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1242030024016 = 241721923614657
BaseRepresentation
bin10010000100101110110…
…000100010010101010000
311101201220012121112220121
4102010232300202111100
5130322134141232031
62350325233520024
7155506443004135
oct22045660422520
94351805545817
101242030024016
11439818629231
12180869413014
139017a0c74c2
144418656858c
1522494a16011
hex1212ec22550

1242030024016 has 120 divisors (see below), whose sum is σ = 2807856089280. Its totient is φ = 529646616576.

The previous prime is 1242030023987. The next prime is 1242030024023. The reversal of 1242030024016 is 6104200302421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713360 + ... + 2328016.

It is an arithmetic number, because the mean of its divisors is an integer number (23398800744).

Almost surely, 21242030024016 is an apocalyptic number.

1242030024016 is a gapful number since it is divisible by the number (16) 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 1242030024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403928044640).

1242030024016 is an abundant number, since it is smaller than the sum of its proper divisors (1565826065264).

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

1242030024016 is a wasteful number, since it uses less digits than its factorization.

1242030024016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614741 (or 614718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1242030024016 its reverse (6104200302421), we get a palindrome (7346230326437).

The spelling of 1242030024016 in words is "one trillion, two hundred forty-two billion, thirty million, twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 289 304 323 368 391 437 578 646 782 874 1156 1292 1564 1748 2312 2584 3128 3496 4624 5168 5491 6256 6647 6992 7429 10982 13294 14858 21964 26588 29716 43928 53176 59432 87856 106352 118864 126293 252586 505172 614657 1010344 1229314 2020688 2458628 4917256 9834512 10449169 11678483 14137111 20898338 23356966 28274222 41796676 46713932 56548444 83593352 93427864 113096888 167186704 177635873 186855728 198534211 226193776 240330887 268605109 355271746 397068422 480661774 537210218 710543492 794136844 961323548 1074420436 1421086984 1588273688 1922647096 2148840872 2842173968 3176547376 3375081587 3845294192 4085625079 4297681744 4566286853 6750163174 8171250158 9132573706 13500326348 16342500316 18265147412 27000652696 32685000632 36530294824 54001305392 65370001264 73060589648 77626876501 155253753002 310507506004 621015012008 1242030024016