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1434302411024 = 24726746435881
BaseRepresentation
bin10100110111110011000…
…101011111000100010000
312002010012000000211020102
4110313303011133010100
5141444422404123044
63014524234231532
7205424231223200
oct24676305370420
95063160024212
101434302411024
1150331435640a
121b1b88b855a8
13a533c4539c2
144d5c6208400
152749984724e
hex14df315f110

1434302411024 has 120 divisors (see below), whose sum is σ = 3282182257248. Its totient is φ = 605293032960.

The previous prime is 1434302411023. The next prime is 1434302411027. The reversal of 1434302411024 is 4201142034341.

It is not an unprimeable number, because it can be changed into a prime (1434302411023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243884564 + ... + 243890444.

Almost surely, 21434302411024 is an apocalyptic number.

1434302411024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434302411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641091128624).

1434302411024 is an abundant number, since it is smaller than the sum of its proper divisors (1847879846224).

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

1434302411024 is a wasteful number, since it uses less digits than its factorization.

1434302411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1434302411024 its reverse (4201142034341), we get a palindrome (5635444445365).

The spelling of 1434302411024 in words is "one trillion, four hundred thirty-four billion, three hundred two million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1876 3283 3752 4643 5881 6566 7504 9286 11762 13132 18572 23524 26264 32501 37144 41167 47048 52528 65002 74288 82334 94096 130004 164668 227507 260008 288169 311081 329336 394027 455014 520016 576338 622162 658672 788054 910028 1152676 1244324 1576108 1820056 2177567 2305352 2488648 2758189 3152216 3640112 4355134 4610704 4977296 5516378 6304432 8710268 11032756 15242969 17420536 19307323 22065512 27305483 30485938 34841072 38614646 44131024 54610966 60971876 77229292 109221932 121943752 154458584 191138381 218443864 243887504 308917168 382276762 436887728 764553524 1337968667 1529107048 1829467361 2675937334 3058214096 3658934722 5351874668 7317869444 10703749336 12806271527 14635738888 21407498672 25612543054 29271477776 51225086108 89643900689 102450172216 179287801378 204900344432 358575602756 717151205512 1434302411024