Search a number
-
+
1410411312 = 24338233967
BaseRepresentation
bin101010000010001…
…0010101100110000
310122021221022121000
41110010102230300
510342031130222
6351542002000
746644204222
oct12404225460
93567838530
101410411312
1166415a992
12334416300
1319628560b
14d5462412
1583c4e9ac
hex54112b30

1410411312 has 80 divisors (see below), whose sum is σ = 4054343680. Its totient is φ = 469447488.

The previous prime is 1410411293. The next prime is 1410411337. The reversal of 1410411312 is 2131140141.

It is a super-2 number, since 2×14104113122 = 3978520138035122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353553 + ... + 357519.

It is an arithmetic number, because the mean of its divisors is an integer number (50679296).

Almost surely, 21410411312 is an apocalyptic number.

1410411312 is a gapful number since it is divisible by the number (12) 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 1410411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027171840).

1410411312 is an abundant number, since it is smaller than the sum of its proper divisors (2643932368).

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

1410411312 is a wasteful number, since it uses less digits than its factorization.

1410411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1410411312 is about 37555.4431740593. The cubic root of 1410411312 is about 1121.4551960559.

Adding to 1410411312 its reverse (2131140141), we get a palindrome (3541551453).

The spelling of 1410411312 in words is "one billion, four hundred ten million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 823 1646 2469 3292 3967 4938 6584 7407 7934 9876 11901 13168 14814 15868 19752 22221 23802 29628 31736 35703 39504 44442 47604 59256 63472 71406 88884 95208 107109 118512 142812 177768 190416 214218 285624 355536 428436 571248 856872 1713744 3264841 6529682 9794523 13059364 19589046 26118728 29383569 39178092 52237456 58767138 78356184 88150707 117534276 156712368 176301414 235068552 352602828 470137104 705205656 1410411312