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114146323456 = 2101110133729
BaseRepresentation
bin110101001001110100…
…1101010110000000000
3101220122001110000212111
41222103221222300000
53332232424322311
6124234343505104
711150436512014
oct1522351526000
9356561400774
10114146323456
1144455695310
121a157458194
13a9c1530c39
14574bb46544
152e81122d21
hex1a93a6ac00

114146323456 has 44 divisors (see below), whose sum is σ = 248924943720. Its totient is φ = 51884687360.

The previous prime is 114146323409. The next prime is 114146323463. The reversal of 114146323456 is 654323641411.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-3 number, since 3×1141463234563 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055601 + ... + 5078128.

Almost surely, 2114146323456 is an apocalyptic number.

114146323456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114146323456 is an abundant number, since it is smaller than the sum of its proper divisors (134778620264).

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

114146323456 is a wasteful number, since it uses less digits than its factorization.

114146323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133760 (or 10133742 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

Adding to 114146323456 its reverse (654323641411), we get a palindrome (768469964867).

The spelling of 114146323456 in words is "one hundred fourteen billion, one hundred forty-six million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 10133729 20267458 40534916 81069832 111471019 162139664 222942038 324279328 445884076 648558656 891768152 1297117312 1783536304 2594234624 3567072608 5188469248 7134145216 10376938496 14268290432 28536580864 57073161728 114146323456