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1043070144 = 26329316043
BaseRepresentation
bin111110001010111…
…111110011000000
32200200201110020120
4332022333303000
54114011221034
6251300340240
734563643554
oct7612776300
92620643216
101043070144
11495871046
122513a4680
1313813a28c
149c75d864
156188cc49
hex3e2bfcc0

1043070144 has 112 divisors (see below), whose sum is σ = 2947537920. Its totient is φ = 324817920.

The previous prime is 1043070131. The next prime is 1043070167. The reversal of 1043070144 is 4410703401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169587 + ... + 175629.

Almost surely, 21043070144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473768960).

1043070144 is an abundant number, since it is smaller than the sum of its proper divisors (1904467776).

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

1043070144 is a wasteful number, since it uses less digits than its factorization.

1043070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1043070144 is about 32296.5964770283. The cubic root of 1043070144 is about 1014.1553940235.

Adding to 1043070144 its reverse (4410703401), we get a palindrome (5453773545).

The spelling of 1043070144 in words is "one billion, forty-three million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 6043 7192 10788 12086 14384 18129 21576 24172 28768 36258 43152 48344 57536 72516 86304 96688 145032 172608 175247 187333 193376 290064 350494 374666 386752 525741 561999 580128 700988 749332 1051482 1123998 1160256 1401976 1498664 2102964 2247996 2803952 2997328 4205928 4495992 5432657 5607904 5994656 8411856 8991984 10865314 11215808 11989312 16297971 16823712 17983968 21730628 32595942 33647424 35967936 43461256 65191884 86922512 130383768 173845024 260767536 347690048 521535072 1043070144