Search a number
-
+
10344433245 = 3519314373373
BaseRepresentation
bin10011010001001001…
…11000011001011101
3222200220212122201020
421220210320121131
5132141133330440
64430245034353
7514226142336
oct115044703135
928626778636
1010344433245
114429187893
1220083b59b9
13c8b174923
14701bc128d
154082473d0
hex26893865d

10344433245 has 128 divisors (see below), whose sum is σ = 18704547840. Its totient is φ = 4859688960.

The previous prime is 10344433223. The next prime is 10344433271. The reversal of 10344433245 is 54233444301.

It is not a de Polignac number, because 10344433245 - 27 = 10344433117 is a prime.

It is a super-2 number, since 2×103444332452 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27732879 + ... + 27733251.

It is an arithmetic number, because the mean of its divisors is an integer number (146129280).

Almost surely, 210344433245 is an apocalyptic number.

10344433245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10344433245 is a deficient number, since it is larger than the sum of its proper divisors (8360114595).

10344433245 is a wasteful number, since it uses less digits than its factorization.

10344433245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 10344433245 its reverse (54233444301), we get a palindrome (64577877546).

The spelling of 10344433245 in words is "ten billion, three hundred forty-four million, four hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 3 5 15 19 31 43 57 73 93 95 129 155 215 219 285 365 373 465 589 645 817 1095 1119 1333 1387 1767 1865 2263 2451 2945 3139 3999 4085 4161 5595 6665 6789 6935 7087 8835 9417 11315 11563 12255 15695 16039 19995 20805 21261 25327 27229 33945 34689 35435 42997 47085 48117 57815 59641 75981 80195 81687 97309 106305 126635 128991 136145 173445 178923 214985 219697 240585 291927 298205 304741 379905 408435 486545 497209 517351 644955 659091 844099 894615 914223 1098485 1170847 1459635 1491627 1523705 1552053 1848871 2486045 2532297 2586755 3295455 3512541 4220495 4571115 5546613 5854235 7458135 7760265 9244355 9446971 12661485 16037881 17562705 22246093 27733065 28340913 36296257 47234855 48113643 66738279 80189405 108888771 111230465 141704565 181481285 240568215 333691395 544443855 689628883 2068886649 3448144415 10344433245