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40730308880 = 2458946112409
BaseRepresentation
bin100101111011101101…
…110011000100010000
310220010120021001221112
4211323231303010100
51131403424341010
630413343512452
72641222625132
oct457355630420
9126116231845
1040730308880
11163012199a8
127a885b8728
133ac14743b1
141d85595052
1510d5b94a05
hex97bb73110

40730308880 has 80 divisors (see below), whose sum is σ = 95977450800. Its totient is φ = 16072826880.

The previous prime is 40730308877. The next prime is 40730308907. The reversal of 40730308880 is 8880303704.

40730308880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14475939856 + 26254369024 = 120316^2 + 162032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×407303088802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276116 + ... + 3288524.

It is an arithmetic number, because the mean of its divisors is an integer number (1199718135).

Almost surely, 240730308880 is an apocalyptic number.

40730308880 is a gapful number since it is divisible by the number (40) 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 40730308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47988725400).

40730308880 is an abundant number, since it is smaller than the sum of its proper divisors (55247141920).

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

40730308880 is a wasteful number, since it uses less digits than its factorization.

40730308880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 40730308880 in words is "forty billion, seven hundred thirty million, three hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 461 712 890 922 1424 1780 1844 2305 3560 3688 4610 7120 7376 9220 12409 18440 24818 36880 41029 49636 62045 82058 99272 124090 164116 198544 205145 248180 328232 410290 496360 656464 820580 992720 1104401 1641160 2208802 3282320 4417604 5522005 5720549 8835208 11044010 11441098 17670416 22088020 22882196 28602745 44176040 45764392 57205490 88352080 91528784 114410980 228821960 457643920 509128861 1018257722 2036515444 2545644305 4073030888 5091288610 8146061776 10182577220 20365154440 40730308880