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1350407423727 = 3219233114872267
BaseRepresentation
bin10011101001101010100…
…011100000011011101111
311210002122012210220010200
4103221222203200123233
5134111113300024402
62512211341404543
7166364232465405
oct23515243403357
94702565726120
101350407423727
1148078287076a
12199874869753
139a45c3a779b
1449508053475
15251d944821c
hex13a6a8e06ef

1350407423727 has 96 divisors (see below), whose sum is σ = 2154775633920. Its totient is φ = 811155850560.

The previous prime is 1350407423683. The next prime is 1350407423731. The reversal of 1350407423727 is 7273247040531.

1350407423727 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 407 + 4 + 237 + 2 + 7 = 666.

It is not a de Polignac number, because 1350407423727 - 210 = 1350407422703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350407423737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595679248 + ... + 595681514.

It is an arithmetic number, because the mean of its divisors is an integer number (22445579520).

Almost surely, 21350407423727 is an apocalyptic number.

1350407423727 is a deficient number, since it is larger than the sum of its proper divisors (804368210193).

1350407423727 is a wasteful number, since it uses less digits than its factorization.

1350407423727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

It can be divided in two parts, 13504074 and 23727, that added together give a triangular number (13527801 = T5201).

The spelling of 1350407423727 in words is "one trillion, three hundred fifty billion, four hundred seven million, four hundred twenty-three thousand, seven hundred twenty-seven".

Divisors: 1 3 9 19 23 57 69 171 207 311 437 487 933 1311 1461 2267 2799 3933 4383 5909 6801 7153 9253 11201 17727 20403 21459 27759 33603 43073 52141 53181 64377 83277 100809 129219 135907 151457 156423 212819 387657 407721 454371 469269 638457 705037 990679 1104029 1223163 1363113 1915371 2115111 2877683 2972037 3312087 3483511 6345333 8633049 8916111 9936261 10450533 13395703 16215851 20976551 25392667 25899147 31351599 40187109 48647553 62929653 66186709 76178001 120561327 145942659 188788959 198560127 228534003 308101169 343353019 482460673 595680381 924303507 1030059057 1447382019 2772910521 3090177171 4342146057 6523707361 7897119437 19571122083 23691358311 58713366249 71074074933 150045269303 450135807909 1350407423727