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10313043440 = 245719969271
BaseRepresentation
bin10011001101011010…
…01000110111110000
3222121201210212222212
421212231020313300
5132110114342230
64423204151252
7513365265020
oct114655106760
928551725885
1010313043440
1144124981a7
121bb9998528
13c8480418b
146db96da80
154055e6895
hex266b48df0

10313043440 has 80 divisors (see below), whose sum is σ = 28845534720. Its totient is φ = 3349797120.

The previous prime is 10313043427. The next prime is 10313043449. The reversal of 10313043440 is 4434031301.

10313043440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313043449) by changing a digit.

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, 473996 + ... + 495275.

It is an arithmetic number, because the mean of its divisors is an integer number (360569184).

Almost surely, 210313043440 is an apocalyptic number.

10313043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313043440 is an abundant number, since it is smaller than the sum of its proper divisors (18532491280).

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

10313043440 is a wasteful number, since it uses less digits than its factorization.

10313043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969310 (or 969304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10313043440 its reverse (4434031301), we get a palindrome (14747074741).

The spelling of 10313043440 in words is "ten billion, three hundred thirteen million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 969271 1938542 3877084 4846355 6784897 7754168 9692710 13569794 15508336 18416149 19385420 27139588 33924485 36832298 38770840 54279176 67848970 73664596 77541680 92080745 108558352 128913043 135697940 147329192 184161490 257826086 271395880 294658384 368322980 515652172 542791760 644565215 736645960 1031304344 1289130430 1473291920 2062608688 2578260860 5156521720 10313043440