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1430042855712 = 253711373152809
BaseRepresentation
bin10100110011110101001…
…100100100100100100000
312001201012010220222211120
4110303311030210210200
5141412211432340322
63012541433212240
7205213536466452
oct24636514444440
95051163828746
101430042855712
11501528a02469
121b119a561080
13a4b10b25583
144d30060c2d2
15272ea901a5c
hex14cf5324920

1430042855712 has 96 divisors (see below), whose sum is σ = 3809531295360. Its totient is φ = 469621770240.

The previous prime is 1430042855699. The next prime is 1430042855749. The reversal of 1430042855712 is 2175582400341.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9281964 + ... + 9434772.

It is an arithmetic number, because the mean of its divisors is an integer number (39682617660).

Almost surely, 21430042855712 is an apocalyptic number.

1430042855712 is a gapful number since it is divisible by the number (12) 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 1430042855712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904765647680).

1430042855712 is an abundant number, since it is smaller than the sum of its proper divisors (2379488439648).

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

1430042855712 is a wasteful number, since it uses less digits than its factorization.

1430042855712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154266 (or 154258 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 1430042855712 in words is "one trillion, four hundred thirty billion, forty-two million, eight hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1373 1704 2272 2746 3408 4119 5492 6816 8238 10984 16476 21968 32952 43936 65904 97483 131808 152809 194966 292449 305618 389932 458427 584898 611236 779864 916854 1169796 1222472 1559728 1833708 2339592 2444944 3119456 3667416 4679184 4889888 7334832 9358368 10849439 14669664 21698878 32548317 43397756 65096634 86795512 130193268 173591024 209806757 260386536 347182048 419613514 520773072 629420271 839227028 1041546144 1258840542 1678454056 2517681084 3356908112 5035362168 6713816224 10070724336 14896279747 20141448672 29792559494 44688839241 59585118988 89377678482 119170237976 178755356964 238340475952 357510713928 476680951904 715021427856 1430042855712