Search a number
-
+
1142954496 = 2933292851
BaseRepresentation
bin100010000100000…
…0001101000000000
32221122200002211000
41010020001220000
54320044020441
6305225252000
740215644565
oct10410015000
92848602730
101142954496
115371936a2
1227a934000
13152a40248
14abb2086c
156a51d2b6
hex44201a00

1142954496 has 160 divisors (see below), whose sum is σ = 3501115200. Its totient is φ = 367718400.

The previous prime is 1142954471. The next prime is 1142954497. The reversal of 1142954496 is 6944592411.

1142954496 is a `hidden beast` number, since 1 + 14 + 2 + 9 + 544 + 96 = 666.

It is a super-2 number, since 2×11429544962 = 2612689959853228032, which contains 22 as substring.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1142954497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399471 + ... + 402321.

It is an arithmetic number, because the mean of its divisors is an integer number (21881970).

Almost surely, 21142954496 is an apocalyptic number.

1142954496 is a gapful number since it is divisible by the number (16) 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 1142954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750557600).

1142954496 is an abundant number, since it is smaller than the sum of its proper divisors (2358160704).

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

1142954496 is an equidigital number, since it uses as much as digits as its factorization.

1142954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2885 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1142954496 is about 33807.6100308791. The cubic root of 1142954496 is about 1045.5456033825.

The spelling of 1142954496 in words is "one billion, one hundred forty-two million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 2851 3132 3456 3712 4176 4608 5568 5702 6264 6912 7424 8352 8553 11136 11404 12528 13824 14848 16704 17106 22272 22808 25056 25659 33408 34212 44544 45616 50112 51318 66816 68424 76977 82679 91232 100224 102636 133632 136848 153954 165358 182464 200448 205272 248037 273696 307908 330716 364928 400896 410544 496074 547392 615816 661432 729856 744111 821088 992148 1094784 1231632 1322864 1459712 1488222 1642176 1984296 2189568 2232333 2463264 2645728 2976444 3284352 3968592 4379136 4464666 4926528 5291456 5952888 6568704 7937184 8929332 9853056 10582912 11905776 13137408 15874368 17858664 19706112 21165824 23811552 31748736 35717328 39412224 42331648 47623104 63497472 71434656 95246208 126994944 142869312 190492416 285738624 380984832 571477248 1142954496