Search a number
-
+
141064662447180 = 223252540473084833
BaseRepresentation
bin100000000100110000101101…
…000110000111010001001100
3200111110122112212110121222100
4200010300231012013101030
5121442200412041302210
61220004113350115100
741466404560544223
oct4004605506072114
9614418485417870
10141064662447180
1140a4720744882a
12139a333a04ba90
1360934573794b4
1426b97cd4dbcba
1511496379815c0
hex804c2d18744c

141064662447180 has 72 divisors (see below), whose sum is σ = 427897965785472. Its totient is φ = 37617083053056.

The previous prime is 141064662447179. The next prime is 141064662447217. The reversal of 141064662447180 is 81744266460141.

141064662447180 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 6 + 4 + 6 + 624 + 4 + 7 + 1 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44186044 + ... + 47270876.

It is an arithmetic number, because the mean of its divisors is an integer number (5943027302576).

Almost surely, 2141064662447180 is an apocalyptic number.

141064662447180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141064662447180 is an abundant number, since it is smaller than the sum of its proper divisors (286833303338292).

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

141064662447180 is a wasteful number, since it uses less digits than its factorization.

141064662447180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338895 (or 3338890 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 141064662447180 in words is "one hundred forty-one trillion, sixty-four billion, six hundred sixty-two million, four hundred forty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 254047 508094 762141 1016188 1270235 1524282 2286423 2540470 3048564 3084833 3810705 4572846 5080940 6169666 7621410 9145692 9254499 11432115 12339332 15242820 15424165 18508998 22864230 27763497 30848330 37017996 45728460 46272495 55526994 61696660 92544990 111053988 138817485 185089980 277634970 555269940 783692569151 1567385138302 2351077707453 3134770276604 3918462845755 4702155414906 7053233122359 7836925691510 9404310829812 11755388537265 14106466244718 15673851383020 23510777074530 28212932489436 35266165611795 47021554149060 70532331223590 141064662447180