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1041684337040 = 24559921737987
BaseRepresentation
bin11110010100010010011…
…10011001000110010000
310200120202202212011000212
433022021032121012100
5114031332142241130
62114313154303252
7135154623525314
oct17121116310620
93616682764025
101041684337040
11371859719316
12149a75b87b28
13772cc2a2329
14385bc5bdb44
151c16b05ae95
hexf289399190

1041684337040 has 40 divisors (see below), whose sum is σ = 2425959460800. Its totient is φ = 415978100096.

The previous prime is 1041684337039. The next prime is 1041684337117. The reversal of 1041684337040 is 407334861401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10416843370403 (a number of 37 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 10821074 + ... + 10916913.

It is an arithmetic number, because the mean of its divisors is an integer number (60648986520).

Almost surely, 21041684337040 is an apocalyptic number.

1041684337040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041684337040 is an abundant number, since it is smaller than the sum of its proper divisors (1384275123760).

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

1041684337040 is a wasteful number, since it uses less digits than its factorization.

1041684337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21738599 (or 21738593 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 1041684337040 in words is "one trillion, forty-one billion, six hundred eighty-four million, three hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 599 1198 2396 2995 4792 5990 9584 11980 23960 47920 21737987 43475974 86951948 108689935 173903896 217379870 347807792 434759740 869519480 1739038960 13021054213 26042108426 52084216852 65105271065 104168433704 130210542130 208336867408 260421084260 520842168520 1041684337040