Search a number
-
+
445134421115000 = 2354844310544461
BaseRepresentation
bin110010100110110001110111…
…1000011000100000001111000
32011101002102202011100102010022
41211031203233003010001320
5431321040243301140000
64214415532514510012
7162521620630255631
oct14515435703040170
92141072664312108
10445134421115000
111199194a20a8501
1241b12048b95308
131614bcc39c8076
147bcc899bc8888
15366de7b5da585
hex194d8ef0c4078

445134421115000 has 80 divisors (see below), whose sum is σ = 1043073575954520. Its totient is φ = 178032662640000.

The previous prime is 445134421114997. The next prime is 445134421115011. The reversal of 445134421115000 is 511124431544.

It is a super-2 number, since 2×4451344211150002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36942770 + ... + 47487230.

Almost surely, 2445134421115000 is an apocalyptic number.

445134421115000 is a gapful number since it is divisible by the number (40) 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 445134421115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521536787977260).

445134421115000 is an abundant number, since it is smaller than the sum of its proper divisors (597939154839520).

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

445134421115000 is a wasteful number, since it uses less digits than its factorization.

445134421115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552930 (or 10552911 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 445134421115000 its reverse (511124431544), we get a palindrome (445645545546544).

The spelling of 445134421115000 in words is "four hundred forty-five trillion, one hundred thirty-four billion, four hundred twenty-one million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8443 16886 33772 42215 67544 84430 168860 211075 337720 422150 844300 1055375 1688600 2110750 4221500 5276875 8443000 10544461 10553750 21088922 21107500 42177844 42215000 52722305 84355688 105444610 210889220 263611525 421778440 527223050 1054446100 1318057625 2108892200 2636115250 5272230500 6590288125 10544461000 13180576250 26361152500 52722305000 89026884223 178053768446 356107536892 445134421115 712215073784 890268842230 1780537684460 2225672105575 3561075368920 4451344211150 8902688422300 11128360527875 17805376844600 22256721055750 44513442111500 55641802639375 89026884223000 111283605278750 222567210557500 445134421115000