Search a number
-
+
40360472928 = 2532937149563
BaseRepresentation
bin100101100101101010…
…111111000101100000
310212011210100110101200
4211211222333011200
51130124240113203
630312533001200
72626112234166
oct454552770540
9125153313350
1040360472928
1116131486756
1279a4783200
133a62964659
141d4c403236
1510b348d9a3
hex965abf160

40360472928 has 72 divisors (see below), whose sum is σ = 114898355208. Its totient is φ = 13439043072.

The previous prime is 40360472899. The next prime is 40360472969. The reversal of 40360472928 is 82927406304.

40360472928 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195075 + ... + 344637.

It is an arithmetic number, because the mean of its divisors is an integer number (1595810489).

Almost surely, 240360472928 is an apocalyptic number.

40360472928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40360472928 is an abundant number, since it is smaller than the sum of its proper divisors (74537882280).

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

40360472928 is a wasteful number, since it uses less digits than its factorization.

40360472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150516 (or 150505 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40360472928 in words is "forty billion, three hundred sixty million, four hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 29984 33732 44976 67464 89952 134928 149563 269856 299126 448689 598252 897378 1196504 1346067 1794756 2393008 2692134 3589512 4786016 5384268 7179024 10768536 14358048 21537072 43074144 140140531 280281062 420421593 560562124 840843186 1121124248 1261264779 1681686372 2242248496 2522529558 3363372744 4484496992 5045059116 6726745488 10090118232 13453490976 20180236464 40360472928