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40126857246 = 2337315713799
BaseRepresentation
bin100101010111101111…
…110100000000011110
310211120111202112221000
4211113233310000132
51124134433412441
630233425451130
72620244442000
oct452757640036
9124514675830
1040126857246
1116021623843
12793a4a0aa6
133a2643a718
141d29390370
15109cbe42b6
hex957bf401e

40126857246 has 128 divisors (see below), whose sum is σ = 104659200000. Its totient is φ = 11390966496.

The previous prime is 40126857233. The next prime is 40126857247. The reversal of 40126857246 is 64275862104.

40126857246 is a `hidden beast` number, since 4 + 0 + 12 + 68 + 572 + 4 + 6 = 666.

It is a super-2 number, since 2×401268572462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40126857247) 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 63 ways as a sum of consecutive naturals, for example, 2901055 + ... + 2914853.

It is an arithmetic number, because the mean of its divisors is an integer number (817650000).

Almost surely, 240126857246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40126857246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52329600000).

40126857246 is an abundant number, since it is smaller than the sum of its proper divisors (64532342754).

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

40126857246 is a wasteful number, since it uses less digits than its factorization.

40126857246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40126857246 in words is "forty billion, one hundred twenty-six million, eight hundred fifty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 157 189 294 314 343 378 441 471 686 882 942 1029 1099 1323 1413 2058 2198 2646 2826 3087 3297 4239 6174 6594 7693 8478 9261 9891 13799 15386 18522 19782 23079 27598 29673 41397 46158 53851 59346 69237 82794 96593 107702 124191 138474 161553 193186 207711 248382 289779 323106 372573 415422 484659 579558 676151 745146 869337 969318 1352302 1453977 1738674 2028453 2166443 2608011 2907954 4056906 4332886 4733057 5216022 6085359 6499329 9466114 12170718 12998658 14199171 15165101 18256077 19497987 28398342 30330202 36512154 38995974 42597513 45495303 58493961 85195026 90990606 106155707 116987922 127792539 136485909 212311414 255585078 272971818 318467121 409457727 636934242 743089949 818915454 955401363 1486179898 1910802726 2229269847 2866204089 4458539694 5732408178 6687809541 13375619082 20063428623 40126857246