413630033 149375243381 192053884347 448125730143 1344377190429