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1389114460404 = 22321131859131731
BaseRepresentation
bin10100001101101101101…
…011001000100011110100
311220210112202221002101200
4110031231223020203310
5140224401300213104
62542052251452500
7202234360044006
oct24155553104364
94823482832350
101389114460404
11496135998280
121a5277757130
13a0cba616b98
144b33aa12376
152620267eb39
hex1436dac88f4

1389114460404 has 144 divisors (see below), whose sum is σ = 3958788986880. Its totient is φ = 406887624000.

The previous prime is 1389114460381. The next prime is 1389114460417. The reversal of 1389114460404 is 4040644119831.

1389114460404 is a `hidden beast` number, since 1 + 38 + 9 + 1 + 1 + 4 + 4 + 604 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1389114460404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10479219 + ... + 10610949.

Almost surely, 21389114460404 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 1389114460404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979394493440).

1389114460404 is an abundant number, since it is smaller than the sum of its proper divisors (2569674526476).

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

1389114460404 is a wasteful number, since it uses less digits than its factorization.

1389114460404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132642 (or 132637 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 1389114460404 its sum of digits (45), we get a square (1389114460449 = 11786072).

The spelling of 1389114460404 in words is "one trillion, three hundred eighty-nine billion, one hundred fourteen million, four hundred sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 859 1023 1116 1364 1718 2046 2577 3069 3436 4092 5154 6138 7731 9449 10308 12276 15462 18898 26629 28347 30924 37796 53258 56694 79887 85041 106516 113388 131731 159774 170082 239661 263462 292919 319548 340164 395193 479322 526924 585838 790386 878757 958644 1171676 1185579 1449041 1580772 1757514 2371158 2636271 2898082 3515028 4083661 4347123 4742316 5272542 5796164 8167322 8694246 10545084 12250983 13041369 16334644 17388492 24501966 26082738 36752949 44920271 49003932 52165476 73505898 89840542 113156929 134760813 147011796 179681084 226313858 269521626 339470787 404282439 452627716 539043252 678941574 808564878 1018412361 1244726219 1357883148 1617129756 2036824722 2489452438 3507864799 3734178657 4073649444 4978904876 7015729598 7468357314 10523594397 11202535971 14031459196 14936714628 21047188794 22405071942 31570783191 38586512789 42094377588 44810143884 63141566382 77173025578 115759538367 126283132764 154346051156 231519076734 347278615101 463038153468 694557230202 1389114460404