Search a number
-
+
40213111131204 = 22311347877938851
BaseRepresentation
bin10010010010010110110000…
…01101000100110001000100
312021101100001212010011121220
421021023120031010301010
520232322422422144304
6221305352003240340
711320205244551034
oct1111133015046104
9167340055104556
1040213111131204
11118a43149751a0
1246156a16790b0
131959106cc882b
149d04799b38c4
1549b07e245ad9
hex2492d8344c44

40213111131204 has 48 divisors (see below), whose sum is σ = 102655634086656. Its totient is φ = 12150673684000.

The previous prime is 40213111131143. The next prime is 40213111131209.

40213111131204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40213111131209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 438923622 + ... + 439015229.

It is an arithmetic number, because the mean of its divisors is an integer number (2138659043472).

Almost surely, 240213111131204 is an apocalyptic number.

40213111131204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40213111131204 is an abundant number, since it is smaller than the sum of its proper divisors (62442522955452).

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

40213111131204 is a wasteful number, since it uses less digits than its factorization.

40213111131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877939216 (or 877939214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 4021311 and 1131204, that added together give a palindrome (5152515).

The spelling of 40213111131204 in words is "forty trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 347 694 1041 1388 2082 3817 4164 7634 11451 15268 22902 45804 877938851 1755877702 2633816553 3511755404 5267633106 9657327361 10535266212 19314654722 28971982083 38629309444 57943964166 115887928332 304644781297 609289562594 913934343891 1218579125188 1827868687782 3351092594267 3655737375564 6702185188534 10053277782801 13404370377068 20106555565602 40213111131204