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1430426344446 = 233112823266003
BaseRepresentation
bin10100110100001100000…
…011011101101111111110
312001202011212112020111000
4110310030003131233332
5141414003121010241
63013043452511130
7205226204212431
oct24641403355776
95052155466430
101430426344446
11501705420200
121b1286a7b4a6
13a4b72405698
144d339515818
152731e402eb6
hex14d0c0ddbfe

1430426344446 has 96 divisors (see below), whose sum is σ = 3498229244160. Its totient is φ = 432934215120.

The previous prime is 1430426344367. The next prime is 1430426344447. The reversal of 1430426344446 is 6444436240341.

1430426344446 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 4 + 2 + 634 + 4 + 4 + 4 + 6 = 666.

It is a super-4 number, since 4×14304263444464 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430426344447) 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 47 ways as a sum of consecutive naturals, for example, 5244481 + ... + 5510483.

It is an arithmetic number, because the mean of its divisors is an integer number (36439887960).

Almost surely, 21430426344446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430426344446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749114622080).

1430426344446 is an abundant number, since it is smaller than the sum of its proper divisors (2067802899714).

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

1430426344446 is a wasteful number, since it uses less digits than its factorization.

1430426344446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266859 (or 266842 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 1430426344446 in words is "one trillion, four hundred thirty billion, four hundred twenty-six million, three hundred forty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 823 1089 1646 2178 2469 3267 4938 6534 7407 9053 14814 18106 22221 27159 44442 54318 81477 99583 162954 199166 244431 266003 298749 488862 532006 597498 798009 896247 1596018 1792494 2394027 2688741 2926033 4788054 5377482 5852066 7182081 8778099 14364162 17556198 26334297 32186363 52668594 64372726 79002891 96559089 158005782 193118178 218920469 289677267 437840938 579354534 656761407 869031801 1313522814 1738063602 1970284221 2408125159 3940568442 4816250318 5910852663 7224375477 11821705326 14448750954 21673126431 26489376749 43346252862 52978753498 65019379293 79468130247 130038758586 158936260494 238404390741 476808781482 715213172223 1430426344446