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1142045568 = 273612239
BaseRepresentation
bin100010000010010…
…0011101110000000
32221120221221000000
41010010203232000
54314330424233
6305154000000
740205140626
oct10404435600
92846857000
101142045568
11536722814
1227a576000
131527b2611
14ab965516
156a3ddd13
hex44123b80

1142045568 has 112 divisors (see below), whose sum is σ = 3411471600. Its totient is φ = 380650752.

The previous prime is 1142045551. The next prime is 1142045573. The reversal of 1142045568 is 8655402411.

It is a happy number.

1142045568 is a `hidden beast` number, since 1 + 142 + 0 + 455 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 87193 + ... + 99431.

Almost surely, 21142045568 is an apocalyptic number.

1142045568 is a gapful number since it is divisible by the number (18) 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 1142045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705735800).

1142045568 is an abundant number, since it is smaller than the sum of its proper divisors (2269426032).

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

1142045568 is an frugal number, since it uses more digits than its factorization.

1142045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1142045568 is about 33794.1647033922. The cubic root of 1142045568 is about 1045.2683751689.

Adding to 1142045568 its reverse (8655402411), we get a palindrome (9797447979).

The spelling of 1142045568 in words is "one billion, one hundred forty-two million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 12239 15552 23328 24478 31104 36717 46656 48956 73434 93312 97912 110151 146868 195824 220302 293736 330453 391648 440604 587472 660906 783296 881208 991359 1174944 1321812 1566592 1762416 1982718 2349888 2643624 2974077 3524832 3965436 4699776 5287248 5948154 7049664 7930872 8922231 10574496 11896308 14099328 15861744 17844462 21148992 23792616 31723488 35688924 42297984 47585232 63446976 71377848 95170464 126893952 142755696 190340928 285511392 380681856 571022784 1142045568