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1141044324 = 2237293831223
BaseRepresentation
bin100010000000010…
…1111010001100100
32221112002001112220
41010000233101210
54314101404244
6305120312340
740163500560
oct10400572144
92845061486
101141044324
115360a9542
1227a1726b0
13152521974
14ab7846a0
156a292319
hex4402f464

1141044324 has 96 divisors (see below), whose sum is σ = 3158507520. Its totient is φ = 313692288.

The previous prime is 1141044319. The next prime is 1141044341. The reversal of 1141044324 is 4234401411.

It is a junction number, because it is equal to n+sod(n) for n = 1141044294 and 1141044303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932377 + ... + 933599.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 21141044324 is an apocalyptic number.

1141044324 is a gapful number since it is divisible by the number (14) 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 1141044324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579253760).

1141044324 is an abundant number, since it is smaller than the sum of its proper divisors (2017463196).

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

1141044324 is a wasteful number, since it uses less digits than its factorization.

1141044324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1141044324 is about 33779.3475958314. The cubic root of 1141044324 is about 1044.9628197359.

Adding to 1141044324 its reverse (4234401411), we get a palindrome (5375445735).

The spelling of 1141044324 in words is "one billion, one hundred forty-one million, forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 383 406 609 766 812 1149 1218 1223 1532 2298 2436 2446 2681 3669 4596 4892 5362 7338 8043 8561 10724 11107 14676 16086 17122 22214 25683 32172 33321 34244 35467 44428 51366 66642 70934 77749 102732 106401 133284 141868 155498 212802 233247 248269 310996 425604 466494 468409 496538 744807 932988 936818 993076 1405227 1489614 1873636 2810454 2979228 3278863 5620908 6557726 9836589 13115452 13583861 19673178 27167722 39346356 40751583 54335444 81503166 95087027 163006332 190174054 285261081 380348108 570522162 1141044324