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322142775138 = 23419223472
BaseRepresentation
bin1001011000000010011…
…01001010011101100010
31010210111200110112220000
410230001031022131202
520234222022301023
6403553525400430
732162666260152
oct4540115123542
91123450415800
10322142775138
1111469021aa68
1252524b69116
13244bb420112
141183dc4a762
1585a65e1243
hex4b0134a762

322142775138 has 90 divisors (see below), whose sum is σ = 762154225371. Its totient is φ = 101685953016.

The previous prime is 322142775091. The next prime is 322142775151. The reversal of 322142775138 is 831577241223.

322142775138 is a `hidden beast` number, since 3 + 2 + 21 + 42 + 77 + 513 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161071387569 + 161071387569 = 401337^2 + 401337^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=401337.

It is a super-2 number, since 2×3221427751382 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322142775093 and 322142775102.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137256081 + ... + 137258427.

Almost surely, 2322142775138 is an apocalyptic number.

322142775138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 322142775138

322142775138 is an abundant number, since it is smaller than the sum of its proper divisors (440011450233).

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

322142775138 is an frugal number, since it uses more digits than its factorization.

322142775138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 2371 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 322142775138 in words is "three hundred twenty-two billion, one hundred forty-two million, seven hundred seventy-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 2347 3078 3249 4694 6498 7041 9747 14082 19494 21123 29241 42246 44593 58482 63369 89186 126738 133779 190107 267558 380214 401337 802674 847267 1204011 1694534 2408022 2541801 3612033 5083602 5508409 7224066 7625403 11016818 15250806 16525227 22876209 33050454 45752418 49575681 68628627 99151362 104659771 137257254 148727043 209319542 297454086 313979313 446181129 627958626 892362258 941937939 1883875878 1988535649 2825813817 3977071298 5651627634 5965606947 8477441451 11931213894 16954882902 17896820841 35793641682 53690462523 107380925046 161071387569 322142775138