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14182858296 = 23368532851
BaseRepresentation
bin11010011010101110…
…10011111000111000
31100121102112212000000
431031113103320320
5213021302431141
610303203513000
71011315210045
oct151527237070
940542485000
1014182858296
1160189433a2
1228b9988760
131450473a59
149878b61cc
155802035b6
hex34d5d3e38

14182858296 has 112 divisors (see below), whose sum is σ = 39931793160. Its totient is φ = 4720420800.

The previous prime is 14182858231. The next prime is 14182858297. The reversal of 14182858296 is 69285828141.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182858297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4973271 + ... + 4976121.

Almost surely, 214182858296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14182858296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965896580).

14182858296 is an abundant number, since it is smaller than the sum of its proper divisors (25748934864).

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

14182858296 is an equidigital number, since it uses as much as digits as its factorization.

14182858296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3709 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 14182858296 in words is "fourteen billion, one hundred eighty-two million, eight hundred fifty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 853 972 1458 1706 1944 2559 2851 2916 3412 5118 5702 5832 6824 7677 8553 10236 11404 15354 17106 20472 22808 23031 25659 30708 34212 46062 51318 61416 68424 69093 76977 92124 102636 138186 153954 184248 205272 207279 230931 276372 307908 414558 461862 552744 615816 621837 692793 829116 923724 1243674 1385586 1658232 1847448 2078379 2431903 2487348 2771172 4156758 4863806 4974696 5542344 7295709 8313516 9727612 14591418 16627032 19455224 21887127 29182836 43774254 58365672 65661381 87548508 131322762 175097016 196984143 262645524 393968286 525291048 590952429 787936572 1181904858 1575873144 1772857287 2363809716 3545714574 4727619432 7091429148 14182858296