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40903405440 = 273521303857
BaseRepresentation
bin100110000110000010…
…000110111110000000
310220120121222021210020
4212012002012332000
51132232232433230
630442445533440
72645424131622
oct460602067600
9126517867706
1040903405440
111638a9a6a07
127b16574280
133b1b29bcb1
141da0572c12
1510e5e87810
hex986086f80

40903405440 has 64 divisors (see below), whose sum is σ = 130379610960. Its totient is φ = 10907574272.

The previous prime is 40903405393. The next prime is 40903405471. The reversal of 40903405440 is 4450430904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10650009 + ... + 10653848.

Almost surely, 240903405440 is an apocalyptic number.

40903405440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40903405440 is an abundant number, since it is smaller than the sum of its proper divisors (89476205520).

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

40903405440 is a wasteful number, since it uses less digits than its factorization.

40903405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303879 (or 21303867 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 40903405440 in words is "forty billion, nine hundred three million, four hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21303857 42607714 63911571 85215428 106519285 127823142 170430856 213038570 255646284 319557855 340861712 426077140 511292568 639115710 681723424 852154280 1022585136 1278231420 1363446848 1704308560 2045170272 2556462840 2726893696 3408617120 4090340544 5112925680 6817234240 8180681088 10225851360 13634468480 20451702720 40903405440