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1400122214304 = 2531143972411319
BaseRepresentation
bin10100010111111101110…
…010011000011110100000
311221211221220221220222120
4110113331302120132200
5140414422241324204
62551112434104240
7203104222312662
oct24277562303640
94854856856876
101400122214304
1149a874541750
121a742a11b080
13a2053027928
144baa2940532
1526648c516d9
hex145fdc987a0

1400122214304 has 384 divisors, whose sum is σ = 4165334046720. Its totient is φ = 408128716800.

The previous prime is 1400122214251. The next prime is 1400122214311. The reversal of 1400122214304 is 4034122210041.

It is a super-2 number, since 2×14001222143042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061502157 + ... + 1061503475.

It is an arithmetic number, because the mean of its divisors is an integer number (10847224080).

Almost surely, 21400122214304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400122214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082667023360).

1400122214304 is an abundant number, since it is smaller than the sum of its proper divisors (2765211832416).

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

1400122214304 is a wasteful number, since it uses less digits than its factorization.

1400122214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1400122214304 its reverse (4034122210041), we get a palindrome (5434244424345).

The spelling of 1400122214304 in words is "one trillion, four hundred billion, one hundred twenty-two million, two hundred fourteen thousand, three hundred four".