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1353420531750 = 235372571003091
BaseRepresentation
bin10011101100011110001…
…001100110100000100110
311210101102012111122022010
4103230132021212200212
5134133301124004000
62513430335015050
7166532010464040
oct23543611464046
94711365448263
101353420531750
11481a89674391
1219a37596a486
139a81c6cb441
14497122aca90
1525313c2ad50
hex13b1e266826

1353420531750 has 128 divisors (see below), whose sum is σ = 3875754894336. Its totient is φ = 308149248000.

The previous prime is 1353420531731. The next prime is 1353420531751. The reversal of 1353420531750 is 571350243531.

It is a junction number, because it is equal to n+sod(n) for n = 1353420531699 and 1353420531708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353420531751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847705 + ... + 1850795.

It is an arithmetic number, because the mean of its divisors is an integer number (30279335112).

Almost surely, 21353420531750 is an apocalyptic number.

1353420531750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353420531750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937877447168).

1353420531750 is an abundant number, since it is smaller than the sum of its proper divisors (2522334362586).

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

1353420531750 is a wasteful number, since it uses less digits than its factorization.

1353420531750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003375 (or 1003365 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 1353420531750 in words is "one trillion, three hundred fifty-three billion, four hundred twenty million, five hundred thirty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 257 350 375 514 525 750 771 875 1050 1285 1542 1750 1799 2570 2625 3598 3855 5250 5397 6425 7710 8995 10794 12850 17990 19275 26985 32125 38550 44975 53970 64250 89950 96375 134925 192750 224875 269850 449750 674625 1003091 1349250 2006182 3009273 5015455 6018546 7021637 10030910 14043274 15046365 21064911 25077275 30092730 35108185 42129822 50154550 70216370 75231825 105324555 125386375 150463650 175540925 210649110 250772750 257794387 351081850 376159125 515588774 526622775 752318250 773383161 877704625 1053245550 1288971935 1546766322 1755409250 1804560709 2577943870 2633113875 3609121418 3866915805 5266227750 5413682127 6444859675 7733831610 9022803545 10827364254 12889719350 18045607090 19334579025 27068410635 32224298375 38669158050 45114017725 54136821270 64448596750 90228035450 96672895125 135342053175 193345790250 225570088625 270684106350 451140177250 676710265875 1353420531750