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1041443040 = 253511197243
BaseRepresentation
bin111110000100110…
…010100011100000
32200120122210021110
4332010302203200
54113102134130
6251201423320
734544056041
oct7604624340
92616583243
101041443040
1149495a630
1225093ab40
131379ba7b1
149c4588c8
156166aab0
hex3e1328e0

1041443040 has 96 divisors (see below), whose sum is σ = 3578795136. Its totient is φ = 252469760.

The previous prime is 1041443003. The next prime is 1041443063. The reversal of 1041443040 is 403441401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1041442998 and 1041443016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93342 + ... + 103901.

It is an arithmetic number, because the mean of its divisors is an integer number (37279116).

Almost surely, 21041443040 is an apocalyptic number.

1041443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041443040 is an abundant number, since it is smaller than the sum of its proper divisors (2537352096).

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

1041443040 is a wasteful number, since it uses less digits than its factorization.

1041443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197272 (or 197264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1041443040 is about 32271.3966230159. The cubic root of 1041443040 is about 1013.6277864674.

Adding to 1041443040 its reverse (403441401), we get a palindrome (1444884441).

The spelling of 1041443040 in words is "one billion, forty-one million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 197243 394486 591729 788972 986215 1183458 1577944 1972430 2169673 2366916 2958645 3155888 3944860 4339346 4733832 5917290 6311776 6509019 7889720 8678692 9467664 10848365 11834580 13018038 15779440 17357384 18935328 21696730 23669160 26036076 31558880 32545095 34714768 43393460 47338320 52072152 65090190 69429536 86786920 94676640 104144304 130180380 173573840 208288608 260360760 347147680 520721520 1041443040