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40303321984 = 2712713718097
BaseRepresentation
bin100101100010010000…
…111110001110000000
310212000210210220001001
4211202100332032000
51130020122300414
630303132021344
72624516404312
oct454220761600
9125023726031
1040303321984
11161021a1372
127989601854
133a53b74423
141d449a77b2
1510ad450074
hex96243e380

40303321984 has 64 divisors (see below), whose sum is σ = 81519183360. Its totient is φ = 19845955584.

The previous prime is 40303321979. The next prime is 40303321997. The reversal of 40303321984 is 48912330304.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2218024 + ... + 2236120.

It is an arithmetic number, because the mean of its divisors is an integer number (1273737240).

Almost surely, 240303321984 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 40303321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40759591680).

40303321984 is an abundant number, since it is smaller than the sum of its proper divisors (41215861376).

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

40303321984 is a wasteful number, since it uses less digits than its factorization.

40303321984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18375 (or 18363 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 40303321984 in words is "forty billion, three hundred three million, three hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 137 254 274 508 548 1016 1096 2032 2192 4064 4384 8128 8768 16256 17399 17536 18097 34798 36194 69596 72388 139192 144776 278384 289552 556768 579104 1113536 1158208 2227072 2298319 2316416 2479289 4596638 4958578 9193276 9917156 18386552 19834312 36773104 39668624 73546208 79337248 147092416 158674496 294184832 314869703 317348992 629739406 1259478812 2518957624 5037915248 10075830496 20151660992 40303321984