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40084088440 = 23511520917489
BaseRepresentation
bin100101010101001100…
…101010011001111000
310211110112021200011011
4211111030222121320
51124043011312230
630225301043304
72616215062414
oct452514523170
9124415250134
1040084088440
1115aaa471a20
1279280b6534
133a1a614836
141d23819d44
151099096e2a
hex95532a678

40084088440 has 64 divisors (see below), whose sum is σ = 98412732000. Its totient is φ = 14572400640.

The previous prime is 40084088431. The next prime is 40084088449. The reversal of 40084088440 is 4488048004.

It is an interprime number because it is at equal distance from previous prime (40084088431) and next prime (40084088449).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40084088393 and 40084088402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084088449) by changing a digit.

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, 2283216 + ... + 2300704.

Almost surely, 240084088440 is an apocalyptic number.

40084088440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40084088440 is an abundant number, since it is smaller than the sum of its proper divisors (58328643560).

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

40084088440 is a wasteful number, since it uses less digits than its factorization.

40084088440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22720 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40084088440 in words is "forty billion, eighty-four million, eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5209 10418 17489 20836 26045 34978 41672 52090 57299 69956 87445 104180 114598 139912 174890 192379 208360 229196 286495 349780 384758 458392 572990 699560 769516 961895 1145980 1539032 1923790 2291960 3847580 7695160 91100201 182200402 364400804 455501005 728801608 911002010 1002102211 1822004020 2004204422 3644008040 4008408844 5010511055 8016817688 10021022110 20042044220 40084088440