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1428348830208 = 29317431272113
BaseRepresentation
bin10100110010010000001…
…110011000001000000000
312001112211002022120201020
4110302100032120020000
5141400224300031313
63012101400305440
7205123546506546
oct24622016301000
95045732276636
101428348830208
1150083974aa93
121b09a7172280
13a4900b8b511
144d1bd63dd96
152724bd2d323
hex14c90398200

1428348830208 has 160 divisors (see below), whose sum is σ = 4122748466496. Its totient is φ = 437687943168.

The previous prime is 1428348830203. The next prime is 1428348830239. The reversal of 1428348830208 is 8020388438241.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1428348830203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486760 + ... + 1758872.

Almost surely, 21428348830208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428348830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061374233248).

1428348830208 is an abundant number, since it is smaller than the sum of its proper divisors (2694399636288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1428348830208 is a wasteful number, since it uses less digits than its factorization.

1428348830208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272194 (or 1272178 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 1428348830208 in words is "one trillion, four hundred twenty-eight billion, three hundred forty-eight million, eight hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 512 516 544 688 731 768 816 1032 1088 1376 1462 1536 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8704 8772 11008 11696 13056 16512 17544 22016 23392 26112 33024 35088 46784 66048 70176 93568 140352 187136 280704 374272 561408 1122816 1272113 2544226 3816339 5088452 7632678 10176904 15265356 20353808 21625921 30530712 40707616 43251842 54700859 61061424 64877763 81415232 86503684 109401718 122122848 129755526 162830464 164102577 173007368 218803436 244245696 259511052 325660928 328205154 346014736 437606872 488491392 519022104 651321856 656410308 692029472 875213744 929914603 976982784 1038044208 1312820616 1384058944 1750427488 1859829206 1953965568 2076088416 2625641232 2768117888 2789743809 3500854976 3719658412 4152176832 5251282464 5536235776 5579487618 7001709952 7439316824 8304353664 10502564928 11072471552 11158975236 14003419904 14878633648 16608707328 21005129856 22317950472 28006839808 29757267296 33217414656 42010259712 44635900944 59514534592 84020519424 89271801888 119029069184 178543603776 238058138368 357087207552 476116276736 714174415104 1428348830208