Search a number
-
+
40307766912 = 27357253499
BaseRepresentation
bin100101100010100001…
…111011011010000000
310212001010011201100000
4211202201323122000
51130022242020122
630303411200000
72624602236300
oct454241733200
9125033151300
1040307766912
1116104757966
12798aba6000
133a54a6c66a
141d45403600
1510ada2c0ac
hex96287b680

40307766912 has 576 divisors, whose sum is σ = 142849980000. Its totient is φ = 11276568576.

The previous prime is 40307766907. The next prime is 40307766937. The reversal of 40307766912 is 21966770304.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80776839 + ... + 80777337.

Almost surely, 240307766912 is an apocalyptic number.

40307766912 is a gapful number since it is divisible by the number (42) 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 40307766912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424990000).

40307766912 is an abundant number, since it is smaller than the sum of its proper divisors (102542213088).

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

40307766912 is an equidigital number, since it uses as much as digits as its factorization.

40307766912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 40307766912 in words is "forty billion, three hundred seven million, seven hundred sixty-six thousand, nine hundred twelve".