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313442100411440 = 245711133914112143
BaseRepresentation
bin100011101000100101110110…
…1000011010111110000110000
31112002210202211220100222110012
41013101023231003113300300
5312040413410201131230
63030345151342554052
7123010305305653010
oct10721135503276060
91462722756328405
10313442100411440
1190966059299880
122b1a3219298928
13105b8603984010
145758970143c40
1526385359c0395
hex11d12ed0d7c30

313442100411440 has 160 divisors (see below), whose sum is σ = 978465410205696. Its totient is φ = 90181143751680.

The previous prime is 313442100411409. The next prime is 313442100411443. The reversal of 313442100411440 is 44114001244313.

It is a junction number, because it is equal to n+sod(n) for n = 313442100411397 and 313442100411406.

It is not an unprimeable number, because it can be changed into a prime (313442100411443) 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 31 ways as a sum of consecutive naturals, for example, 1956975992 + ... + 1957136151.

Almost surely, 2313442100411440 is an apocalyptic number.

It is an amenable number.

313442100411440 is an abundant number, since it is smaller than the sum of its proper divisors (665023309794256).

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

313442100411440 is a wasteful number, since it uses less digits than its factorization.

313442100411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914112187 (or 3914112181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 313442100411440 its reverse (44114001244313), we get a palindrome (357556101655753).

The spelling of 313442100411440 in words is "three hundred thirteen trillion, four hundred forty-two billion, one hundred million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 3914112143 7828224286 15656448572 19570560715 27398785001 31312897144 39141121430 43055233573 50883457859 54797570002 62625794288 78282242860 86110467146 101766915718 109595140004 136993925005 156564485720 172220934292 203533831436 215276167865 219190280008 254417289295 273987850010 301386635011 313128971440 344441868584 356184205013 407067662872 430552335730 438380560016 508834578590 547975700020 559718036449 602773270022 688883737168 712368410026 814135325744 861104671460 1017669157180 1095951400040 1119436072898 1205546540044 1424736820052 1506933175055 1722209342920 1780921025065 2035338314360 2191902800080 2238872145796 2411093080088 2798590182245 2849473640104 3013866350110 3444418685840 3561842050130 3918026255143 4070676628720 4477744291592 4822186160176 5597180364490 5698947280208 6027732700220 7123684100260 7836052510286 8955488583184 11194360728980 12055465400440 14247368200520 15672105020572 19590131275715 22388721457960 24110930800880 28494736401040 31344210041144 39180262551430 44777442915920 62688420082288 78360525102860 156721050205720 313442100411440