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2423145309228 = 223572831258429
BaseRepresentation
bin100011010000101110101…
…101110010010000101100
322120122120011101202100000
4203100232231302100230
5304200100144343403
65053102205304300
7340031541200520
oct43205655622054
98518504352300
102423145309228
118547173a0616
12331756565090
1314766a0aa657
14853d0967d80
154307183a7a3
hex2342eb7242c

2423145309228 has 144 divisors (see below), whose sum is σ = 7285121742080. Its totient is φ = 689880297024.

The previous prime is 2423145309209. The next prime is 2423145309241. The reversal of 2423145309228 is 8229035413242.

2423145309228 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 4 + 530 + 92 + 28 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1296318 + ... + 2554746.

Almost surely, 22423145309228 is an apocalyptic number.

2423145309228 is a gapful number since it is divisible by the number (28) 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 2423145309228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642560871040).

2423145309228 is an abundant number, since it is smaller than the sum of its proper divisors (4861976432852).

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

2423145309228 is a wasteful number, since it uses less digits than its factorization.

2423145309228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258738 (or 1258724 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2423145309228 in words is "two trillion, four hundred twenty-three billion, one hundred forty-five million, three hundred nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 283 324 378 486 566 567 756 849 972 1132 1134 1698 1701 1981 2268 2547 3396 3402 3962 5094 5943 6804 7641 7924 10188 11886 15282 17829 22923 23772 30564 35658 45846 53487 68769 71316 91692 106974 137538 160461 213948 275076 320922 481383 641844 962766 1258429 1925532 2516858 3775287 5033716 7550574 8809003 11325861 15101148 17618006 22651722 26427009 33977583 35236012 45303444 52854018 67955166 79281027 101932749 105708036 135910332 158562054 203865498 237843081 305798247 317124108 356135407 407730996 475686162 611596494 712270814 713529243 951372324 1068406221 1223192988 1424541628 1427058486 2136812442 2140587729 2492947849 2854116972 3205218663 4273624884 4281175458 4985895698 6410437326 7478843547 8562350916 9615655989 9971791396 12820874652 14957687094 19231311978 22436530641 28846967967 29915374188 38462623956 44873061282 57693935934 67309591923 86540903901 89746122564 115387871868 134619183846 173081807802 201928775769 269238367692 346163615604 403857551538 605786327307 807715103076 1211572654614 2423145309228