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14122543351434 = 237171071489124147
BaseRepresentation
bin1100110110000010100100…
…1011100000011010001010
31212000002202022212012112020
43031200221023200122022
53322340432044221214
650011450140225310
72655214534555530
oct315405113403212
955002668765466
1014122543351434
114555378603341
12170106323b236
137b599a03889b
1436b76b4ac150
1519755e2e44a9
hexcd8292e068a

14122543351434 has 128 divisors (see below), whose sum is σ = 34521804564480. Its totient is φ = 3759609655296.

The previous prime is 14122543351421. The next prime is 14122543351439. The reversal of 14122543351434 is 43415334522141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14122543351439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113694549 + ... + 113818695.

It is an arithmetic number, because the mean of its divisors is an integer number (269701598160).

Almost surely, 214122543351434 is an apocalyptic number.

14122543351434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122543351434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260902282240).

14122543351434 is an abundant number, since it is smaller than the sum of its proper divisors (20399261213046).

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

14122543351434 is a wasteful number, since it uses less digits than its factorization.

14122543351434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125772.

The product of its digits is 691200, while the sum is 42.

Adding to 14122543351434 its reverse (43415334522141), we get a palindrome (57537877873575).

The spelling of 14122543351434 in words is "fourteen trillion, one hundred twenty-two billion, five hundred forty-three million, three hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 107 119 214 238 321 357 642 714 749 1489 1498 1819 2247 2978 3638 4467 4494 5457 8934 10423 10914 12733 20846 25313 25466 31269 38199 50626 62538 75939 76398 124147 151878 159323 177191 248294 318646 354382 372441 477969 531573 744882 869029 955938 1063146 1115261 1738058 2110499 2230522 2607087 2708491 3345783 4220998 5214174 5416982 6331497 6691566 8125473 12662994 13283729 14773493 16250946 18959437 26567458 29546986 37918874 39851187 44320479 56878311 79702374 88640958 92986103 113756622 184854883 185972206 225823393 278958309 369709766 451646786 554564649 557916618 677470179 1109129298 1293984181 1354940358 1580763751 2587968362 3142533011 3161527502 3881952543 4742291253 6285066022 7763905086 9427599033 9484582506 18855198066 19779472481 21997731077 39558944962 43995462154 59338417443 65993193231 118676834886 131986386462 138456307367 276912614734 336251032177 415368922101 672502064354 830737844202 1008753096531 2017506193062 2353757225239 4707514450478 7061271675717 14122543351434