Search a number
-
+
40772330662788 = 2234125840526737
BaseRepresentation
bin10010100010101000011000…
…10010010010101110000100
312100100210111211022210020000
421101110030102102232010
520321003213122202123
6222414314454441300
711405463235260114
oct1121241422225604
9170323454283200
1040772330662788
1111a9a4a27aa22a
1246a5b4b063230
131999a77c9ba4a
14a0d569b67044
154aa8add11b43
hex25150c492b84

40772330662788 has 30 divisors (see below), whose sum is σ = 106586926147086. Its totient is φ = 13590776887488.

The previous prime is 40772330662771. The next prime is 40772330662801. The reversal of 40772330662788 is 88726603327704.

40772330662788 is a `hidden beast` number, since 4 + 0 + 77 + 233 + 0 + 66 + 278 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24117508477764 + 16654822185024 = 4910958^2 + 4081032^2 .

It is a super-3 number, since 3×407723306627883 (a number of 42 digits) contains 333 as substring.

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 9 ways as a sum of consecutive naturals, for example, 62920263045 + ... + 62920263692.

Almost surely, 240772330662788 is an apocalyptic number.

It is an amenable number.

40772330662788 is an abundant number, since it is smaller than the sum of its proper divisors (65814595484298).

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

40772330662788 is a wasteful number, since it uses less digits than its factorization.

40772330662788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125840526753 (or 125840526742 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 40772330662788 in words is "forty trillion, seven hundred seventy-two billion, three hundred thirty million, six hundred sixty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 125840526737 251681053474 377521580211 503362106948 755043160422 1132564740633 1510086320844 2265129481266 3397694221899 4530258962532 6795388443798 10193082665697 13590776887596 20386165331394 40772330662788