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1142491328 = 261123371907
BaseRepresentation
bin100010000011001…
…0000100011000000
32221121210120110122
41010012100203000
54314434210303
6305211315412
740212005336
oct10406204300
92847716418
101142491328
115369a7710
1227a74bb68
1315290a494
14aba3db56
156a47ae38
hex441908c0

1142491328 has 112 divisors (see below), whose sum is σ = 2651906304. Its totient is φ = 483056640.

The previous prime is 1142491321. The next prime is 1142491333. The reversal of 1142491328 is 8231942411.

It is not an unprimeable number, because it can be changed into a prime (1142491321) 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, 598151 + ... + 600057.

Almost surely, 21142491328 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 1142491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325953152).

1142491328 is an abundant number, since it is smaller than the sum of its proper divisors (1509414976).

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

1142491328 is a wasteful number, since it uses less digits than its factorization.

1142491328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 1142491328 is about 33800.7592814126. The cubic root of 1142491328 is about 1045.4043528788.

The spelling of 1142491328 in words is "one billion, one hundred forty-two million, four hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 148 176 184 253 296 352 368 407 506 592 704 736 814 851 1012 1184 1472 1628 1702 1907 2024 2368 3256 3404 3814 4048 6512 6808 7628 8096 9361 13024 13616 15256 16192 18722 20977 26048 27232 30512 37444 41954 43861 54464 61024 70559 74888 83908 87722 122048 141118 149776 167816 175444 282236 299552 335632 350888 482471 564472 599104 671264 701776 776149 964942 1128944 1342528 1403552 1552298 1622857 1929884 2257888 2807104 3104596 3245714 3859768 4515776 6209192 6491428 7719536 12418384 12982856 15439072 17851427 24836768 25965712 30878144 35702854 49673536 51931424 71405708 103862848 142811416 285622832 571245664 1142491328