Search a number
-
+
144020135250 = 23253565911311
BaseRepresentation
bin1000011000100001000…
…1001101110101010010
3111202202000021220120100
42012020101031311102
54324423123312000
6150054551153230
713255644644145
oct2061021156522
9452660256510
10144020135250
1156095680272
1223ab4075816
1310772713554
146d8350405c
153b2db22a00
hex218844dd52

144020135250 has 96 divisors (see below), whose sum is σ = 389533697280. Its totient is φ = 38395188000.

The previous prime is 144020135249. The next prime is 144020135309. The reversal of 144020135250 is 52531020441.

144020135250 is a `hidden beast` number, since 1 + 4 + 402 + 0 + 1 + 3 + 5 + 250 = 666.

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, 12727095 + ... + 12738405.

It is an arithmetic number, because the mean of its divisors is an integer number (4057642680).

Almost surely, 2144020135250 is an apocalyptic number.

144020135250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144020135250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194766848640).

144020135250 is an abundant number, since it is smaller than the sum of its proper divisors (245513562030).

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

144020135250 is a wasteful number, since it uses less digits than its factorization.

144020135250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993 (or 16980 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 144020135250 its reverse (52531020441), we get a palindrome (196551155691).

The spelling of 144020135250 in words is "one hundred forty-four billion, twenty million, one hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 5659 11311 11318 16977 22622 28295 33933 33954 50931 56555 56590 67866 84885 101799 101862 113110 141475 169665 169770 203598 254655 282775 282950 339330 424425 508995 509310 565550 707375 848325 848850 1017990 1273275 1413875 1414750 1696650 2122125 2544975 2546550 2827750 4241625 4244250 5089950 6366375 8483250 12724875 12732750 25449750 64008949 128017898 192026847 320044745 384053694 576080541 640089490 960134235 1152161082 1600223725 1920268470 2880402705 3200447450 4800671175 5760805410 8001118625 9601342350 14402013525 16002237250 24003355875 28804027050 48006711750 72010067625 144020135250