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114546426344 = 2377334980287
BaseRepresentation
bin110101010101101111…
…1111100000111101000
3101221122221022100211222
41222223133330013220
53334042341120334
6124342155241212
711163365362520
oct1525337740750
9357587270758
10114546426344
1144640520559
121a249449208
13aa563aa2cc
145788d36680
152ea6306d2e
hex1aab7fc1e8

114546426344 has 64 divisors (see below), whose sum is σ = 249535104000. Its totient is φ = 48279504384.

The previous prime is 114546426311. The next prime is 114546426373. The reversal of 114546426344 is 443624645411.

It is a happy number.

It is a super-3 number, since 3×1145464263443 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114546426295 and 114546426304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386569 + ... + 1466855.

It is an arithmetic number, because the mean of its divisors is an integer number (3898986000).

Almost surely, 2114546426344 is an apocalyptic number.

114546426344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114546426344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124767552000).

114546426344 is an abundant number, since it is smaller than the sum of its proper divisors (134988677656).

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

114546426344 is a wasteful number, since it uses less digits than its factorization.

114546426344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80722 (or 80718 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The spelling of 114546426344 in words is "one hundred fourteen billion, five hundred forty-six million, four hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 349 511 584 698 1022 1396 2044 2443 2792 4088 4886 9772 19544 25477 50954 80287 101908 160574 178339 203816 321148 356678 562009 642296 713356 1124018 1426712 2248036 4496072 5860951 11721902 23443804 28020163 41026657 46887608 56040326 82053314 112080652 164106628 196141141 224161304 328213256 392282282 784564564 1569129128 2045471899 4090943798 8181887596 14318303293 16363775192 28636606586 57273213172 114546426344