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1430011130424 = 2333110357732341
BaseRepresentation
bin10100110011110011010…
…011100011001000111000
312001201002221020011220220
4110303303103203020320
5141412130322133144
63012534341220040
7205213003024062
oct24636323431070
95051087204826
101430011130424
11501512003818
121b118ba01620
13a4b07398206
144d2da310732
15272e7c36919
hex14cf34e3238

1430011130424 has 128 divisors (see below), whose sum is σ = 3732753223680. Its totient is φ = 456009523200.

The previous prime is 1430011130423. The next prime is 1430011130453. The reversal of 1430011130424 is 4240311100341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1430011130394 and 1430011130403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430011130423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44200494 + ... + 44232834.

It is an arithmetic number, because the mean of its divisors is an integer number (29162134560).

Almost surely, 21430011130424 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 1430011130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866376611840).

1430011130424 is an abundant number, since it is smaller than the sum of its proper divisors (2302742093256).

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

1430011130424 is a wasteful number, since it uses less digits than its factorization.

1430011130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33061 (or 33057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1430011130424 its reverse (4240311100341), we get a palindrome (5670322230765).

The spelling of 1430011130424 in words is "one trillion, four hundred thirty billion, eleven million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 577 618 744 824 1154 1236 1731 2308 2472 3193 3462 4616 6386 6924 9579 12772 13848 17887 19158 25544 32341 35774 38316 53661 59431 64682 71548 76632 97023 107322 118862 129364 143096 178293 194046 214644 237724 258728 356586 388092 429288 475448 713172 776184 1002571 1426344 1842361 2005142 3007713 3331123 3684722 4010284 5527083 6015426 6662246 7369444 8020568 9993369 11054166 12030852 13324492 14738888 18660757 19986738 22108332 24061704 26648984 37321514 39973476 44216664 55982271 74643028 79946952 103264813 111964542 149286056 206529626 223929084 309794439 413059252 447858168 578483467 619588878 826118504 1156966934 1239177756 1735450401 1922057971 2313933868 2478355512 3470900802 3844115942 4627867736 5766173913 6941801604 7688231884 11532347826 13883603208 15376463768 23064695652 46129391304 59583797101 119167594202 178751391303 238335188404 357502782606 476670376808 715005565212 1430011130424