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40761999306 = 2337367293831
BaseRepresentation
bin100101111101100110…
…101011111111001010
310220012202220010001000
4211331212223333022
51131440032434211
630420435035430
72642056164060
oct457546537712
9126182803030
1040761999306
11163180a4436
127a9713bb76
133ac7bbb922
141d89884030
1510d8854656
hex97d9abfca

40761999306 has 64 divisors (see below), whose sum is σ = 103804968960. Its totient is φ = 11614512240.

The previous prime is 40761999287. The next prime is 40761999329. The reversal of 40761999306 is 60399916704.

40761999306 is a `hidden beast` number, since 407 + 61 + 99 + 93 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8190 + ... + 285641.

It is an arithmetic number, because the mean of its divisors is an integer number (1621952640).

Almost surely, 240761999306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40761999306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51902484480).

40761999306 is an abundant number, since it is smaller than the sum of its proper divisors (63042969654).

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

40761999306 is a wasteful number, since it uses less digits than its factorization.

40761999306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294216 (or 294210 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 40761999306 in words is "forty billion, seven hundred sixty-one million, nine hundred ninety-nine thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 367 378 734 1101 2202 2569 3303 5138 6606 7707 9909 15414 19818 23121 46242 69363 138726 293831 587662 881493 1762986 2056817 2644479 4113634 5288958 6170451 7933437 12340902 15866874 18511353 37022706 55534059 107835977 111068118 215671954 323507931 647015862 754851839 970523793 1509703678 1941047586 2264555517 2911571379 4529111034 5823142758 6793666551 13587333102 20380999653 40761999306