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14145424015440 = 2435412158766593
BaseRepresentation
bin1100110111010111110011…
…1110010100000001010000
31212002021210220212100220110
43031311330332110001100
53323224312021443230
650030152412241320
72656654536161004
oct315657476240120
955067726770813
1014145424015440
11456404a0a4913
121705589a70240
137b7ba5474123
1436c8dc1b4704
15197e4cdd04b0
hexcdd7cf94050

14145424015440 has 160 divisors (see below), whose sum is σ = 44923101987456. Its totient is φ = 3679884574720.

The previous prime is 14145424015433. The next prime is 14145424015451. The reversal of 14145424015440 is 4451042454141.

14145424015440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 212382784 + ... + 212449376.

Almost surely, 214145424015440 is an apocalyptic number.

14145424015440 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 14145424015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461550993728).

14145424015440 is an abundant number, since it is smaller than the sum of its proper divisors (30777677972016).

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

14145424015440 is a wasteful number, since it uses less digits than its factorization.

14145424015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88237 (or 88231 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

Adding to 14145424015440 its reverse (4451042454141), we get a palindrome (18596466469581).

The spelling of 14145424015440 in words is "fourteen trillion, one hundred forty-five billion, four hundred twenty-four million, fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 21587 43174 64761 66593 86348 107935 129522 133186 172696 199779 215870 259044 266372 323805 332965 345392 399558 431740 518088 532744 647610 665930 799116 863480 885067 998895 1036176 1065488 1295220 1331860 1598232 1726960 1770134 1997790 2590440 2655201 2663720 2730313 3196464 3540268 3995580 4425335 5180880 5310402 5327440 5460626 7080536 7991160 8190939 8850670 10620804 10921252 13276005 13651565 14161072 15982320 16381878 17701340 21241608 21842504 26552010 27303130 32763756 35402680 40954695 42483216 43685008 53104020 54606260 65527512 70805360 81909390 106208040 109212520 131055024 163818780 212416080 218425040 327637560 655275120 1437543091 2875086182 4312629273 5750172364 7187715455 8625258546 11500344728 14375430910 17250517092 21563146365 23000689456 28750861820 34501034184 43126292730 57501723640 58939266731 69002068368 86252585460 115003447280 117878533462 172505170920 176817800193 235757066924 294696333655 345010341840 353635600386 471514133848 589392667310 707271200772 884089000965 943028267696 1178785334620 1414542401544 1768178001930 2357570669240 2829084803088 3536356003860 4715141338480 7072712007720 14145424015440