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14042005780 = 225111715972351
BaseRepresentation
bin11010001001111100…
…00000000100010100
31100020121111210200011
431010332000010110
5212224223141110
610241212530004
71004655036235
oct150476000424
940217453604
1014042005780
115a56389860
12287a780904
13142a22867a
14972ccd08c
15572b7e48a
hex344f80114

14042005780 has 96 divisors (see below), whose sum is σ = 34097075712. Its totient is φ = 4800768000.

The previous prime is 14042005777. The next prime is 14042005781. The reversal of 14042005780 is 8750024041.

14042005780 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042005781) 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, 5971605 + ... + 5973955.

It is an arithmetic number, because the mean of its divisors is an integer number (355177872).

Almost surely, 214042005780 is an apocalyptic number.

14042005780 is a gapful number since it is divisible by the number (10) 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 14042005780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048537856).

14042005780 is an abundant number, since it is smaller than the sum of its proper divisors (20055069932).

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

14042005780 is a wasteful number, since it uses less digits than its factorization.

14042005780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 14042005780 in words is "fourteen billion, forty-two million, five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1597 1870 2351 3194 3740 4702 6388 7985 9404 11755 15970 17567 23510 25861 27149 31940 35134 39967 47020 51722 54298 70268 79934 87835 103444 108596 129305 135745 159868 175670 199835 258610 271490 298639 351340 399670 439637 517220 542980 597278 799340 879274 1194556 1493195 1758548 2198185 2986390 3754547 4396370 5972780 7509094 8792740 15018188 18772735 37545470 41300017 63827299 75090940 82600034 127654598 165200068 206500085 255309196 319136495 413000170 638272990 702100289 826000340 1276545980 1404200578 2808401156 3510501445 7021002890 14042005780