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40976867904 = 263733192111
BaseRepresentation
bin100110001010011010…
…010110001001000000
310220202202012120100020
4212022122112021000
51132410034233104
630454032253440
72650305426120
oct461232261100
9126682176306
1040976867904
1116418412395
127b370a1280
133b305807cb
141daa216c80
1510ec6492d9
hex98a696240

40976867904 has 112 divisors (see below), whose sum is σ = 124281931776. Its totient is φ = 11672179200.

The previous prime is 40976867851. The next prime is 40976867917.

40976867904 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

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, 398809 + ... + 490919.

Almost surely, 240976867904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40976867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62140965888).

40976867904 is an abundant number, since it is smaller than the sum of its proper divisors (83305063872).

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

40976867904 is a wasteful number, since it uses less digits than its factorization.

40976867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92464 (or 92454 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 40976867904 in words is "forty billion, nine hundred seventy-six million, eight hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 331 336 448 662 672 993 1324 1344 1986 2317 2648 3972 4634 5296 6951 7944 9268 10592 13902 15888 18536 21184 27804 31776 37072 55608 63552 74144 92111 111216 148288 184222 222432 276333 368444 444864 552666 644777 736888 1105332 1289554 1473776 1934331 2210664 2579108 2947552 3868662 4421328 5158216 5895104 7737324 8842656 10316432 15474648 17685312 20632864 30488741 30949296 41265728 60977482 61898592 91466223 121954964 123797184 182932446 213421187 243909928 365864892 426842374 487819856 640263561 731729784 853684748 975639712 1280527122 1463459568 1707369496 1951279424 2561054244 2926919136 3414738992 5122108488 5853838272 6829477984 10244216976 13658955968 20488433952 40976867904