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14020342002312 = 23317411575338447
BaseRepresentation
bin1100110000000101110110…
…0000010011001010001000
31211122022221201222201222120
43030001131200103022020
53314202130023033222
645452504534451240
72644636100461542
oct314013540231210
954568851881876
1014020342002312
114515aa2607048
1216a52a0203b20
137a91604446c9
14366833d3c692
15194a7bbc315c
hexcc05d813288

14020342002312 has 128 divisors (see below), whose sum is σ = 38260016202240. Its totient is φ = 4263923589120.

The previous prime is 14020342002307. The next prime is 14020342002361. The reversal of 14020342002312 is 21320024302041.

It is a happy number.

It is a super-2 number, since 2×140203420023122 (a number of 27 digits) contains 22 as substring.

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

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, 42928 + ... + 5295519.

It is an arithmetic number, because the mean of its divisors is an integer number (298906376580).

Almost surely, 214020342002312 is an apocalyptic number.

14020342002312 is a gapful number since it is divisible by the number (12) 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 14020342002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130008101120).

14020342002312 is an abundant number, since it is smaller than the sum of its proper divisors (24239674199928).

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

14020342002312 is a wasteful number, since it uses less digits than its factorization.

14020342002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338671 (or 5338667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14020342002312 its reverse (21320024302041), we get a palindrome (35340366304353).

The spelling of 14020342002312 in words is "fourteen trillion, twenty billion, three hundred forty-two million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 157 164 204 246 314 328 408 471 492 628 697 942 984 1256 1394 1884 2091 2669 2788 3768 4182 5338 5576 6437 8007 8364 10676 12874 16014 16728 19311 21352 25748 32028 38622 51496 64056 77244 109429 154488 218858 328287 437716 656574 875432 1313148 2626296 5338447 10676894 16015341 21353788 32030682 42707576 64061364 90753599 128122728 181507198 218876327 272260797 363014396 437752654 544521594 656628981 726028792 838136179 875505308 1089043188 1313257962 1676272358 1751010616 2178086376 2514408537 2626515924 3352544716 3720897559 5028817074 5253031848 6705089432 7441795118 10057634148 11162692677 14248315043 14883590236 20115268296 22325385354 28496630086 29767180472 34363583339 42744945129 44650770708 56993260172 68727166678 85489890258 89301541416 103090750017 113986520344 137454333356 170979780516 206181500034 274908666712 341959561032 412363000068 584180916763 824726000136 1168361833526 1752542750289 2336723667052 3505085500578 4673447334104 7010171001156 14020342002312