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244707403553152 = 27311071304344189
BaseRepresentation
bin110111101000111101100001…
…110111001101100110000000
31012002102210120200211122012021
4313220331201313031212000
5224033241230302200102
62224241010153011224
7102354345403361161
oct6750754167154600
91162383520748167
10244707403553152
1170a75910884751
1223541b263b3b14
13a670a698ab887
14445dc89b0b768
151d45603c9e137
hexde8f61dcd980

244707403553152 has 128 divisors (see below), whose sum is σ = 507982447180800. Its totient is φ = 117288554833920.

The previous prime is 244707403553069. The next prime is 244707403553159. The reversal of 244707403553152 is 251355304707442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 244707403553152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244707403553159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5537722674 + ... + 5537766862.

It is an arithmetic number, because the mean of its divisors is an integer number (3968612868600).

Almost surely, 2244707403553152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244707403553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253991223590400).

244707403553152 is an abundant number, since it is smaller than the sum of its proper divisors (263275043627648).

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

244707403553152 is a wasteful number, since it uses less digits than its factorization.

244707403553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57384 (or 57372 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 52.

The spelling of 244707403553152 in words is "two hundred forty-four trillion, seven hundred seven billion, four hundred three million, five hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 214 248 428 496 856 992 1712 1984 3317 3424 3968 6634 6848 13043 13268 13696 26086 26536 44189 52172 53072 88378 104344 106144 176756 208688 212288 353512 404333 417376 424576 707024 808666 834752 1369859 1395601 1414048 1617332 1669504 2739718 2791202 2828096 3234664 4728223 5479436 5582404 5656192 6469328 9456446 10958872 11164808 12938656 18912892 21917744 22329616 25877312 37825784 43263631 43835488 44659232 51754624 75651568 86527262 87670976 89318464 146574913 151303136 173054524 175341952 178636928 293149826 302606272 346109048 576357127 586299652 605212544 692218096 1152714254 1172599304 1384436192 2305428508 2345198608 2768872384 4610857016 4690397216 5537744768 9221714032 9380794432 17867070937 18443428064 18761588864 35734141874 36886856128 61670212589 71468283748 73773712256 123340425178 142936567496 246680850356 285873134992 493361700712 571746269984 986723401424 1143492539968 1911776590259 1973446802848 2286985079936 3823553180518 3946893605696 7647106361036 7893787211392 15294212722072 30588425444144 61176850888288 122353701776576 244707403553152