Search a number
-
+
14353150660 = 22517315923081
BaseRepresentation
bin11010101111000001…
…11011001011000100
31101001021222121012121
431113200323023010
5213343401310120
610332125455324
71015453524202
oct152740731304
941037877177
1014353150660
1160a5a85592
122946a11544
131479829174
149a2364072
155901405aa
hex35783b2c4

14353150660 has 96 divisors (see below), whose sum is σ = 33503984640. Its totient is φ = 5140377600.

The previous prime is 14353150649. The next prime is 14353150661. The reversal of 14353150660 is 6605135341.

14353150660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (14353150661) 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 31 ways as a sum of consecutive naturals, for example, 610320 + ... + 633400.

It is an arithmetic number, because the mean of its divisors is an integer number (348999840).

Almost surely, 214353150660 is an apocalyptic number.

14353150660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14353150660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751992320).

14353150660 is an abundant number, since it is smaller than the sum of its proper divisors (19150833980).

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

14353150660 is a wasteful number, since it uses less digits than its factorization.

14353150660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23197 (or 23195 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 14353150660 in words is "fourteen billion, three hundred fifty-three million, one hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 59 62 68 85 118 124 155 170 236 295 310 340 527 590 620 1003 1054 1180 1829 2006 2108 2635 3658 4012 5015 5270 7316 9145 10030 10540 18290 20060 23081 31093 36580 46162 62186 92324 115405 124372 155465 230810 310930 392377 461620 621860 715511 784754 1361779 1431022 1569508 1961885 2723558 2862044 3577555 3923770 5447116 6808895 7155110 7847540 12163687 13617790 14310220 23150243 24327374 27235580 42215149 46300486 48654748 60818435 84430298 92600972 115751215 121636870 168860596 211075745 231502430 243273740 422151490 463004860 717657533 844302980 1435315066 2870630132 3588287665 7176575330 14353150660