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1400413311 = 321114145589
BaseRepresentation
bin101001101111000…
…1001110001111111
310121121010100220200
41103132021301333
510332001211221
6350543414543
746463213433
oct12336116177
93547110820
101400413311
11659551280
12330bb4453
1319419493b
14d3dbc9c3
1582e27426
hex53789c7f

1400413311 has 12 divisors (see below), whose sum is σ = 2206712040. Its totient is φ = 848735280.

The previous prime is 1400413307. The next prime is 1400413319. The reversal of 1400413311 is 1133140041.

It is not a de Polignac number, because 1400413311 - 22 = 1400413307 is a prime.

It is a super-2 number, since 2×14004133112 = 3922314883251965442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7072696 + ... + 7072893.

It is an arithmetic number, because the mean of its divisors is an integer number (183892670).

Almost surely, 21400413311 is an apocalyptic number.

1400413311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1400413311 is a deficient number, since it is larger than the sum of its proper divisors (806298729).

1400413311 is a wasteful number, since it uses less digits than its factorization.

1400413311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14145606 (or 14145603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1400413311 is about 37422.0965607220. The cubic root of 1400413311 is about 1118.7990184987.

Adding to 1400413311 its reverse (1133140041), we get a palindrome (2533553352).

The spelling of 1400413311 in words is "one billion, four hundred million, four hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 14145589 42436767 127310301 155601479 466804437 1400413311