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21420130302432 = 2532302324603193
BaseRepresentation
bin1001101111011010000110…
…10000011111100111100000
32210211202002201011121201100
410313231003100133213200
510301421411324134212
6113320134431034400
74340360540306211
oct467550320374740
983752081147640
1021420130302432
116909254152504
12249b44636ba00
13bc4ba9588864
14540a5018b408
152722c03eebdc
hex137b4341f9e0

21420130302432 has 72 divisors (see below), whose sum is σ = 60933648039264. Its totient is φ = 7137681237504.

The previous prime is 21420130302419. The next prime is 21420130302491. The reversal of 21420130302432 is 23420303102412.

21420130302432 is a `hidden beast` number, since 21 + 4 + 201 + 3 + 0 + 3 + 0 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×214201303024322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21420130302396 and 21420130302405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11430973 + ... + 13172220.

It is an arithmetic number, because the mean of its divisors is an integer number (846300667212).

Almost surely, 221420130302432 is an apocalyptic number.

It is an amenable number.

21420130302432 is an abundant number, since it is smaller than the sum of its proper divisors (39513517736832).

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

21420130302432 is a wasteful number, since it uses less digits than its factorization.

21420130302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24606232 (or 24606221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21420130302432 its reverse (23420303102412), we get a palindrome (44840433404844).

The spelling of 21420130302432 in words is "twenty-one trillion, four hundred twenty billion, one hundred thirty million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3023 6046 9069 12092 18138 24184 27207 36276 48368 54414 72552 96736 108828 145104 217656 290208 435312 870624 24603193 49206386 73809579 98412772 147619158 196825544 221428737 295238316 393651088 442857474 590476632 787302176 885714948 1180953264 1771429896 2361906528 3542859792 7085719584 74375452439 148750904878 223126357317 297501809756 446252714634 595003619512 669379071951 892505429268 1190007239024 1338758143902 1785010858536 2380014478048 2677516287804 3570021717072 5355032575608 7140043434144 10710065151216 21420130302432