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40211133450 = 235223110310567
BaseRepresentation
bin100101011100110001…
…010011010000001010
310211210101100020010220
4211130301103100022
51124323022232300
630250040050510
72622316665135
oct453461232012
9124711306126
1040211133450
11160651557a4
127962763a36
133a3aa372b7
141d3664b21c
1510a52deda0
hex95cc5340a

40211133450 has 96 divisors (see below), whose sum is σ = 104163618816. Its totient is φ = 10246484160.

The previous prime is 40211133409. The next prime is 40211133511. The reversal of 40211133450 is 5433111204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40211133450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3800067 + ... + 3810633.

It is an arithmetic number, because the mean of its divisors is an integer number (1085037696).

Almost surely, 240211133450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40211133450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52081809408).

40211133450 is an abundant number, since it is smaller than the sum of its proper divisors (63952485366).

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

40211133450 is a wasteful number, since it uses less digits than its factorization.

40211133450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 40211133450 its reverse (5433111204), we get a palindrome (45644244654).

The spelling of 40211133450 in words is "forty billion, two hundred eleven million, one hundred thirty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1103 1150 1725 2206 3309 3450 5515 6618 10567 11030 16545 21134 25369 27575 31701 33090 50738 52835 55150 63402 76107 82725 105670 126845 152214 158505 165450 243041 253690 264175 317010 380535 486082 528350 634225 729123 761070 792525 1215205 1268450 1458246 1585050 1902675 2430410 3645615 3805350 6076025 7291230 11655401 12152050 18228075 23310802 34966203 36456150 58277005 69932406 116554010 174831015 268074223 291385025 349662030 536148446 582770050 804222669 874155075 1340371115 1608445338 1748310150 2680742230 4021113345 6701855575 8042226690 13403711150 20105566725 40211133450