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40761090147351 = 3723188322814441
BaseRepresentation
bin10010100010010011011100…
…10011001000010000010111
312100022201111110022102211110
421101021232103020100113
520320312203034203401
6222405215235310103
711404614545414100
oct1121115623102027
9170281443272743
1040761090147351
1111a95754826652
1246a393274b333
1319989a62a2a92
14a0cbc0d693a7
154aa4520b39d6
hex25126e4c8417

40761090147351 has 96 divisors (see below), whose sum is σ = 65377947887616. Its totient is φ = 22500229248000.

The previous prime is 40761090147187. The next prime is 40761090147367. The reversal of 40761090147351 is 15374109016704.

It is not a de Polignac number, because 40761090147351 - 214 = 40761090130967 is a prime.

It is a super-2 number, since 2×407610901473512 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40761090147351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40761090147851) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9178356291 + ... + 9178360731.

It is an arithmetic number, because the mean of its divisors is an integer number (681020290496).

Almost surely, 240761090147351 is an apocalyptic number.

40761090147351 is a deficient number, since it is larger than the sum of its proper divisors (24616857740265).

40761090147351 is a wasteful number, since it uses less digits than its factorization.

40761090147351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 40761090147351 in words is "forty trillion, seven hundred sixty-one billion, ninety million, one hundred forty-seven thousand, three hundred fifty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 883 1519 2281 2649 4441 4557 6181 6843 13323 15967 18543 27373 31087 43267 47901 70711 82119 93261 111769 129801 137671 191611 212133 217609 335307 413013 494977 574833 652827 963697 1341277 1484931 2014123 2891091 3464839 3921403 4023831 6042369 6745879 10129921 10394517 11764209 14098861 20237637 27449821 30389763 42296583 62437813 70909447 82349463 98692027 121563493 187313439 192148747 212728341 296076081 314027551 364690479 437064691 496366129 576446241 850944451 942082653 1311194073 1489098387 2198192857 2552833353 3059452837 5956611157 6594578571 8944720243 9178358511 15387349999 17869833471 26834160729 46162049997 62613041701 187839125103 277286327533 438291291907 831858982599 1314873875721 1941004292731 5823012878193 13587030049117 40761090147351