Search a number
-
+
40881334986 = 2334716579721
BaseRepresentation
bin100110000100101101…
…111010101011001010
310220112002102222211000
4212010231322223022
51132211110204421
630440340515430
72645035420362
oct460455725312
9126462388730
1040881334986
11163794a2068
127b0b0abb76
133b1684235b
141d9b6699a2
1510e4078226
hex984b7aaca

40881334986 has 64 divisors (see below), whose sum is σ = 92845877760. Its totient is φ = 13327752960.

The previous prime is 40881334961. The next prime is 40881335051. The reversal of 40881334986 is 68943318804.

40881334986 is a `hidden beast` number, since 40 + 8 + 81 + 33 + 498 + 6 = 666.

40881334986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4200606 + ... + 4210326.

It is an arithmetic number, because the mean of its divisors is an integer number (1450716840).

Almost surely, 240881334986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40881334986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46422938880).

40881334986 is an abundant number, since it is smaller than the sum of its proper divisors (51964542774).

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

40881334986 is a wasteful number, since it uses less digits than its factorization.

40881334986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 40881334986 in words is "forty billion, eight hundred eighty-one million, three hundred thirty-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1657 2538 3314 4971 9721 9942 14913 19442 29163 29826 44739 58326 77879 87489 89478 155758 174978 233637 262467 456887 467274 524934 700911 913774 1370661 1401822 2102733 2741322 4111983 4205466 8223966 12335949 16107697 24671898 32215394 48323091 96646182 144969273 289938546 434907819 757061759 869815638 1514123518 2271185277 4542370554 6813555831 13627111662 20440667493 40881334986