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14122141440 = 283511334331
BaseRepresentation
bin11010010011011111…
…01100011100000000
31100110012022010010120
431021233230130000
5212410232011230
610253154300240
71006650136011
oct151157543400
940405263116
1014122141440
115a97642980
1228a1587680
131440a05714
1497d7cd008
15579c0d310
hex349bec700

14122141440 has 144 divisors (see below), whose sum is σ = 49202971776. Its totient is φ = 3423539200.

The previous prime is 14122141421. The next prime is 14122141487. The reversal of 14122141440 is 4414122141.

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 14122141440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124926 + ... + 209405.

It is an arithmetic number, because the mean of its divisors is an integer number (341687304).

Almost surely, 214122141440 is an apocalyptic number.

14122141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122141440 is an abundant number, since it is smaller than the sum of its proper divisors (35080830336).

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

14122141440 is a wasteful number, since it uses less digits than its factorization.

14122141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334366 (or 334352 counting only the distinct ones).

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

Adding to 14122141440 its reverse (4414122141), we get a palindrome (18536263581).

The spelling of 14122141440 in words is "fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 334331 668662 1002993 1337324 1671655 2005986 2674648 3343310 3677641 4011972 5014965 5349296 6686620 7355282 8023944 10029930 10698592 11032923 13373240 14710564 16047888 18388205 20059860 21397184 22065846 26746480 29421128 32095776 36776410 40119720 42794368 44131692 53492960 55164615 58842256 64191552 73552820 80239440 85588736 88263384 106985920 110329230 117684512 128383104 147105640 160478880 176526768 213971840 220658460 235369024 256766208 294211280 320957760 353053536 427943680 441316920 470738048 588422560 641915520 706107072 882633840 941476096 1176845120 1283831040 1412214144 1765267680 2353690240 2824428288 3530535360 4707380480 7061070720 14122141440