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23412232333440 = 273254064623669
BaseRepresentation
bin1010101001011000101011…
…10010101010100010000000
310001220012001201121002000100
411110230111302222202000
511032041222434132230
6121443233035122400
74634322641215506
oct524542562524200
9101805051532010
1023412232333440
117507087884295
1227615452a3400
13100a9c1781ba2
145ad22db32676
152a9014d38660
hex154b15caa880

23412232333440 has 96 divisors (see below), whose sum is σ = 80845364796300. Its totient is φ = 6243261954048.

The previous prime is 23412232333439. The next prime is 23412232333463. The reversal of 23412232333440 is 4433323221432.

23412232333440 is a `hidden beast` number, since 2 + 3 + 41 + 223 + 23 + 334 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23167587345984 + 244644987456 = 4813272^2 + 494616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23412232333395 and 23412232333404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2032306075 + ... + 2032317594.

Almost surely, 223412232333440 is an apocalyptic number.

23412232333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23412232333440 is an abundant number, since it is smaller than the sum of its proper divisors (57433132462860).

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

23412232333440 is a wasteful number, since it uses less digits than its factorization.

23412232333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064623694 (or 4064623679 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23412232333440 its reverse (4433323221432), we get a palindrome (27845555554872).

The spelling of 23412232333440 in words is "twenty-three trillion, four hundred twelve billion, two hundred thirty-two million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 4064623669 8129247338 12193871007 16258494676 20323118345 24387742014 32516989352 36581613021 40646236690 48775484028 60969355035 65033978704 73163226042 81292473380 97550968056 121938710070 130067957408 146326452084 162584946760 182908065105 195101936112 243877420140 260135914816 292652904168 325169893520 365816130210 390203872224 487754840280 520271829632 585305808336 650339787040 731632260420 780407744448 975509680560 1170611616672 1300679574080 1463264520840 1560815488896 1951019361120 2341223233344 2601359148160 2926529041680 3902038722240 4682446466688 5853058083360 7804077444480 11706116166720 23412232333440