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30544142310 = 23351125140973
BaseRepresentation
bin11100011100100100…
…101001111111100110
32220211200012012022000
4130130210221333212
51000023300023220
622010510550130
72130624632403
oct343444517746
986750165260
1030544142310
1111a54410220
125b05208346
132b5a0342b6
14169a8112aa
15bdb7b1390
hex71c929fe6

30544142310 has 128 divisors (see below), whose sum is σ = 89211870720. Its totient is φ = 7374960000.

The previous prime is 30544142297. The next prime is 30544142329. The reversal of 30544142310 is 1324144503.

It is a happy number.

30544142310 is a `hidden beast` number, since 305 + 4 + 4 + 1 + 42 + 310 = 666.

It is a super-2 number, since 2×305441423102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724984 + ... + 765956.

It is an arithmetic number, because the mean of its divisors is an integer number (696967740).

Almost surely, 230544142310 is an apocalyptic number.

30544142310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30544142310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44605935360).

30544142310 is an abundant number, since it is smaller than the sum of its proper divisors (58667728410).

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

30544142310 is a wasteful number, since it uses less digits than its factorization.

30544142310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41251 (or 41245 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 30544142310 its reverse (1324144503), we get a palindrome (31868286813).

The spelling of 30544142310 in words is "thirty billion, five hundred forty-four million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 251 270 297 330 495 502 594 753 990 1255 1485 1506 2259 2510 2761 2970 3765 4518 5522 6777 7530 8283 11295 13554 13805 16566 22590 24849 27610 33885 40973 41415 49698 67770 74547 81946 82830 122919 124245 149094 204865 245838 248490 368757 372735 409730 450703 614595 737514 745470 901406 1106271 1229190 1352109 1843785 2212542 2253515 2704218 3687570 4056327 4507030 5531355 6760545 8112654 10284223 11062710 12168981 13521090 20281635 20568446 24337962 30852669 40563270 51421115 60844905 61705338 92558007 102842230 113126453 121689810 154263345 185116014 226252906 277674021 308526690 339379359 462790035 555348042 565632265 678758718 925580070 1018138077 1131264530 1388370105 1696896795 2036276154 2776740210 3054414231 3393793590 5090690385 6108828462 10181380770 15272071155 30544142310