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40243600608 = 2531743956171
BaseRepresentation
bin100101011110101101…
…001001110011100000
310211212122102201201020
4211132231021303200
51124404330204413
630253200005440
72623162650441
oct453655116340
9124778381636
1040243600608
1116081510862
127971600880
133a44694233
141d3aa9d2c8
1510a80a4c23
hex95eb49ce0

40243600608 has 96 divisors (see below), whose sum is σ = 112110324480. Its totient is φ = 12596459520.

The previous prime is 40243600603. The next prime is 40243600609. The reversal of 40243600608 is 80600634204.

40243600608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243600603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688363 + ... + 744533.

It is an arithmetic number, because the mean of its divisors is an integer number (1167815880).

Almost surely, 240243600608 is an apocalyptic number.

40243600608 is a gapful number since it is divisible by the number (48) 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 40243600608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56055162240).

40243600608 is an abundant number, since it is smaller than the sum of its proper divisors (71866723872).

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

40243600608 is a wasteful number, since it uses less digits than its factorization.

40243600608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56640 (or 56632 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 40243600608 in words is "forty billion, two hundred forty-three million, six hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 439 544 816 878 1317 1632 1756 2634 3512 5268 7024 7463 10536 14048 14926 21072 22389 29852 42144 44778 56171 59704 89556 112342 119408 168513 179112 224684 238816 337026 358224 449368 674052 716448 898736 954907 1348104 1797472 1909814 2696208 2864721 3819628 5392416 5729442 7639256 11458884 15278512 22917768 24659069 30557024 45835536 49318138 73977207 91671072 98636276 147954414 197272552 295908828 394545104 419204173 591817656 789090208 838408346 1183635312 1257612519 1676816692 2367270624 2515225038 3353633384 5030450076 6707266768 10060900152 13414533536 20121800304 40243600608