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1430029424368 = 241741271947161
BaseRepresentation
bin10100110011110100011…
…001010101011011110000
312001201011012122121111101
4110303310121111123300
5141412200013034433
63012540233254144
7205213314356146
oct24636431253360
95051135577441
101430029424368
11501521369286
121b1195b64354
13a4b0b101c2c
144d2dc913596
15272e964c07d
hex14cf46556f0

1430029424368 has 80 divisors (see below), whose sum is σ = 3006385079040. Its totient is φ = 656286105600.

The previous prime is 1430029424353. The next prime is 1430029424413. The reversal of 1430029424368 is 8634249200341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30298708 + ... + 30345868.

It is an arithmetic number, because the mean of its divisors is an integer number (37579813488).

Almost surely, 21430029424368 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 1430029424368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503192539520).

1430029424368 is an abundant number, since it is smaller than the sum of its proper divisors (1576355654672).

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

1430029424368 is a wasteful number, since it uses less digits than its factorization.

1430029424368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49946 (or 49940 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 1430029424368 in words is "one trillion, four hundred thirty billion, twenty-nine million, four hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2719 2788 5438 5576 10876 11152 21752 43504 46223 47161 92446 94322 111479 184892 188644 222958 369784 377288 445916 739568 754576 801737 891832 1603474 1783664 1895143 1933601 3206948 3790286 3867202 6413896 7580572 7734404 12827792 15161144 15468808 30322288 30937616 32871217 65742434 128230759 131484868 256461518 262969736 512923036 525939472 1025846072 2051692144 2179922903 4359845806 5257461119 8719691612 10514922238 17439383224 21029844476 34878766448 42059688952 84119377904 89376839023 178753678046 357507356092 715014712184 1430029424368