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14112142440 = 23351116276571
BaseRepresentation
bin11010010010010011…
…00011010001101000
31100102111111010002020
431021021203101220
5212400202024230
610252200104440
71006466142264
oct151111432150
940374433066
1014112142440
115a91a33540
12289a165120
13143b914456
1497c3490a4
15578dd5810
hex349263468

14112142440 has 128 divisors (see below), whose sum is σ = 46220613120. Its totient is φ = 3418502400.

The previous prime is 14112142427. The next prime is 14112142463. The reversal of 14112142440 is 4424121141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14112142440.

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, 2144355 + ... + 2150925.

It is an arithmetic number, because the mean of its divisors is an integer number (361098540).

Almost surely, 214112142440 is an apocalyptic number.

14112142440 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 14112142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23110306560).

14112142440 is an abundant number, since it is smaller than the sum of its proper divisors (32108470680).

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

14112142440 is a wasteful number, since it uses less digits than its factorization.

14112142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14112142440 its reverse (4424121141), we get a palindrome (18536263581).

The spelling of 14112142440 in words is "fourteen billion, one hundred twelve million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1627 3254 4881 6508 6571 8135 9762 13016 13142 16270 17897 19524 19713 24405 26284 32540 32855 35794 39048 39426 48810 52568 53691 65080 65710 71588 72281 78852 89485 97620 98565 107382 131420 143176 144562 157704 178970 195240 197130 214764 216843 262840 268455 289124 357940 361405 394260 429528 433686 536910 578248 715880 722810 788520 867372 1073820 1084215 1445620 1734744 2147640 2168430 2891240 4336860 8673720 10691017 21382034 32073051 42764068 53455085 64146102 85528136 106910170 117601187 128292204 160365255 213820340 235202374 256584408 320730510 352803561 427640680 470404748 588005935 641461020 705607122 940809496 1176011870 1282922040 1411214244 1764017805 2352023740 2822428488 3528035610 4704047480 7056071220 14112142440