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42010433403312 = 24311412919269851
BaseRepresentation
bin10011000110101010100001…
…11101011011100110110000
312111202011021100001122222110
421203111100331123212300
521001244331422401222
6225203154321205320
711564103463030203
oct1143252075334660
9174664240048873
1042010433403312
11124275854a0220
124865aa1190840
131a5974a55495a
14a5345c8a993a
154ccbc3b6830c
hex263550f5b9b0

42010433403312 has 80 divisors (see below), whose sum is σ = 118421719274880. Its totient is φ = 12727350528000.

The previous prime is 42010433403311. The next prime is 42010433403331. The reversal of 42010433403312 is 21330433401024.

It is a happy number.

42010433403312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420104334033122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42010433403312.

It is not an unprimeable number, because it can be changed into a prime (42010433403311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7454814 + ... + 11815037.

It is an arithmetic number, because the mean of its divisors is an integer number (1480271490936).

Almost surely, 242010433403312 is an apocalyptic number.

It is an amenable number.

42010433403312 is an abundant number, since it is smaller than the sum of its proper divisors (76411285871568).

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

42010433403312 is a wasteful number, since it uses less digits than its factorization.

42010433403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19274002 (or 19273996 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42010433403312 its reverse (21330433401024), we get a palindrome (63340866804336).

The spelling of 42010433403312 in words is "forty-two trillion, ten billion, four hundred thirty-three million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4129 8258 12387 16516 24774 33032 45419 49548 66064 90838 99096 136257 181676 198192 272514 363352 545028 726704 1090056 2180112 19269851 38539702 57809553 77079404 115619106 154158808 211968361 231238212 308317616 423936722 462476424 635905083 847873444 924952848 1271810166 1695746888 2543620332 3391493776 5087240664 10174481328 79565214779 159130429558 238695644337 318260859116 477391288674 636521718232 875217362569 954782577348 1273043436464 1750434725138 1909565154696 2625652087707 3500869450276 3819130309392 5251304175414 7001738900552 10502608350828 14003477801104 21005216701656 42010433403312