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1142849664 = 27321190187
BaseRepresentation
bin100010000011110…
…1000000010000000
32221122110210000100
41010013220002000
54320032142124
6305223122400
740215030135
oct10407500200
92848423010
101142849664
11537121960
1227a8a3400
13152a04608
14abad458c
156a4ec1c9
hex441e8080

1142849664 has 96 divisors (see below), whose sum is σ = 3587678640. Its totient is φ = 346314240.

The previous prime is 1142849651. The next prime is 1142849681. The reversal of 1142849664 is 4669482411.

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

It is a super-2 number, since 2×11428496642 = 2612210709009825792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32422 + ... + 57765.

Almost surely, 21142849664 is an apocalyptic number.

It is an amenable number.

1142849664 is an abundant number, since it is smaller than the sum of its proper divisors (2444828976).

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

1142849664 is a wasteful number, since it uses less digits than its factorization.

1142849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90218 (or 90203 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1142849664 is about 33806.0595751708. The cubic root of 1142849664 is about 1045.5136365257.

The spelling of 1142849664 in words is "one billion, one hundred forty-two million, eight hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 90187 180374 270561 360748 541122 721496 811683 992057 1082244 1442992 1623366 1984114 2164488 2885984 2976171 3246732 3968228 4328976 5771968 5952342 6493464 7936456 8657952 8928513 11543936 11904684 12986928 15872912 17315904 17857026 23809368 25973856 31745824 34631808 35714052 47618736 51947712 63491648 71428104 95237472 103895424 126983296 142856208 190474944 285712416 380949888 571424832 1142849664