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14414150142 = 2327439727427
BaseRepresentation
bin11010110110010011…
…00111100111111110
31101012112202200202200
431123021213213332
5214010010301032
610342145132330
71020124153230
oct153311474776
941175680680
1014414150142
116127459387
12296332a0a6
131489366032
149aa4c2250
1559568e47c
hex35b2679fe

14414150142 has 96 divisors (see below), whose sum is σ = 36900095232. Its totient is φ = 3980938752.

The previous prime is 14414150137. The next prime is 14414150171. The reversal of 14414150142 is 24105141441.

It is a happy number.

14414150142 is a `hidden beast` number, since 14 + 4 + 141 + 501 + 4 + 2 = 666.

It is a super-2 number, since 2×144141501422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511833 + ... + 539259.

It is an arithmetic number, because the mean of its divisors is an integer number (384375992).

Almost surely, 214414150142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414150142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450047616).

14414150142 is an abundant number, since it is smaller than the sum of its proper divisors (22485945090).

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

14414150142 is a wasteful number, since it uses less digits than its factorization.

14414150142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27582 (or 27579 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14414150142 its reverse (24105141441), we get a palindrome (38519291583).

The spelling of 14414150142 in words is "fourteen billion, four hundred fourteen million, one hundred fifty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 97 126 129 194 258 291 301 387 582 602 679 774 873 903 1358 1746 1806 2037 2709 4074 4171 5418 6111 8342 12222 12513 25026 27427 29197 37539 54854 58394 75078 82281 87591 164562 175182 191989 246843 262773 383978 493686 525546 575967 1151934 1179361 1727901 2358722 2660419 3455802 3538083 5320838 7076166 7981257 8255527 10614249 15962514 16511054 18622933 21228498 23943771 24766581 37245866 47887542 49533162 55868799 74299743 111737598 114398017 148599486 167606397 228796034 335212794 343194051 686388102 800786119 1029582153 1601572238 2059164306 2402358357 4804716714 7207075071 14414150142