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341124120431244 = 22321991373148123417
BaseRepresentation
bin100110110010000000010011…
…0000001011100101010001100
31122201211010222110210020012200
41031210000212001130222030
5324202434144312244434
63205302131342401500
7131565255464540253
oct11544004601345214
91581733873706180
10341124120431244
1199768a21994587
1232314181890290
1311845b359bc167
1460346d1a0379a
15296864b8ab199
hex136402605ca8c

341124120431244 has 144 divisors (see below), whose sum is σ = 867872897236800. Its totient is φ = 112973080872960.

The previous prime is 341124120431209. The next prime is 341124120431257. The reversal of 341124120431244 is 442134021421143.

341124120431244 is a `hidden beast` number, since 3 + 4 + 112 + 412 + 0 + 4 + 3 + 124 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 341124120431199 and 341124120431208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14567359024 + ... + 14567382440.

It is an arithmetic number, because the mean of its divisors is an integer number (6026895119700).

Almost surely, 2341124120431244 is an apocalyptic number.

It is an amenable number.

341124120431244 is an abundant number, since it is smaller than the sum of its proper divisors (526748776805556).

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

341124120431244 is a wasteful number, since it uses less digits than its factorization.

341124120431244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26480 (or 26475 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 341124120431244 its reverse (442134021421143), we get a palindrome (783258141852387).

The spelling of 341124120431244 in words is "three hundred forty-one trillion, one hundred twenty-four billion, one hundred twenty million, four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1373 1481 1791 2388 2746 2962 3582 4119 4443 5492 5924 7164 8238 8886 12357 13329 16476 17772 23417 24714 26658 46834 49428 53316 70251 93668 140502 210753 273227 281004 294719 421506 546454 589438 819681 843012 884157 1092908 1178876 1639362 1768314 2033413 2459043 2652471 3278724 3536628 4066826 4659983 4918086 5304942 6100239 8133652 9319966 9836172 10609884 12200478 13979949 18300717 18639932 24400956 27959898 32151541 34680577 36601434 41939847 55919796 64303082 69361154 73202868 83879694 96454623 104041731 128606164 138722308 167759388 192909246 208083462 289363869 312125193 385818492 404649187 416166924 578727738 624250386 809298374 1157455476 1213947561 1248500772 1618596748 2427895122 3641842683 4855790244 6398156659 6901434823 7283685366 12796313318 13802869646 14567370732 19194469977 20704304469 25592626636 27605739292 38388939954 41408608938 47616432221 57583409931 62112913407 76777879908 82817217876 95232864442 115166819862 124225826814 142849296663 190465728884 230333639724 248451653628 285698593326 428547889989 571397186652 857095779978 1714191559956 9475670011979 18951340023958 28427010035937 37902680047916 56854020071874 85281030107811 113708040143748 170562060215622 341124120431244