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14102134024110 = 235112911251130973
BaseRepresentation
bin1100110100110110100010…
…1100000110011110101110
31211221011001222002221202020
43031031220230012132232
53322022132302232420
645554233025411010
72653563012261516
oct315155054063656
954834058087666
1014102134024110
114547755018680
1216b9108199a66
137b3a96905042
1436a792ab4846
15196c67671340
hexcd368b067ae

14102134024110 has 128 divisors (see below), whose sum is σ = 38198808092160. Its totient is φ = 3300494400000.

The previous prime is 14102134024087. The next prime is 14102134024151. The reversal of 14102134024110 is 1142043120141.

It is a happy number.

It is a super-2 number, since 2×141021340241102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107606584 + ... + 107737556.

It is an arithmetic number, because the mean of its divisors is an integer number (298428188220).

Almost surely, 214102134024110 is an apocalyptic number.

14102134024110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102134024110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099404046080).

14102134024110 is an abundant number, since it is smaller than the sum of its proper divisors (24096674068050).

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

14102134024110 is a wasteful number, since it uses less digits than its factorization.

14102134024110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142274.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14102134024110 its reverse (1142043120141), we get a palindrome (15244177144251).

The spelling of 14102134024110 in words is "fourteen trillion, one hundred two billion, one hundred thirty-four million, twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 11251 22502 33753 56255 67506 112510 123761 130973 168765 247522 261946 326279 337530 371283 392919 618805 652558 654865 742566 785838 978837 1237610 1309730 1440703 1631395 1856415 1957674 1964595 2881406 3262790 3589069 3712830 3798217 3929190 4322109 4894185 7178138 7203515 7596434 8644218 9788370 10767207 11394651 14407030 17945345 18991085 21534414 21610545 22789302 35890690 37982170 41780387 43221090 53836035 56973255 83560774 107672070 113946510 125341161 208901935 250682322 417803870 626705805 1253411610 1473577223 2947154446 4420731669 7367886115 8841463338 14735772230 16209349453 22103658345 32418698906 42733739467 44207316690 48628048359 81046747265 85467478934 97256096718 128201218401 162093494530 213668697335 243140241795 256402436802 427337394670 470071134137 486280483590 641006092005 940142268274 1282012184010 1410213402411 2350355670685 2820426804822 4700711341370 7051067012055 14102134024110