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71370265344 = 283731428249
BaseRepresentation
bin100001001110111111…
…1111101001100000000
320211012220202010112220
41002131333331030000
52132131241442334
652442000251040
75104423150230
oct1023577751400
9224186663486
1071370265344
11282a4721774
12119b9910a80
1369652b4b51
1436509c7cc0
151ccaa80449
hex109dffd300

71370265344 has 144 divisors (see below), whose sum is σ = 224087808000. Its totient is φ = 19733667840.

The previous prime is 71370265327. The next prime is 71370265361. The reversal of 71370265344 is 44356207317.

It is an interprime number because it is at equal distance from previous prime (71370265327) and next prime (71370265361).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71370265296 and 71370265305.

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 15 ways as a sum of consecutive naturals, for example, 47469 + ... + 380780.

Almost surely, 271370265344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71370265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112043904000).

71370265344 is an abundant number, since it is smaller than the sum of its proper divisors (152717542656).

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

71370265344 is a wasteful number, since it uses less digits than its factorization.

71370265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428306 (or 428292 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 71370265344 in words is "seventy-one billion, three hundred seventy million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 83328 166656 428249 856498 1284747 1712996 2569494 2997743 3425992 5138988 5995486 6851984 8993229 10277976 11990972 13275719 13703968 17986458 20555952 23981944 26551438 27407936 35972916 39827157 41111904 47963888 53102876 54815872 71945832 79654314 82223808 92930033 95927776 106205752 109631744 143891664 159308628 164447616 185860066 191855552 212411504 278790099 287783328 318617256 328895232 371720132 383711104 424823008 557580198 575566656 637234512 743440264 767422208 849646016 1115160396 1151133312 1274469024 1486880528 1699292032 2230320792 2302266624 2548938048 2973761056 3398584064 4460641584 5097876096 5947522112 8921283168 10195752192 11895044224 17842566336 23790088448 35685132672 71370265344