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344242143410420 = 2258310317911247751
BaseRepresentation
bin100111001000101100001111…
…0101011001011100011110100
31200010212020010212010001102202
41032101120132223023203310
5330110030402203113140
63220050354004124032
7132336450136552553
oct11621303653134364
91603766125101382
10344242143410420
119a760300643372
1232738525396618
1311a10b82c464c8
1461015a1449d9a
1529be7dc731915
hex139161eacb8f4

344242143410420 has 96 divisors (see below), whose sum is σ = 742848332728320. Its totient is φ = 133964481744000.

The previous prime is 344242143410383. The next prime is 344242143410449. The reversal of 344242143410420 is 24014341242443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24981545 + ... + 36229295.

It is an arithmetic number, because the mean of its divisors is an integer number (7738003465920).

Almost surely, 2344242143410420 is an apocalyptic number.

It is an amenable number.

344242143410420 is an abundant number, since it is smaller than the sum of its proper divisors (398606189317900).

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

344242143410420 is a wasteful number, since it uses less digits than its factorization.

344242143410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248125 (or 11248123 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 344242143410420 its reverse (24014341242443), we get a palindrome (368256484652863).

The spelling of 344242143410420 in words is "three hundred forty-four trillion, two hundred forty-two billion, one hundred forty-three million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 83 103 166 179 206 332 358 412 415 515 716 830 895 1030 1660 1790 2060 3580 8549 14857 17098 18437 29714 34196 36874 42745 59428 73748 74285 85490 92185 148570 170980 184370 297140 368740 1530271 3060542 6121084 7651355 11247751 15302710 22495502 30605420 44991004 56238755 112477510 224955020 933563333 1158518353 1867126666 2013347429 2317036706 3734253332 4026694858 4634073412 4667816665 5792591765 8053389716 9335633330 10066737145 11585183530 18671266660 20133474290 23170367060 40266948580 96157023299 167107836607 192314046598 207374785187 334215673214 384628093196 414749570374 480785116495 668431346428 829499140748 835539183035 961570232990 1036873925935 1671078366070 1923140465980 2073747851870 3342156732140 4147495703740 17212107170521 34424214341042 68848428682084 86060535852605 172121071705210 344242143410420