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1143745408 = 2713897723
BaseRepresentation
bin100010000101100…
…0010101110000000
32221201011021202001
41010023002232000
54320244323113
6305254233344
740225450501
oct10413025600
92851137661
101143745408
11537683943
1227b055854
13152c59240
14abc88ba8
156a6277dd
hex442c2b80

1143745408 has 64 divisors (see below), whose sum is σ = 2481721200. Its totient is φ = 521883648.

The previous prime is 1143745399. The next prime is 1143745417. The reversal of 1143745408 is 8045473411.

It is an interprime number because it is at equal distance from previous prime (1143745399) and next prime (1143745417).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144235 + ... + 151957.

Almost surely, 21143745408 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 1143745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240860600).

1143745408 is an abundant number, since it is smaller than the sum of its proper divisors (1337975792).

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

1143745408 is an equidigital number, since it uses as much as digits as its factorization.

1143745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 1143745408 is about 33819.3052560220. The cubic root of 1143745408 is about 1045.7867164793.

The spelling of 1143745408 in words is "one billion, one hundred forty-three million, seven hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 7723 9256 11392 15446 18512 30892 37024 61784 74048 100399 123568 148096 200798 247136 401596 494272 687347 803192 988544 1374694 1606384 2749388 3212768 5498776 6425536 8935511 10997552 12851072 17871022 21995104 35742044 43990208 71484088 87980416 142968176 285936352 571872704 1143745408