Search a number
-
+
1031993898240 = 2835333180681
BaseRepresentation
bin11110000010001111010…
…00010011010100000000
310122122202102120212001010
433001013220103110000
5113402010414220430
62110031430440520
7134362525254204
oct17010750232400
93578672525033
101031993898240
11368736719208
12148010803140
137641677c886
1437d3d5dcb04
151bca0449cb0
hexf047a13500

1031993898240 has 144 divisors (see below), whose sum is σ = 3296960847936. Its totient is φ = 275112345600.

The previous prime is 1031993898211. The next prime is 1031993898323. The reversal of 1031993898240 is 428983991301.

It is a super-2 number, since 2×10319938982402 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12750700 + ... + 12831380.

It is an arithmetic number, because the mean of its divisors is an integer number (22895561444).

Almost surely, 21031993898240 is an apocalyptic number.

1031993898240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031993898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648480423968).

1031993898240 is an abundant number, since it is smaller than the sum of its proper divisors (2264966949696).

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

1031993898240 is an equidigital number, since it uses as much as digits as its factorization.

1031993898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84036 (or 84022 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 1031993898240 in words is "one trillion, thirty-one billion, nine hundred ninety-three million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3331 3840 6662 9993 13324 16655 19986 26648 33310 39972 49965 53296 66620 79944 80681 99930 106592 133240 159888 161362 199860 213184 242043 266480 319776 322724 399720 403405 426368 484086 532960 639552 645448 799440 806810 852736 968172 1065920 1210215 1279104 1290896 1598880 1613620 1936344 2131840 2420430 2558208 2581792 3197760 3227240 3872688 4263680 4840860 5163584 6395520 6454480 7745376 9681720 10327168 12791040 12908960 15490752 19363440 20654336 25817920 30981504 38726880 51635840 61963008 77453760 103271680 154907520 268748411 309815040 537496822 806245233 1074993644 1343742055 1612490466 2149987288 2687484110 3224980932 4031226165 4299974576 5374968220 6449961864 8062452330 8599949152 10749936440 12899923728 16124904660 17199898304 21499872880 25799847456 32249809320 34399796608 42999745760 51599694912 64499618640 68799593216 85999491520 103199389824 128999237280 171998983040 206398779648 257998474560 343997966080 515996949120 1031993898240