Search a number
-
+
144311002143420 = 22357232649522919
BaseRepresentation
bin100000110100000000000110…
…000001010001101010111100
3200220221222220212100001201210
4200310000012001101222330
5122403342413022042140
61230531320440204420
742253061106635460
oct4064000601215274
9626858825301653
10144311002143420
1141a88a52591322
1214228532769710
13626a613832b68
14278c992a3a4a0
1511a3cd89b9d80
hex834006051abc

144311002143420 has 144 divisors (see below), whose sum is σ = 482746218877440. Its totient is φ = 31551225264768.

The previous prime is 144311002143379. The next prime is 144311002143457. The reversal of 144311002143420 is 24341200113441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324539280 + ... + 324983639.

It is an arithmetic number, because the mean of its divisors is an integer number (3352404297760).

Almost surely, 2144311002143420 is an apocalyptic number.

144311002143420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311002143420 is an abundant number, since it is smaller than the sum of its proper divisors (338435216734020).

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

144311002143420 is a wasteful number, since it uses less digits than its factorization.

144311002143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649522984 (or 649522959 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144311002143420 its reverse (24341200113441), we get a palindrome (168652202256861).

The spelling of 144311002143420 in words is "one hundred forty-four trillion, three hundred eleven billion, two million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 529 644 690 805 966 1058 1380 1587 1610 1932 2116 2415 2645 3174 3220 3703 4830 5290 6348 7406 7935 9660 10580 11109 14812 15870 18515 22218 31740 37030 44436 55545 74060 111090 222180 649522919 1299045838 1948568757 2598091676 3247614595 3897137514 4546660433 6495229190 7794275028 9093320866 9742843785 12990458380 13639981299 14939027137 18186641732 19485687570 22733302165 27279962598 29878054274 38971375140 44817081411 45466604330 54559925196 59756108548 68199906495 74695135685 89634162822 90933208660 104573189959 136399812990 149390271370 179268325644 209146379918 224085407055 272799625980 298780542740 313719569877 343597624151 418292759836 448170814110 522865949795 627439139754 687195248302 896341628220 1030792872453 1045731899590 1254878279508 1374390496604 1568597849385 1717988120755 2061585744906 2091463799180 2405183369057 3137195698770 3435976241510 4123171489812 4810366738114 5153964362265 6274391397540 6871952483020 7215550107171 9620733476228 10307928724530 12025916845285 14431100214342 20615857449060 24051833690570 28862200428684 36077750535855 48103667381140 72155501071710 144311002143420