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34242323753440 = 2551119455865769
BaseRepresentation
bin1111100100100101010011…
…00010110010100111100000
311111020112102102021120212101
413302102221202302213200
513442011234340102230
6200454412324140144
710132632463332445
oct762225142624740
9144215372246771
1034242323753440
11aa020a7077250
123a10484b37654
131615063b7a22a
148654a182b9cc
153e5ac4c04aca
hex1f24a98b29e0

34242323753440 has 48 divisors (see below), whose sum is σ = 88251807132720. Its totient is φ = 12451754091520.

The previous prime is 34242323753423. The next prime is 34242323753527. The reversal of 34242323753440 is 4435732324243.

34242323753440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9727931125 + ... + 9727934644.

It is an arithmetic number, because the mean of its divisors is an integer number (1838579315265).

Almost surely, 234242323753440 is an apocalyptic number.

It is an amenable number.

34242323753440 is an abundant number, since it is smaller than the sum of its proper divisors (54009483379280).

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

34242323753440 is a wasteful number, since it uses less digits than its factorization.

34242323753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455865795 (or 19455865787 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 46.

The spelling of 34242323753440 in words is "thirty-four trillion, two hundred forty-two billion, three hundred twenty-three million, seven hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 19455865769 38911731538 77823463076 97279328845 155646926152 194558657690 214014523459 311293852304 389117315380 428029046918 622587704608 778234630760 856058093836 1070072617295 1556469261520 1712116187672 2140145234590 3112938523040 3424232375344 4280290469180 6848464750688 8560580938360 17121161876720 34242323753440