Search a number
-
+
40486936320 = 28345390499
BaseRepresentation
bin100101101101001101…
…011001111100000000
310212111121022110120000
4211231031121330000
51130404123430240
630333251320000
72632206165135
oct455515317400
9125447273500
1040486936320
1116196902556
127a1abb0000
133a82c1246c
141d6112258c
1510be61e430
hex96d359f00

40486936320 has 180 divisors, whose sum is σ = 144870033000. Its totient is φ = 10796488704.

The previous prime is 40486936307. The next prime is 40486936331. The reversal of 40486936320 is 2363968404.

40486936320 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 6 + 9 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 91570 + ... + 298929.

Almost surely, 240486936320 is an apocalyptic number.

40486936320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40486936320 is an abundant number, since it is smaller than the sum of its proper divisors (104383096680).

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

40486936320 is an equidigital number, since it uses as much as digits as its factorization.

40486936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390532 (or 390509 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40486936320 in words is "forty billion, four hundred eighty-six million, nine hundred thirty-six thousand, three hundred twenty".