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1430430131412 = 223435312506821
BaseRepresentation
bin10100110100001100010…
…001111010010011010100
312001202012010122122020000
4110310030101322103110
5141414010103201122
63013044110011300
7205226251334232
oct24641421722324
95052163578200
101430430131412
11501707577427
121b12881a6b30
13a4b731302a9
144d339c1d952
152731e9000ac
hex14d0c47a4d4

1430430131412 has 60 divisors (see below), whose sum is σ = 3750020494836. Its totient is φ = 475459269120.

The previous prime is 1430430131401. The next prime is 1430430131413. The reversal of 1430430131412 is 2141310340341.

1430430131412 is a `hidden beast` number, since 1 + 4 + 30 + 4 + 301 + 314 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 568329023376 + 862101108036 = 753876^2 + 928494^2 .

It is a super-2 number, since 2×14304301314122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430430131413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6139039 + ... + 6367782.

Almost surely, 21430430131412 is an apocalyptic number.

1430430131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1430430131412 is an abundant number, since it is smaller than the sum of its proper divisors (2319590363424).

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

1430430131412 is a wasteful number, since it uses less digits than its factorization.

1430430131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507190 (or 12507179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1430430131412 its reverse (2141310340341), we get a palindrome (3571740471753).

The spelling of 1430430131412 in words is "one trillion, four hundred thirty billion, four hundred thirty million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 28593 38124 57186 114372 12506821 25013642 37520463 50027284 75040926 112561389 150081852 225122778 337684167 450245556 675368334 1013052501 1350736668 2026105002 4052210004 4414907813 8829815626 13244723439 17659631252 26489446878 39734170317 52978893756 79468340634 119202510951 158936681268 238405021902 357607532853 476810043804 715215065706 1430430131412