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1341222313140 = 2232519537399439
BaseRepresentation
bin10011100001000111000…
…101000101110010110100
311202012221002101221010200
4103201013011011302310
5133433310403010030
62504052104520500
7165620511362343
oct23410705056264
94665832357120
101341222313140
1147789a037186
12197b30780130
13996274843c8
1448cb6213b5a
1524d4cda3d60
hex13847145cb4

1341222313140 has 144 divisors (see below), whose sum is σ = 4363301779200. Its totient is φ = 332441950464.

The previous prime is 1341222313133. The next prime is 1341222313141. The reversal of 1341222313140 is 413132221431.

1341222313140 is a `hidden beast` number, since 1 + 3 + 412 + 2 + 231 + 3 + 14 + 0 = 666.

It is a super-2 number, since 2×13412223131402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341222313141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518460 + ... + 3880979.

It is an arithmetic number, because the mean of its divisors is an integer number (30300706800).

Almost surely, 21341222313140 is an apocalyptic number.

1341222313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341222313140 is an abundant number, since it is smaller than the sum of its proper divisors (3022079466060).

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

1341222313140 is a wasteful number, since it uses less digits than its factorization.

1341222313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399526 (or 7399521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1341222313140 its reverse (413132221431), we get a palindrome (1754354534571).

The spelling of 1341222313140 in words is "one trillion, three hundred forty-one billion, two hundred twenty-two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3180 3420 4028 4770 5035 6042 9063 9540 10070 12084 15105 18126 20140 30210 36252 45315 60420 90630 181260 7399439 14798878 22198317 29597756 36997195 44396634 66594951 73994390 88793268 110991585 133189902 140589341 147988780 221983170 266379804 281178682 332974755 392170267 421768023 443966340 562357364 665949510 702946705 784340534 843536046 1176510801 1265304069 1331899020 1405893410 1568681068 1687072092 1960851335 2108840115 2353021602 2530608138 2811786820 3529532403 3921702670 4217680230 4706043204 5061216276 5882554005 6326520345 7059064806 7451235073 7843405340 8435360460 11765108010 12653040690 14118129612 14902470146 17647662015 22353705219 23530216020 25306081380 29804940292 35295324030 37256175365 44707410438 67061115657 70590648060 74512350730 89414820876 111768526095 134122231314 149024701460 223537052190 268244462628 335305578285 447074104380 670611156570 1341222313140