Search a number
-
+
144830664336 = 24319222393733
BaseRepresentation
bin1000011011100010010…
…1001000111010010000
3111211211111110001110010
42012320211020322100
54333103122224321
6150311223434520
713315016222541
oct2067045107220
9454744401403
10144830664336
1156471152816
122409b5b5a40
1310871611a67
14701d0104c8
153b79d79676
hex21b8948e90

144830664336 has 120 divisors (see below), whose sum is σ = 395156375040. Its totient is φ = 45703325952.

The previous prime is 144830664313. The next prime is 144830664343. The reversal of 144830664336 is 633466038441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38795526 + ... + 38799258.

It is an arithmetic number, because the mean of its divisors is an integer number (3292969792).

Almost surely, 2144830664336 is an apocalyptic number.

144830664336 is a gapful number since it is divisible by the number (16) 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 144830664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197578187520).

144830664336 is an abundant number, since it is smaller than the sum of its proper divisors (250325710704).

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

144830664336 is a wasteful number, since it uses less digits than its factorization.

144830664336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 144830664336 in words is "one hundred forty-four billion, eight hundred thirty million, six hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2239 2888 3733 4332 4478 5776 6717 7466 8664 8956 11199 13434 14932 17328 17912 22398 26868 29864 35824 42541 44796 53736 59728 70927 85082 89592 107472 127623 141854 170164 179184 212781 255246 283708 340328 425562 510492 567416 680656 808279 851124 1020984 1134832 1347613 1616558 1702248 2041968 2424837 2695226 3233116 3404496 4042839 4849674 5390452 6466232 8085678 8358187 9699348 10780904 12932464 16171356 16716374 19398696 21561808 25074561 32342712 33432748 38797392 50149122 64685424 66865496 100298244 133730992 158805553 200596488 317611106 401192976 476416659 635222212 952833318 1270444424 1905666636 2540888848 3017305507 3811333272 6034611014 7622666544 9051916521 12069222028 18103833042 24138444056 36207666084 48276888112 72415332168 144830664336