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1144022946 = 2311193129429
BaseRepresentation
bin100010000110000…
…0110011110100010
32221201200101110020
41010030012132202
54320332213241
6305304214310
740231014603
oct10414063642
92851611406
101144022946
11537853410
1227b16a396
13153025671
14abd1bdaa
156a67eb66
hex443067a2

1144022946 has 64 divisors (see below), whose sum is σ = 2712268800. Its totient is φ = 317822400.

The previous prime is 1144022917. The next prime is 1144022981. The reversal of 1144022946 is 6492204411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24160 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (42379200).

Almost surely, 21144022946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144022946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356134400).

1144022946 is an abundant number, since it is smaller than the sum of its proper divisors (1568245854).

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

1144022946 is a wasteful number, since it uses less digits than its factorization.

1144022946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29495.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1144022946 is about 33823.4082552306. The cubic root of 1144022946 is about 1045.8712988459.

The spelling of 1144022946 in words is "one billion, one hundred forty-four million, twenty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 3534 6479 12958 19437 29429 38874 58858 88287 176574 323719 559151 647438 912299 971157 1118302 1677453 1824598 1942314 2736897 3354906 5473794 6150661 10035289 12301322 17333681 18451983 20070578 30105867 34667362 36903966 52001043 60211734 104002086 190670491 381340982 572011473 1144022946