Search a number
-
+
14001024620 = 22511971374789
BaseRepresentation
bin11010000101000011…
…01010111001101100
31100010202101202002102
431002201222321230
5212133230241440
610233150314232
71003646513522
oct150241527154
940122352072
1014001024620
115a35239030
122868ab8978
1314218aa36b
1496b6a2312
1556e286b15
hex34286ae6c

14001024620 has 96 divisors (see below), whose sum is σ = 32649099840. Its totient is φ = 5000970240.

The previous prime is 14001024619. The next prime is 14001024629. The reversal of 14001024620 is 2642010041.

It is a super-2 number, since 2×140010246202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14001024592 and 14001024601.

It is not an unprimeable number, because it can be changed into a prime (14001024629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2921186 + ... + 2925974.

It is an arithmetic number, because the mean of its divisors is an integer number (340094790).

Almost surely, 214001024620 is an apocalyptic number.

14001024620 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 14001024620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324549920).

14001024620 is an abundant number, since it is smaller than the sum of its proper divisors (18648075220).

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

14001024620 is a wasteful number, since it uses less digits than its factorization.

14001024620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14001024620 its reverse (2642010041), we get a palindrome (16643034661).

The spelling of 14001024620 in words is "fourteen billion, one million, twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 137 194 220 274 388 485 548 685 970 1067 1370 1507 1940 2134 2740 3014 4268 4789 5335 6028 7535 9578 10670 13289 15070 19156 21340 23945 26578 30140 47890 52679 53156 66445 95780 105358 132890 146179 210716 263395 265780 292358 464533 526790 584716 656093 730895 929066 1053580 1312186 1461790 1858132 2322665 2624372 2923580 3280465 4645330 5109863 6560930 7217023 9290660 10219726 13121860 14434046 20439452 25549315 28868092 36085115 51098630 63641021 72170230 102197260 127282042 144340460 254564084 318205105 636410210 700051231 1272820420 1400102462 2800204924 3500256155 7000512310 14001024620