Search a number
-
+
42224454011340 = 223252310199143481
BaseRepresentation
bin10011001100111001001011…
…00101010000100111001100
312112111121200210121000221200
421212130211211100213030
521013301140211330330
6225445351341425500
711615421222133356
oct1146344545204714
9175447623530850
1042224454011340
11124aa321555787
12489b47026b290
131a73997519aa3
14a5d962aaa0d6
154d354ce41a60
hex2667259509cc

42224454011340 has 72 divisors (see below), whose sum is σ = 133649576188128. Its totient is φ = 10770295514880.

The previous prime is 42224454011261. The next prime is 42224454011387. The reversal of 42224454011340 is 4311045442224.

42224454011340 is a `hidden beast` number, since 4 + 2 + 2 + 244 + 5 + 401 + 1 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42224454011295 and 42224454011304.

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, 5099567601 + ... + 5099575880.

It is an arithmetic number, because the mean of its divisors is an integer number (1856244113724).

Almost surely, 242224454011340 is an apocalyptic number.

It is an amenable number.

42224454011340 is an abundant number, since it is smaller than the sum of its proper divisors (91425122176788).

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

42224454011340 is a wasteful number, since it uses less digits than its factorization.

42224454011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199143519 (or 10199143514 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 42224454011340 its reverse (4311045442224), we get a palindrome (46535499453564).

The spelling of 42224454011340 in words is "forty-two trillion, two hundred twenty-four billion, four hundred fifty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 10199143481 20398286962 30597430443 40796573924 50995717405 61194860886 91792291329 101991434810 122389721772 152987152215 183584582658 203982869620 234580300063 305974304430 367169165316 458961456645 469160600126 611948608860 703740900189 917922913290 938321200252 1172901500315 1407481800378 1835845826580 2111222700567 2345803000630 2814963600756 3518704500945 4222445401134 4691606001260 7037409001890 8444890802268 10556113502835 14074818003780 21112227005670 42224454011340