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40435246427940 = 223257132468574263
BaseRepresentation
bin10010011000110100100000…
…11111111110111100100100
312022011120102211212102211100
421030122100133332330210
520244442341041143230
6221555410141440100
711342231046454620
oct1114322037767444
9168146384772740
1040435246427940
111197a545511461
124650756270030
1319740481bb310
149db10d7b4180
154a1c30b21660
hex24c6907fef24

40435246427940 has 144 divisors (see below), whose sum is σ = 150958253392128. Its totient is φ = 8531392649472.

The previous prime is 40435246427903. The next prime is 40435246427987. The reversal of 40435246427940 is 4972464253404.

40435246427940 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 524 + 6 + 4 + 2 + 79 + 40 = 666.

It is a super-2 number, since 2×404352464279402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234270752 + ... + 1234303511.

It is an arithmetic number, because the mean of its divisors is an integer number (1048321204112).

Almost surely, 240435246427940 is an apocalyptic number.

It is an amenable number.

40435246427940 is an abundant number, since it is smaller than the sum of its proper divisors (110523006964188).

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

40435246427940 is a wasteful number, since it uses less digits than its factorization.

40435246427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468574298 (or 2468574293 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 40435246427940 in words is "forty trillion, four hundred thirty-five billion, two hundred forty-six million, four hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 2468574263 4937148526 7405722789 9874297052 12342871315 14811445578 17280019841 22217168367 24685742630 29622891156 32091465419 34560039682 37028613945 44434336734 49371485260 51840059523 64182930838 69120079364 74057227890 86400099205 88868673468 96274396257 103680119046 111085841835 128365861676 148114455780 155520178569 160457327095 172800198410 192548792514 207360238092 222171683670 224640257933 259200297615 288823188771 311040357138 320914654190 345600396820 385097585028 444343367340 449280515866 481371981285 518400595230 577646377542 622080714276 641829308380 673920773799 777600892845 898561031732 962743962570 1036801190460 1123201289665 1155292755084 1347841547598 1444115943855 1555201785690 1925487925140 2021762321397 2246402579330 2695683095196 2888231887710 3110403571380 3369603868995 4043524642794 4492805158660 5776463775420 6739207737990 8087049285588 10108811606985 13478415475980 20217623213970 40435246427940