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344451542120 = 23579923123973
BaseRepresentation
bin1010000001100101110…
…10010110110001101000
31012221002102100100000222
411000302322112301220
521120414043321440
6422123331545212
733612554541140
oct5006272266150
91187072310028
10344451542120
11123098a08874
125691015b208
132663521c45a
1412958a03920
158e5edb12b5
hex5032e96c68

344451542120 has 64 divisors (see below), whose sum is σ = 885828942720. Its totient is φ = 118084817664.

The previous prime is 344451542081. The next prime is 344451542147. The reversal of 344451542120 is 21245154443.

It is a happy number.

It is a super-2 number, since 2×3444515421202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716454 + ... + 2840426.

It is an arithmetic number, because the mean of its divisors is an integer number (13841077230).

Almost surely, 2344451542120 is an apocalyptic number.

It is an amenable number.

344451542120 is an abundant number, since it is smaller than the sum of its proper divisors (541377400600).

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

344451542120 is a wasteful number, since it uses less digits than its factorization.

344451542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133914 (or 133910 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 344451542120 its reverse (21245154443), we get a palindrome (365696696563).

The spelling of 344451542120 in words is "three hundred forty-four billion, four hundred fifty-one million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9923 19846 39692 49615 69461 79384 99230 123973 138922 198460 247946 277844 347305 396920 495892 555688 619865 694610 867811 991784 1239730 1389220 1735622 2479460 2778440 3471244 4339055 4958920 6942488 8678110 17356220 34712440 1230184079 2460368158 4920736316 6150920395 8611288553 9841472632 12301840790 17222577106 24603681580 34445154212 43056442765 49207363160 68890308424 86112885530 172225771060 344451542120