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1010444001420 = 2235713717560723
BaseRepresentation
bin11101011010000110010…
…01111110000010001100
310120121010120122200001110
432231003021332002030
5113023342131021140
62052105213412020
7133000513204530
oct16550311760214
93517116580043
101010444001420
1135a588329827
121439b779a010
1374390c62539
1436c97545bc0
151b43d5ca380
hexeb4327e08c

1010444001420 has 96 divisors (see below), whose sum is σ = 3257022601728. Its totient is φ = 229272786432.

The previous prime is 1010444001419. The next prime is 1010444001449. The reversal of 1010444001420 is 241004440101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8722822 + ... + 8837901.

It is an arithmetic number, because the mean of its divisors is an integer number (33927318768).

Almost surely, 21010444001420 is an apocalyptic number.

1010444001420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010444001420 is an abundant number, since it is smaller than the sum of its proper divisors (2246578600308).

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

1010444001420 is a wasteful number, since it uses less digits than its factorization.

1010444001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17560879 (or 17560877 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1010444001420 its reverse (241004440101), we get a palindrome (1251448441521).

The spelling of 1010444001420 in words is "one trillion, ten billion, four hundred forty-four million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9590 11508 14385 19180 28770 57540 17560723 35121446 52682169 70242892 87803615 105364338 122925061 175607230 210728676 245850122 263410845 351214460 368775183 491700244 526821690 614625305 737550366 1053643380 1229250610 1475100732 1843875915 2405819051 2458501220 3687751830 4811638102 7217457153 7375503660 9623276204 12029095255 14434914306 16840733357 24058190510 28869828612 33681466714 36087285765 48116381020 50522200071 67362933428 72174571530 84203666785 101044400142 144349143060 168407333570 202088800284 252611000355 336814667140 505222000710 1010444001420