Search a number
-
+
3223112014140 = 22351011277416497
BaseRepresentation
bin101110111001110000011…
…100100101100100111100
3102102010102012212221001020
4232321300130211210330
5410301413133423030
610504402140144140
7451601502041364
oct56716034454474
912363365787036
103223112014140
111032a06784207
124407b1838050
131a4c2719a295
14b1ddc7039a4
1558c91c52510
hex2ee7072593c

3223112014140 has 96 divisors (see below), whose sum is σ = 9121226232384. Its totient is φ = 850318233600.

The previous prime is 3223112014117. The next prime is 3223112014279. The reversal of 3223112014140 is 414102113223.

It is a self number, because there is not a number n which added to its sum of digits gives 3223112014140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7530372 + ... + 7946868.

It is an arithmetic number, because the mean of its divisors is an integer number (95012773254).

Almost surely, 23223112014140 is an apocalyptic number.

3223112014140 is a gapful number since it is divisible by the number (30) 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 3223112014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560613116192).

3223112014140 is an abundant number, since it is smaller than the sum of its proper divisors (5898114218244).

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

3223112014140 is a wasteful number, since it uses less digits than its factorization.

3223112014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417887 (or 417885 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3223112014140 its reverse (414102113223), we get a palindrome (3637214127363).

The spelling of 3223112014140 in words is "three trillion, two hundred twenty-three billion, one hundred twelve million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1277 1515 2020 2554 3030 3831 5108 6060 6385 7662 12770 15324 19155 25540 38310 76620 128977 257954 386931 416497 515908 644885 773862 832994 1249491 1289770 1547724 1665988 1934655 2082485 2498982 2579540 3869310 4164970 4997964 6247455 7738620 8329940 12494910 24989820 42066197 84132394 126198591 168264788 210330985 252397182 420661970 504794364 531866669 630992955 841323940 1063733338 1261985910 1595600007 2127466676 2523971820 2659333345 3191200014 5318666690 6382400028 7978000035 10637333380 15956000070 31912000140 53718533569 107437067138 161155600707 214874134276 268592667845 322311201414 537185335690 644622402828 805778003535 1074370671380 1611556007070 3223112014140