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1406212126344 = 233219530723977
BaseRepresentation
bin10100011101101000110…
…001100011011010001000
311222102200100012111210100
4110131220301203122020
5141014410301020334
62554001022045400
7203411150566404
oct24355061433210
94872610174710
101406212126344
114a240a0a3803
121a8649719860
13a27b391458c
144c0bd676104
15268a36e9c99
hex14768c63688

1406212126344 has 24 divisors (see below), whose sum is σ = 3808491175710. Its totient is φ = 468737375424.

The previous prime is 1406212126331. The next prime is 1406212126351. The reversal of 1406212126344 is 4436212126041.

1406212126344 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 2 + 1 + 2 + 12 + 634 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 764466938244 + 641745188100 = 874338^2 + 801090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1406212126299 and 1406212126308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9765361917 + ... + 9765362060.

Almost surely, 21406212126344 is an apocalyptic number.

It is an amenable number.

1406212126344 is an abundant number, since it is smaller than the sum of its proper divisors (2402279049366).

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

1406212126344 is a wasteful number, since it uses less digits than its factorization.

1406212126344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19530723989 (or 19530723982 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1406212126344 in words is "one trillion, four hundred six billion, two hundred twelve million, one hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19530723977 39061447954 58592171931 78122895908 117184343862 156245791816 175776515793 234368687724 351553031586 468737375448 703106063172 1406212126344