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142743707347241 = 711213101478726813
BaseRepresentation
bin100000011101001100011011…
…111110000110100100101001
3200201102011110101200002010202
4200131030123332012210221
5122202203103040102431
61223331315345321545
742031615064656040
oct4035143376064451
9621364411602122
10142743707347241
11415342a2527600
121401482a9362b5
13618589b58b140
142736b91b83557
1511781587718cb
hex81d31bf86929

142743707347241 has 96 divisors (see below), whose sum is σ = 195067798297344. Its totient is φ = 101631207744000.

The previous prime is 142743707347229. The next prime is 142743707347271.

142743707347241 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-142743707347241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142743707347271) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5323661951 + ... + 5323688763.

It is an arithmetic number, because the mean of its divisors is an integer number (2031956232264).

Almost surely, 2142743707347241 is an apocalyptic number.

142743707347241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142743707347241 is a deficient number, since it is larger than the sum of its proper divisors (52324090950103).

142743707347241 is a wasteful number, since it uses less digits than its factorization.

142743707347241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 56.

The spelling of 142743707347241 in words is "one hundred forty-two trillion, seven hundred forty-three billion, seven hundred seven million, three hundred forty-seven thousand, two hundred forty-one".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 4787 7777 9191 11011 12221 14443 26813 33509 52657 62231 85547 101101 158873 187691 294943 348569 368599 435617 483487 579227 684541 1112111 2064601 2439983 2708113 3244373 3384409 3834259 4054589 4791787 5318357 6285331 7529951 18956791 22710611 26839813 29789243 35205469 37228499 42176849 43997317 52709657 58501927 69138641 128353831 208524701 246438283 295237943 327681673 387260159 409513489 483970487 760525051 898476817 1411892141 1668599803 2293771711 2710821113 4259861749 5323675357 9883244987 11680198621 12963736931 15530813551 18354597833 29819032243 90746158517 108715694857 128482184831 142601106241 168528580103 201900576163 998207743687 1179700060721 1413304033141 1568612168651 1853814381133 10980285180557 12976700667931 20391958192463 142743707347241