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40713207047226 = 23272409382129537
BaseRepresentation
bin10010100000111010010000…
…01111100110010000111010
312100011010220101210220220200
421100131020033212100322
520314021122001002401
6222331220014303030
711401301136653100
oct1120351017462072
9170133811726820
1040713207047226
1111a77412a9482a
1246965aa7b7a76
131994314c8a23c
14a0a75b843c70
154a909d4c3686
hex2507483e643a

40713207047226 has 144 divisors (see below), whose sum is σ = 102895193517480. Its totient is φ = 11600474296320.

The previous prime is 40713207047189. The next prime is 40713207047239. The reversal of 40713207047226 is 62274070231704.

40713207047226 is a `hidden beast` number, since 4 + 0 + 71 + 3 + 20 + 70 + 472 + 26 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37366140456225 + 3347066591001 = 6112785^2 + 1829499^2 .

It is a super-3 number, since 3×407132070472263 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1378365130 + ... + 1378394666.

Almost surely, 240713207047226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40713207047226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51447596758740).

40713207047226 is an abundant number, since it is smaller than the sum of its proper divisors (62181986470254).

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

40713207047226 is a wasteful number, since it uses less digits than its factorization.

40713207047226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33789 (or 33779 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 40713207047226 in words is "forty trillion, seven hundred thirteen billion, two hundred seven million, forty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 409 441 818 882 1227 2454 2863 3681 3821 5726 7362 7642 8589 11463 17178 20041 22926 25767 26747 29537 34389 40082 51534 53494 59074 60123 68778 80241 88611 120246 160482 177222 180369 187229 206759 240723 265833 360738 374458 413518 481446 531666 561687 620277 1123374 1240554 1447313 1562789 1685061 1860831 2894626 3125578 3370122 3721662 4341939 4688367 8683878 9376734 10939523 12080633 13025817 14065101 21879046 24161266 26051634 28130202 32818569 36241899 65637138 72483798 76576661 84564431 98455707 108725697 112860877 153153322 169128862 196911414 217451394 225721754 229729983 253693293 338582631 459459966 507386586 591951017 677165262 689189949 761079879 790026139 1015747893 1183902034 1378379898 1522159758 1580052278 1775853051 2031495786 2370078417 3551706102 4740156834 5327559153 5530182973 7110235251 10655118306 11060365946 14220470502 16590548919 33181097838 46160098693 49771646757 92320197386 99543293514 138480296079 276960592158 323120690851 415440888237 646241381702 830881776474 969362072553 1938724145106 2261844835957 2908086217659 4523689671914 5816172435318 6785534507871 13571069015742 20356603523613 40713207047226