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114898014 = 23471161151
BaseRepresentation
bin1101101100100…
…11010001011110
322000012102110000
412312103101132
5213403214024
615222355130
72563421430
oct666232136
9260172400
10114898014
1159947640
123258baa6
131aa5b8ba
141138c650
15a148cc9
hex6d9345e

114898014 has 160 divisors (see below), whose sum is σ = 328407552. Its totient is φ = 29160000.

The previous prime is 114898013. The next prime is 114898027. The reversal of 114898014 is 410898411.

It is a super-2 number, since 2×1148980142 = 26403107242288392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114898014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114898013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 760839 + ... + 760989.

Almost surely, 2114898014 is an apocalyptic number.

114898014 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 114898014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203776).

114898014 is an abundant number, since it is smaller than the sum of its proper divisors (213509538).

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

114898014 is a wasteful number, since it uses less digits than its factorization.

114898014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 114898014 is about 10719.0491182754. The cubic root of 114898014 is about 486.1506163263.

It can be divided in two parts, 11489 and 8014, that added together give a triangular number (19503 = T197).

The spelling of 114898014 in words is "one hundred fourteen million, eight hundred ninety-eight thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 61 63 66 77 81 99 122 126 151 154 162 183 189 198 231 297 302 366 378 427 453 462 549 567 594 671 693 854 891 906 1057 1098 1134 1281 1342 1359 1386 1647 1661 1782 2013 2079 2114 2562 2718 3171 3294 3322 3843 4026 4077 4158 4697 4941 4983 6039 6237 6342 7686 8154 9211 9394 9513 9882 9966 11529 11627 12078 12231 12474 14091 14949 18117 18422 19026 23058 23254 24462 27633 28182 28539 29898 34587 34881 36234 42273 44847 54351 55266 57078 64477 69174 69762 82899 84546 85617 89694 101321 104643 108702 126819 128954 134541 165798 171234 193431 202642 209286 248697 253638 269082 303963 313929 380457 386862 497394 580293 607926 627858 709247 746091 760914 911889 941787 1160586 1418494 1492182 1740879 1823778 1883574 2127741 2735667 3481758 4255482 5222637 5471334 6383223 8207001 10445274 12766446 16414002 19149669 38299338 57449007 114898014