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4041134431320 = 2335718859255097
BaseRepresentation
bin111010110011100110011…
…000011101110001011000
3112022022212121101022122110
4322303212120131301120
51012202220403300240
612332245503352320
7564651035622630
oct72634630356130
915268777338573
104041134431320
111318921041758
125532478b26a0
13234100bc591c
14dd84044d6c0
15701bc379c80
hex3ace661dc58

4041134431320 has 128 divisors (see below), whose sum is σ = 13856107046400. Its totient is φ = 923635270656.

The previous prime is 4041134431289. The next prime is 4041134431333. The reversal of 4041134431320 is 231344311404.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15714012 + ... + 15969108.

It is an arithmetic number, because the mean of its divisors is an integer number (108250836300).

Almost surely, 24041134431320 is an apocalyptic number.

4041134431320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4041134431320 is an abundant number, since it is smaller than the sum of its proper divisors (9814972615080).

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

4041134431320 is a wasteful number, since it uses less digits than its factorization.

4041134431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273977 (or 273973 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4041134431320 its reverse (231344311404), we get a palindrome (4272478742724).

The spelling of 4041134431320 in words is "four trillion, forty-one billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 18859 37718 56577 75436 94295 113154 132013 150872 188590 226308 255097 264026 282885 377180 396039 452616 510194 528052 565770 660065 754360 765291 792078 1020388 1056104 1131540 1275485 1320130 1530582 1584156 1785679 1980195 2040776 2263080 2550970 2640260 3061164 3168312 3571358 3826455 3960390 5101940 5280520 5357037 6122328 7142716 7652910 7920780 8928395 10203880 10714074 14285432 15305820 15841560 17856790 21428148 26785185 30611640 35713580 42856296 53570370 71427160 107140740 214281480 4810874323 9621748646 14432622969 19243497292 24054371615 28865245938 33676120261 38486994584 48108743230 57730491876 67352240522 72163114845 96217486460 101028360783 115460983752 134704481044 144326229690 168380601305 192434972920 202056721566 269408962088 288652459380 336761202610 404113443132 505141803915 577304918760 673522405220 808226886264 1010283607830 1347044810440 2020567215660 4041134431320