Search a number
-
+
14111030202320 = 24510130748711681
BaseRepresentation
bin1100110101010111101011…
…1100010100111111010000
31211222000000221211122001002
43031111322330110333100
53322143342212433240
650002303501401132
72654326324452242
oct315257274247720
954860027748032
1014111030202320
1145504aa747a77
1216ba98b5691a8
137b4883a0410c
1436ad983c2092
151970d8690d15
hexcd57af14fd0

14111030202320 has 160 divisors (see below), whose sum is σ = 33312011394816. Its totient is φ = 5558409216000.

The previous prime is 14111030202307. The next prime is 14111030202323. The reversal of 14111030202320 is 2320203011141.

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 = 14111030202292 and 14111030202301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111030202323) 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, 1208026880 + ... + 1208038560.

Almost surely, 214111030202320 is an apocalyptic number.

14111030202320 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 14111030202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656005697408).

14111030202320 is an abundant number, since it is smaller than the sum of its proper divisors (19200981192496).

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

14111030202320 is a wasteful number, since it uses less digits than its factorization.

14111030202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14111030202320 its reverse (2320203011141), we get a palindrome (16431233213461).

The spelling of 14111030202320 in words is "fourteen trillion, one hundred eleven billion, thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 307 404 487 505 614 808 974 1010 1228 1535 1616 1948 2020 2435 2456 3070 3896 4040 4870 4912 6140 7792 8080 9740 11681 12280 19480 23362 24560 31007 38960 46724 49187 58405 62014 93448 98374 116810 124028 149509 155035 186896 196748 233620 245935 248056 299018 310070 393496 467240 491870 496112 598036 620140 747545 786992 934480 983740 1179781 1196072 1240280 1495090 1967480 2359562 2392144 2480560 2990180 3586067 3934960 4719124 5688647 5898905 5980360 7172134 9438248 11377294 11797810 11960720 14344268 15100409 17930335 18876496 22754588 23595620 28443235 28688536 30200818 35860670 45509176 47191240 56886470 57377072 60401636 71721340 75502045 91018352 94382480 113772940 120803272 143442680 151004090 227545880 241606544 286885360 302008180 362192767 455091760 574553347 604016360 724385534 1149106694 1208032720 1448771068 1746414629 1810963835 2298213388 2872766735 2897542136 3492829258 3621927670 4596426776 5745533470 5795084272 6985658516 7243855340 8732073145 9192853552 11491066940 13971317032 14487710680 17464146290 22982133880 27942634064 28975421360 34928292580 45964267760 69856585160 139713170320 176387877529 352775755058 705551510116 881939387645 1411103020232 1763878775290 2822206040464 3527757550580 7055515101160 14111030202320