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1043120144 = 241143337409
BaseRepresentation
bin111110001011001…
…100000000010000
32200200210222211102
4332023030000100
54114014321034
6251301403532
734564242413
oct7613140020
92620728742
101043120144
114958a5670
122514095a8
13138156c71
149c773b7a
156189c97e
hex3e2cc010

1043120144 has 80 divisors (see below), whose sum is σ = 2268277440. Its totient is φ = 460615680.

The previous prime is 1043120131. The next prime is 1043120201. The reversal of 1043120144 is 4410213401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550212 + ... + 2550620.

It is an arithmetic number, because the mean of its divisors is an integer number (28353468).

Almost surely, 21043120144 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 1043120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134138720).

1043120144 is an abundant number, since it is smaller than the sum of its proper divisors (1225157296).

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

1043120144 is a wasteful number, since it uses less digits than its factorization.

1043120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1043120144 is about 32297.3705431263. The cubic root of 1043120144 is about 1014.1715984177.

Adding to 1043120144 its reverse (4410213401), we get a palindrome (5453333545).

The spelling of 1043120144 in words is "one billion, forty-three million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 337 344 409 473 674 688 818 946 1348 1636 1892 2696 3272 3707 3784 4499 5392 6544 7414 7568 8998 14491 14828 17587 17996 28982 29656 35174 35992 57964 59312 70348 71984 115928 137833 140696 159401 193457 231856 275666 281392 318802 386914 551332 637604 773828 1102664 1275208 1516163 1547656 2205328 2550416 3032326 3095312 5926819 6064652 11853638 12129304 23707276 24258608 47414552 65195009 94829104 130390018 260780036 521560072 1043120144