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1406116636122 = 2311593471040629
BaseRepresentation
bin10100011101100011000…
…101010010010111011010
311222102102200112002211110
4110131203011102113122
5141014211324323442
62553543331241150
7203405611126302
oct24354305222732
94872380462743
101406116636122
114a2370202570
121a86217491b6
13a2799bbc6a3
144c0b0ada602
152689a13669c
hex147631525da

1406116636122 has 64 divisors (see below), whose sum is σ = 3128883033600. Its totient is φ = 417666454080.

The previous prime is 1406116636121. The next prime is 1406116636123. The reversal of 1406116636122 is 2216366116041.

It is an interprime number because it is at equal distance from previous prime (1406116636121) and next prime (1406116636123).

It is not an unprimeable number, because it can be changed into a prime (1406116636121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830904 + ... + 1871532.

It is an arithmetic number, because the mean of its divisors is an integer number (48888797400).

Almost surely, 21406116636122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406116636122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564441516800).

1406116636122 is an abundant number, since it is smaller than the sum of its proper divisors (1722766397478).

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

1406116636122 is a wasteful number, since it uses less digits than its factorization.

1406116636122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041051.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 1406116636122 in words is "one trillion, four hundred six billion, one hundred sixteen million, six hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 347 354 649 694 1041 1298 1947 2082 3817 3894 7634 11451 20473 22902 40946 61419 122838 225203 450406 675609 1040629 1351218 2081258 3121887 6243774 11446919 22893838 34340757 61397111 68681514 122794222 184191333 361098263 368382666 675368221 722196526 1083294789 1350736442 2026104663 2166589578 3972080893 4052209326 7944161786 11916242679 21304797517 23832485358 42609595034 63914392551 127828785102 234352772687 468705545374 703058318061 1406116636122