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1398741443856 = 243267214712
BaseRepresentation
bin10100010110101011011…
…111001010010100010000
311221201101200210112000100
4110112223133022110100
5140404110302200411
62550323431252400
7203025055050111
oct24265337122420
94851350715010
101398741443856
1149a226097449
121a710381a100
13a1b92c4c9b3
144b9b13d6208
15265b7909456
hex145ab7ca510

1398741443856 has 135 divisors (see below), whose sum is σ = 3976534530423. Its totient is φ = 458976006720.

The previous prime is 1398741443821. The next prime is 1398741443867. The reversal of 1398741443856 is 6583441478931.

The square root of 1398741443856 is 1182684.

It is a perfect power (a square), and thus also a powerful number.

1398741443856 is a `hidden beast` number, since 1 + 39 + 87 + 4 + 1 + 443 + 85 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1398741443793 and 1398741443802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 950877201 + ... + 950878671.

Almost surely, 21398741443856 is an apocalyptic number.

1398741443856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1398741443856 is the 1182684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398741443856

1398741443856 is an abundant number, since it is smaller than the sum of its proper divisors (2577793086567).

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

1398741443856 is an frugal number, since it uses more digits than its factorization.

1398741443856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 1543 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 1398741443856 in words is "one trillion, three hundred ninety-eight billion, seven hundred forty-one million, four hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1471 1608 2412 2942 3216 4413 4489 4824 5884 8826 8978 9648 11768 13239 13467 17652 17956 23536 26478 26934 35304 35912 40401 52956 53868 70608 71824 80802 98557 105912 107736 161604 197114 211824 215472 295671 323208 394228 591342 646416 788456 887013 1182684 1576912 1774026 2163841 2365368 3548052 4327682 4730736 6491523 6603319 7096104 8655364 12983046 13206638 14192208 17310728 19474569 19809957 25966092 26413276 34621456 38949138 39619914 51932184 52826552 59429871 77898276 79239828 103864368 105653104 118859742 144977347 155796552 158479656 237719484 289954694 311593104 316959312 434932041 475438968 579909388 869864082 950877936 1159818776 1304796123 1739728164 2319637552 2609592246 3479456328 5219184492 6958912656 9713482249 10438368984 19426964498 20876737968 29140446747 38853928996 58280893494 77707857992 87421340241 116561786988 155415715984 174842680482 233123573976 349685360964 466247147952 699370721928 1398741443856