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23044034444112 = 24321118797742417
BaseRepresentation
bin1010011110101010110110…
…11111001011101101010000
310000120222200101022022111100
411033111123133023231100
511010023140304202422
6121002141104344400
74565606440621353
oct517253337135520
9100528611268440
1023044034444112
117384a13761390
122702108615100
13cb2073987616
145994a148029a
1529e66538c7ac
hex14f55b7cbb50

23044034444112 has 120 divisors (see below), whose sum is σ = 70391586882240. Its totient is φ = 6979323479040.

The previous prime is 23044034444087. The next prime is 23044034444129. The reversal of 23044034444112 is 21144443044032.

23044034444112 is a `hidden beast` number, since 2 + 30 + 4 + 40 + 34 + 444 + 112 = 666.

It is a super-2 number, since 2×230440344441122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894873 + ... + 6847544.

It is an arithmetic number, because the mean of its divisors is an integer number (586596557352).

Almost surely, 223044034444112 is an apocalyptic number.

23044034444112 is a gapful number since it is divisible by the number (22) 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 23044034444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35195793441120).

23044034444112 is an abundant number, since it is smaller than the sum of its proper divisors (47347552438128).

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

23044034444112 is a wasteful number, since it uses less digits than its factorization.

23044034444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744321 (or 7744312 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23044034444112 its reverse (21144443044032), we get a palindrome (44188477488144).

The spelling of 23044034444112 in words is "twenty-three trillion, forty-four billion, thirty-four million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1879 3758 5637 7516 11274 15032 16911 20669 22548 30064 33822 41338 45096 62007 67644 82676 90192 124014 135288 165352 186021 248028 270576 330704 372042 496056 744084 992112 1488168 2976336 7742417 15484834 23227251 30969668 46454502 61939336 69681753 85166587 92909004 123878672 139363506 170333174 185818008 255499761 278727012 340666348 371636016 510999522 557454024 681332696 766499283 1021999044 1114908048 1362665392 1532998566 2043998088 3065997132 4087996176 6131994264 12263988528 14548001543 29096003086 43644004629 58192006172 87288009258 116384012344 130932013887 160028016973 174576018516 232768024688 261864027774 320056033946 349152037032 480084050919 523728055548 640112067892 698304074064 960168101838 1047456111096 1280224135784 1440252152757 1920336203676 2094912222192 2560448271568 2880504305514 3840672407352 5761008611028 7681344814704 11522017222056 23044034444112