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40866882817152 = 273724163084869
BaseRepresentation
bin10010100101011000100000…
…00010001000110010000000
312100200211120022212220012010
421102230100002020302000
520324030334000122102
6222525553051332520
711415351311313540
oct1122542002106200
9170624508786163
1040866882817152
1112026602a53267
124700338451140
1319a5965c28692
14a13d79469320
154ad094b2ed6c
hex252b10088c80

40866882817152 has 128 divisors (see below), whose sum is σ = 124574954486400. Its totient is φ = 11627802869760.

The previous prime is 40866882817043. The next prime is 40866882817177. The reversal of 40866882817152 is 25171828866804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×408668828171522 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30894627 + ... + 32190242.

It is an arithmetic number, because the mean of its divisors is an integer number (973241831925).

Almost surely, 240866882817152 is an apocalyptic number.

40866882817152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40866882817152 is an abundant number, since it is smaller than the sum of its proper divisors (83708071669248).

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

40866882817152 is a wasteful number, since it uses less digits than its factorization.

40866882817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63085134 (or 63085122 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 40866882817152 in words is "forty trillion, eight hundred sixty-six billion, eight hundred eighty-two million, eight hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 241 336 384 448 482 672 723 896 964 1344 1446 1687 1928 2688 2892 3374 3856 5061 5784 6748 7712 10122 11568 13496 15424 20244 23136 26992 30848 40488 46272 53984 80976 92544 107968 161952 215936 323904 647808 63084869 126169738 189254607 252339476 378509214 441594083 504678952 757018428 883188166 1009357904 1324782249 1514036856 1766376332 2018715808 2649564498 3028073712 3532752664 4037431616 5299128996 6056147424 7065505328 8074863232 10598257992 12112294848 14131010656 15203453429 21196515984 24224589696 28262021312 30406906858 42393031968 45610360287 56524042624 60813813716 84786063936 91220720574 106424174003 121627627432 169572127872 182441441148 212848348006 243255254864 319272522009 364882882296 425696696012 486510509728 638545044018 729765764592 851393392024 973021019456 1277090088036 1459531529184 1702786784048 1946042038912 2554180176072 2919063058368 3405573568096 5108360352144 5838126116736 6811147136192 10216720704288 13622294272384 20433441408576 40866882817152