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40534319907648 = 2632710053154739
BaseRepresentation
bin10010011011101101000011…
…01111010100001101000000
312022112001011110002200011200
421031312201233110031000
520303103241344021043
6222113113130141200
711352336143241030
oct1115664157241500
9168461143080150
1040534319907648
1111a08565951106
1246679a5881800
1319804a6a7a1a8
14a01c2b7738c0
154a45cd8417d3
hex24dda1bd4340

40534319907648 has 84 divisors (see below), whose sum is σ = 132782067805920. Its totient is φ = 11581234258176.

The previous prime is 40534319907617. The next prime is 40534319907733. The reversal of 40534319907648 is 84670991343504.

40534319907648 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 431 + 9 + 90 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5026573338 + ... + 5026581401.

Almost surely, 240534319907648 is an apocalyptic number.

40534319907648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40534319907648 is an abundant number, since it is smaller than the sum of its proper divisors (92247747898272).

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

40534319907648 is a wasteful number, since it uses less digits than its factorization.

40534319907648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053154764 (or 10053154751 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 40534319907648 in words is "forty trillion, five hundred thirty-four billion, three hundred nineteen million, nine hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10053154739 20106309478 30159464217 40212618956 60318928434 70372083173 80425237912 90478392651 120637856868 140744166346 160850475824 180956785302 211116249519 241275713736 281488332692 321700951648 361913570604 422232499038 482551427472 562976665384 633348748557 643401903296 723827141208 844464998076 965102854944 1125953330768 1266697497114 1447654282416 1688929996152 1930205709888 2251906661536 2533394994228 2895308564832 3377859992304 4503813323072 5066789988456 5790617129664 6755719984608 10133579976912 13511439969216 20267159953824 40534319907648