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1141001004 = 22311133189241
BaseRepresentation
bin100010000000010…
…0100101100101100
32221111222212010110
41010000210230230
54314044013004
6305115340020
740163230353
oct10400445454
92844885113
101141001004
11536079a40
1227a151610
13152508030
14ab77299a
156a284589
hex44024b2c

1141001004 has 192 divisors, whose sum is σ = 3278499840. Its totient is φ = 304128000.

The previous prime is 1141001003. The next prime is 1141001011. The reversal of 1141001004 is 4001001411.

It is a super-2 number, since 2×11410010042 = 2603766582258016032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1141001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4734324 + ... + 4734564.

It is an arithmetic number, because the mean of its divisors is an integer number (17075520).

Almost surely, 21141001004 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 1141001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639249920).

1141001004 is an abundant number, since it is smaller than the sum of its proper divisors (2137498836).

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

1141001004 is a wasteful number, since it uses less digits than its factorization.

1141001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1141001004 is about 33778.7063695459. The cubic root of 1141001004 is about 1044.9495954871.

Adding to 1141001004 its reverse (4001001411), we get a palindrome (5142002415).

The spelling of 1141001004 in words is "one billion, one hundred forty-one million, one thousand, four".