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1430015714442 = 232767817120731
BaseRepresentation
bin10100110011110011100…
…101000010010010001010
312001201010020212002000100
4110303303211002102022
5141412133010330232
63012535023350230
7205213060005420
oct24636345022212
95051106762010
101430015714442
11501514654867
121b1191452376
13a4b08311853
144d2dab85110
15272e833ec7c
hex14cf394248a

1430015714442 has 96 divisors (see below), whose sum is σ = 3594455115264. Its totient is φ = 402409101600.

The previous prime is 1430015714389. The next prime is 1430015714459. The reversal of 1430015714442 is 2444175100341.

1430015714442 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 0 + 1 + 571 + 44 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1430015714397 and 1430015714406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68969217 + ... + 68989947.

It is an arithmetic number, because the mean of its divisors is an integer number (37442240784).

Almost surely, 21430015714442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430015714442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797227557632).

1430015714442 is an abundant number, since it is smaller than the sum of its proper divisors (2164439400822).

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

1430015714442 is a wasteful number, since it uses less digits than its factorization.

1430015714442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28984 (or 28981 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1430015714442 in words is "one trillion, four hundred thirty billion, fifteen million, seven hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8171 8442 16342 20731 24513 41462 49026 57197 62193 73539 114394 124386 145117 147078 171591 186579 290234 343182 373158 435351 514773 547457 870702 1029546 1094914 1306053 1388977 1642371 2612106 2777954 3284742 3832199 4166931 4927113 7664398 8333862 9722839 9854226 11496597 12500793 19445678 22993194 25001586 29168517 34489791 58337034 68979582 87505551 169393001 175011102 338786002 508179003 1016358006 1185751007 1524537009 2371502014 3049074018 3557253021 7114506042 10671759063 11349331067 21343518126 22698662134 34047993201 68095986402 79445317469 102143979603 158890634938 204287959206 238335952407 476671904814 715007857221 1430015714442