Search a number
-
+
1056034322442 = 2321117503623729
BaseRepresentation
bin11110101111000001000…
…11001111100000001010
310201221210211212221022200
433113200203033200022
5114300224241304232
62125045132301030
7136203341430411
oct17274043174012
93657724787280
101056034322442
11377952931790
121507bb911776
1378778260858
143918035c478
151c70ac7377c
hexf5e08cf80a

1056034322442 has 96 divisors (see below), whose sum is σ = 2648167966080. Its totient is φ = 300586997760.

The previous prime is 1056034322417. The next prime is 1056034322467. The reversal of 1056034322442 is 2442234306501.

1056034322442 is a `hidden beast` number, since 1 + 0 + 5 + 603 + 4 + 3 + 2 + 2 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (1056034322417) and next prime (1056034322467).

It is a super-2 number, since 2×10560343224422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056034322397 and 1056034322406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381234 + ... + 2004962.

It is an arithmetic number, because the mean of its divisors is an integer number (27585082980).

Almost surely, 21056034322442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056034322442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324083983040).

1056034322442 is an abundant number, since it is smaller than the sum of its proper divisors (1592133643638).

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

1056034322442 is a wasteful number, since it uses less digits than its factorization.

1056034322442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624268 (or 624265 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1056034322442 its reverse (2442234306501), we get a palindrome (3498268628943).

The spelling of 1056034322442 in words is "one trillion, fifty-six billion, thirty-four million, three hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 503 561 1006 1122 1509 1683 3018 3366 4527 5533 8551 9054 11066 16599 17102 25653 33198 49797 51306 76959 94061 99594 153918 188122 282183 564366 623729 846549 1247458 1693098 1871187 3742374 5613561 6861019 10603393 11227122 13722038 20583057 21206786 31810179 41166114 61749171 63620358 95430537 116637323 123498342 190861074 233274646 313735687 349911969 627471374 699823938 941207061 1049735907 1882414122 2099471814 2823621183 3451092557 5333506679 5647242366 6902185114 10353277671 10667013358 16000520037 20706555342 31059833013 32001040074 48001560111 58668573469 62119666026 96003120222 117337146938 176005720407 352011440814 528017161221 1056034322442