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40982388096 = 273138398911
BaseRepresentation
bin100110001010101111…
…011001110110000000
310220210010121000121210
4212022233121312000
51132412442404341
630454350450120
72650403360016
oct461257316600
9126703530553
1040982388096
1116420542831
127b38b03940
133b317642b0
141daac528b6
1510ecd89c16
hex98abd9d80

40982388096 has 128 divisors (see below), whose sum is σ = 118646922240. Its totient is φ = 12457912320.

The previous prime is 40982388079. The next prime is 40982388137. The reversal of 40982388096 is 69088328904.

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

It is a super-2 number, since 2×409823880962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364881 + ... + 463791.

It is an arithmetic number, because the mean of its divisors is an integer number (926929080).

Almost surely, 240982388096 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 40982388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59323461120).

40982388096 is an abundant number, since it is smaller than the sum of its proper divisors (77664534144).

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

40982388096 is a wasteful number, since it uses less digits than its factorization.

40982388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99024 (or 99012 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 40982388096 in words is "forty billion, nine hundred eighty-two million, three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 312 332 384 416 498 624 664 832 996 1079 1248 1328 1664 1992 2158 2496 2656 3237 3984 4316 4992 5312 6474 7968 8632 10624 12948 15936 17264 25896 31872 34528 51792 69056 98911 103584 138112 197822 207168 296733 395644 414336 593466 791288 1186932 1285843 1582576 2373864 2571686 3165152 3857529 4747728 5143372 6330304 7715058 8209613 9495456 10286744 12660608 15430116 16419226 18990912 20573488 24628839 30860232 32838452 37981824 41146976 49257678 61720464 65676904 82293952 98515356 106724969 123440928 131353808 164587904 197030712 213449938 246881856 262707616 320174907 394061424 426899876 493763712 525415232 640349814 788122848 853799752 1050830464 1280699628 1576245696 1707599504 2561399256 3152491392 3415199008 5122798512 6830398016 10245597024 13660796032 20491194048 40982388096