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142071701776 = 241722322412
BaseRepresentation
bin1000010001010000100…
…0100010000100010000
3111120201012222020022121
42010110020202010100
54311430323424101
6145133345344024
713156445353114
oct2042410420420
9446635866277
10142071701776
1155285854374
122364b638014
1310521b52634
146c3a82d744
153a67a490a1
hex2114222110

142071701776 has 135 divisors (see below), whose sum is σ = 306948175023. Its totient is φ = 63685079040.

The previous prime is 142071701773. The next prime is 142071701789. The reversal of 142071701776 is 677107170241.

The square root of 142071701776 is 376924.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40040010000 + 102031691776 = 200100^2 + 319424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142071701773) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 589509016 + ... + 589509256.

Almost surely, 2142071701776 is an apocalyptic number.

142071701776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142071701776 is the 376924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142071701776

142071701776 is an abundant number, since it is smaller than the sum of its proper divisors (164876473247).

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

142071701776 is an equidigital number, since it uses as much as digits as its factorization.

142071701776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 43.

The spelling of 142071701776 in words is "one hundred forty-two billion, seventy-one million, seven hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 241 272 289 368 391 482 529 578 782 964 1058 1156 1564 1928 2116 2312 3128 3856 4097 4232 4624 5543 6256 6647 8194 8464 8993 11086 13294 16388 17986 22172 26588 32776 35972 44344 53176 58081 65552 69649 71944 88688 94231 106352 116162 127489 139298 143888 152881 188462 232324 254978 278596 305762 376924 464648 509956 557192 611524 753848 929296 987377 1019912 1114384 1223048 1335863 1507696 1601927 1974754 2039824 2167313 2446096 2671726 3203854 3949508 4334626 5343452 6407708 7899016 8669252 10686904 12815416 15798032 16785409 17338504 21373808 22709671 25630832 30724849 33570818 34677008 36844321 45419342 61449698 67141636 73688642 90838684 122899396 134283272 147377284 181677368 245798792 268566544 294754568 363354736 386064407 491597584 522322433 589509136 772128814 1044644866 1544257628 2089289732 3088515256 4178579464 6177030512 8357158928 8879481361 17758962722 35517925444 71035850888 142071701776