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14222042001240 = 23351399226737369
BaseRepresentation
bin1100111011110101001111…
…0000101110111101011000
31212100121120120010022121020
43032331103300232331120
53331003220223014430
650125303233442440
72665336313254623
oct316752360567530
955317516108536
1014222042001240
114593596a3a637
1217183b1110420
137c2195a0c7b8
143724c9b04dba
15199e344eab10
hexcef53c2ef58

14222042001240 has 128 divisors (see below), whose sum is σ = 42716600640000. Its totient is φ = 3788060525568.

The previous prime is 14222042001227. The next prime is 14222042001247. The reversal of 14222042001240 is 4210024022241.

It is a happy number.

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 14222042001240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222042001247) 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, 380565276 + ... + 380602644.

It is an arithmetic number, because the mean of its divisors is an integer number (333723442500).

Almost surely, 214222042001240 is an apocalyptic number.

14222042001240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222042001240 is an abundant number, since it is smaller than the sum of its proper divisors (28494558638760).

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

14222042001240 is a wasteful number, since it uses less digits than its factorization.

14222042001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41049 (or 41045 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14222042001240 its reverse (4210024022241), we get a palindrome (18432066023481).

The spelling of 14222042001240 in words is "fourteen trillion, two hundred twenty-two billion, forty-two million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1399 2267 2798 4197 4534 5596 6801 6995 8394 9068 11192 11335 13602 13990 16788 18136 20985 22670 27204 27980 33576 34005 37369 41970 45340 54408 55960 68010 74738 83940 90680 112107 136020 149476 167880 186845 224214 272040 298952 373690 448428 560535 747380 896856 1121070 1494760 2242140 3171533 4484280 6343066 9514599 12686132 15857665 19029198 25372264 31715330 38058396 47572995 52279231 63430660 76116792 84715523 95145990 104558462 126861320 156837693 169431046 190291980 209116924 254146569 261396155 313675386 338862092 380583960 418233848 423577615 508293138 522792310 627350772 677724184 784188465 847155230 1016586276 1045584620 1254701544 1270732845 1568376930 1694310460 2033172552 2091169240 2541465690 3136753860 3388620920 5082931380 6273507720 10165862760 118517016677 237034033354 355551050031 474068066708 592585083385 711102100062 948136133416 1185170166770 1422204200124 1777755250155 2370340333540 2844408400248 3555510500310 4740680667080 7111021000620 14222042001240