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14021165424 = 24372310911663
BaseRepresentation
bin11010000111011101…
…00000000101110000
31100012011022000002010
431003232200011300
5212203404243144
610235150122520
71004312640210
oct150356400560
940164260063
1014021165424
115a45645122
1228737b0440
131425b0c8b6
14970226240
15570e145b9
hex343ba0170

14021165424 has 160 divisors (see below), whose sum is σ = 43261231104. Its totient is φ = 3826056960.

The previous prime is 14021165351. The next prime is 14021165437. The reversal of 14021165424 is 42456112041.

It is a junction number, because it is equal to n+sod(n) for n = 14021165391 and 14021165400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8430417 + ... + 8432079.

Almost surely, 214021165424 is an apocalyptic number.

14021165424 is a gapful number since it is divisible by the number (14) 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 14021165424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630615552).

14021165424 is an abundant number, since it is smaller than the sum of its proper divisors (29240065680).

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

14021165424 is a wasteful number, since it uses less digits than its factorization.

14021165424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14021165424 its reverse (42456112041), we get a palindrome (56477277465).

The spelling of 14021165424 in words is "fourteen billion, twenty-one million, one hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1091 1104 1288 1663 1932 2182 2576 3273 3326 3864 4364 4989 6546 6652 7637 7728 8728 9978 11641 13092 13304 15274 17456 19956 22911 23282 25093 26184 26608 30548 34923 38249 39912 45822 46564 50186 52368 61096 69846 75279 76498 79824 91644 93128 100372 114747 122192 139692 150558 152996 175651 183288 186256 200744 229494 267743 279384 301116 305992 351302 366576 401488 458988 526953 535486 558768 602232 611984 702604 803229 917976 1053906 1070972 1204464 1405208 1606458 1814333 1835952 2107812 2141944 2810416 3212916 3628666 4215624 4283888 5442999 6425832 7257332 8431248 10885998 12700331 12851664 14514664 21771996 25400662 29029328 38100993 41729659 43543992 50801324 76201986 83459318 87087984 101602648 125188977 152403972 166918636 203205296 250377954 292107613 304807944 333837272 500755908 584215226 609615888 667674544 876322839 1001511816 1168430452 1752645678 2003023632 2336860904 3505291356 4673721808 7010582712 14021165424