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1430426344448 = 21017109753859
BaseRepresentation
bin10100110100001100000…
…011011101110000000000
312001202011212112020111002
4110310030003131300000
5141414003121010243
63013043452511132
7205226204212433
oct24641403356000
95052155466432
101430426344448
11501705420202
121b1286a7b4a8
13a4b7240569a
144d33951581a
152731e402eb8
hex14d0c0ddc00

1430426344448 has 88 divisors (see below), whose sum is σ = 3055439811600. Its totient is φ = 666965311488.

The previous prime is 1430426344447. The next prime is 1430426344453. The reversal of 1430426344448 is 8444436240341.

It is a happy number.

It is a super-2 number, since 2×14304263444482 (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520543 + ... + 2274401.

It is an arithmetic number, because the mean of its divisors is an integer number (34720906950).

Almost surely, 21430426344448 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 1430426344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527719905800).

1430426344448 is an abundant number, since it is smaller than the sum of its proper divisors (1625013467152).

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

1430426344448 is a wasteful number, since it uses less digits than its factorization.

1430426344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754005 (or 753987 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 47.

The spelling of 1430426344448 in words is "one trillion, four hundred thirty billion, four hundred twenty-six million, three hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 128 136 218 256 272 436 512 544 872 1024 1088 1744 1853 2176 3488 3706 4352 6976 7412 8704 13952 14824 17408 27904 29648 55808 59296 111616 118592 237184 474368 753859 948736 1507718 1897472 3015436 6030872 12061744 12815603 24123488 25631206 48246976 51262412 82170631 96493952 102524824 164341262 192987904 205049648 328682524 385975808 410099296 657365048 771951616 820198592 1314730096 1396900727 1640397184 2629460192 2793801454 3280794368 5258920384 5587602908 6561588736 10517840768 11175205816 13123177472 21035681536 22350411632 42071363072 44700823264 84142726144 89401646528 178803293056 357606586112 715213172224 1430426344448