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1053341041040 = 2451943149108161
BaseRepresentation
bin11110101010000000000…
…01001100000110010000
310201200212011000001210122
433111000001030012100
5114224220301303130
62123522002045412
7136046526056141
oct17250001140620
93650764001718
101053341041040
113767a0614592
12150189949868
137843928a212
1438da6797ac8
151c5ee5b92e5
hexf54004c190

1053341041040 has 160 divisors (see below), whose sum is σ = 2655593424000. Its totient is φ = 387257794560.

The previous prime is 1053341041033. The next prime is 1053341041043. The reversal of 1053341041040 is 401401433501.

It is a happy number.

It is a super-2 number, since 2×10533410410402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053341041043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9684560 + ... + 9792720.

It is an arithmetic number, because the mean of its divisors is an integer number (16597458900).

Almost surely, 21053341041040 is an apocalyptic number.

1053341041040 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 1053341041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327796712000).

1053341041040 is an abundant number, since it is smaller than the sum of its proper divisors (1602252382960).

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

1053341041040 is a wasteful number, since it uses less digits than its factorization.

1053341041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108385 (or 108379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1053341041040 its reverse (401401433501), we get a palindrome (1454742474541).

The spelling of 1053341041040 in words is "one trillion, fifty-three billion, three hundred forty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 149 152 172 190 215 298 304 344 380 430 596 688 745 760 817 860 1192 1490 1520 1634 1720 2384 2831 2980 3268 3440 4085 5662 5960 6407 6536 8170 11324 11920 12814 13072 14155 16340 22648 25628 28310 32035 32680 45296 51256 56620 64070 65360 102512 108161 113240 121733 128140 216322 226480 243466 256280 432644 486932 512560 540805 608665 865288 973864 1081610 1217330 1730576 1947728 2055059 2163220 2434660 4110118 4326440 4650923 4869320 8220236 8652880 9301846 9738640 10275295 16115989 16440472 18603692 20550590 23254615 32231978 32880944 37207384 41101180 46509230 64463956 74414768 80579945 82202360 88367537 93018460 128927912 161159890 164404720 176735074 186036920 257855824 306203791 322319780 353470148 372073840 441837685 612407582 644639560 692987527 706940296 883675370 1224815164 1289279120 1385975054 1413880592 1531018955 1767350740 2449630328 2771950108 3062037910 3464937635 3534701480 4899260656 5543900216 6124075820 6929875270 7069402960 11087800432 12248151640 13166763013 13859750540 24496303280 26333526026 27719501080 52667052052 55439002160 65833815065 105334104104 131667630130 210668208208 263335260260 526670520520 1053341041040