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40803291520 = 275127619811
BaseRepresentation
bin100110000000000100…
…001101000110000000
310220022122120222022021
4212000010031012000
51132031120312040
630424512051224
72643100153405
oct460004150600
9126278528267
1040803291520
1116339437932
127aa8b33b14
133b036186a4
141d911522ac
1510dc2ae24a
hex98010d180

40803291520 has 128 divisors (see below), whose sum is σ = 98593689600. Its totient is φ = 16146708480.

The previous prime is 40803291509. The next prime is 40803291547. The reversal of 40803291520 is 2519230804.

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

It is a super-2 number, since 2×408032915202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50311915 + ... + 50312725.

It is an arithmetic number, because the mean of its divisors is an integer number (770263200).

Almost surely, 240803291520 is an apocalyptic number.

40803291520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40803291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49296844800).

40803291520 is an abundant number, since it is smaller than the sum of its proper divisors (57790398080).

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

40803291520 is a wasteful number, since it uses less digits than its factorization.

40803291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 40803291520 in words is "forty billion, eight hundred three million, two hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 619 635 640 811 1016 1238 1270 1622 2032 2476 2540 3095 3244 4055 4064 4952 5080 6190 6488 8110 8128 9904 10160 12380 12976 16220 16256 19808 20320 24760 25952 32440 39616 40640 49520 51904 64880 78613 79232 81280 99040 102997 103808 129760 157226 198080 205994 259520 314452 393065 396160 411988 502009 514985 519040 628904 786130 823976 1004018 1029970 1257808 1572260 1647952 2008036 2059940 2510045 2515616 3144520 3295904 4016072 4119880 5020090 5031232 6289040 6591808 8032144 8239760 10040180 10062464 12578080 13183616 16064288 16479520 20080360 25156160 32128576 32959040 40160720 50312320 63755143 64257152 65918080 80321440 127510286 160642880 255020572 318775715 321285760 510041144 637551430 1020082288 1275102860 2040164576 2550205720 4080329152 5100411440 8160658304 10200822880 20401645760 40803291520