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40357123248 = 243131273131627
BaseRepresentation
bin100101100101011110…
…001101010010110000
310212011120001021111110
4211211132031102300
51130122410420443
630312333113320
72626041613311
oct454536152260
9125146037443
1040357123248
111612a5a9022
1279a3628840
133a62060ab0
141d4bbb0608
1510b302b233
hex96578d4b0

40357123248 has 160 divisors (see below), whose sum is σ = 113590951936. Its totient is φ = 12272891904.

The previous prime is 40357123193. The next prime is 40357123253. The reversal of 40357123248 is 84232175304.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24803811 + ... + 24805437.

Almost surely, 240357123248 is an apocalyptic number.

40357123248 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 40357123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56795475968).

40357123248 is an abundant number, since it is smaller than the sum of its proper divisors (73233828688).

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

40357123248 is a wasteful number, since it uses less digits than its factorization.

40357123248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 40357123248 in words is "forty billion, three hundred fifty-seven million, one hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 313 381 508 624 626 762 939 1016 1252 1524 1627 1651 1878 2032 2504 3048 3254 3302 3756 4069 4881 4953 5008 6096 6508 6604 7512 8138 9762 9906 12207 13016 13208 15024 16276 19524 19812 21151 24414 26032 26416 32552 39048 39624 39751 42302 48828 63453 65104 78096 79248 79502 84604 97656 119253 126906 159004 169208 195312 206629 238506 253812 318008 338416 413258 477012 507624 509251 516763 619887 636016 826516 954024 1015248 1018502 1033526 1239774 1527753 1550289 1653032 1908048 2037004 2067052 2479548 2686177 3055506 3100578 3306064 4074008 4134104 4959096 5372354 6111012 6201156 6620263 8058531 8148016 8268208 9918192 10744708 12222024 12402312 13240526 16117062 19860789 21489416 24444048 24804624 26481052 32234124 39721578 42978832 52962104 64468248 64674877 79443156 105924208 128936496 129349754 158886312 194024631 258699508 317772624 388049262 517399016 776098524 840773401 1034798032 1552197048 1681546802 2522320203 3104394096 3363093604 5044640406 6726187208 10089280812 13452374416 20178561624 40357123248