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1356062344104 = 23313311283109279
BaseRepresentation
bin10011101110111011100…
…111010100001110101000
311210122020022112121120010
4103232323213110032220
5134204203430002404
62514544430131520
7166654326511626
oct23567347241650
94718208477503
101356062344104
11483114928086
1219a992650ba0
139ab50b20b10
14498c30b6516
152541ab1a189
hex13bbb9d43a8

1356062344104 has 128 divisors (see below), whose sum is σ = 3771681177600. Its totient is φ = 403471860480.

The previous prime is 1356062344097. The next prime is 1356062344139. The reversal of 1356062344104 is 4014432606531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12354537 + ... + 12463815.

It is an arithmetic number, because the mean of its divisors is an integer number (29466259200).

Almost surely, 21356062344104 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 1356062344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885840588800).

1356062344104 is an abundant number, since it is smaller than the sum of its proper divisors (2415618833496).

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

1356062344104 is a wasteful number, since it uses less digits than its factorization.

1356062344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110615 (or 110611 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1356062344104 in words is "one trillion, three hundred fifty-six billion, sixty-two million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1283 1612 2418 2566 3224 3849 4836 5132 7698 9672 10264 15396 16679 30792 33358 39773 50037 66716 79546 100074 109279 119319 133432 159092 200148 218558 238638 318184 327837 400296 437116 477276 517049 655674 874232 954552 1034098 1311348 1420627 1551147 2068196 2622696 2841254 3102294 3387649 4136392 4261881 5682508 6204588 6775298 8523762 10162947 11365016 12409176 13550596 17047524 20325894 27101192 34095048 40651788 44039437 81303576 88078874 132118311 140204957 176157748 264236622 280409914 352315496 420614871 528473244 560819828 841229742 1056946488 1121639656 1682459484 1822664441 3364918968 3645328882 4346353667 5467993323 7290657764 8692707334 10935986646 13039061001 14581315528 17385414668 21871973292 26078122002 34770829336 43743946584 52156244004 56502597671 104312488008 113005195342 169507793013 226010390684 339015586026 452020781368 678031172052 1356062344104