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1142233104 = 243414753233
BaseRepresentation
bin100010000010101…
…0001100000010000
32221121022110020210
41010011101200100
54314402424404
6305202004120
740206551445
oct10405214020
92847273223
101142233104
11536840701
1227a646640
13152849a9c
14ab9b39cc
156a429689
hex44151810

1142233104 has 160 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 355164160.

The previous prime is 1142233049. The next prime is 1142233109. The reversal of 1142233104 is 4013322411.

It is not an unprimeable number, because it can be changed into a prime (1142233109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4902172 + ... + 4902404.

Almost surely, 21142233104 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 1142233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

1142233104 is an abundant number, since it is smaller than the sum of its proper divisors (2016564720).

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

1142233104 is a wasteful number, since it uses less digits than its factorization.

1142233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1142233104 is about 33796.9392697031. The cubic root of 1142233104 is about 1045.3255867568.

Adding to 1142233104 its reverse (4013322411), we get a palindrome (5155555515).

The spelling of 1142233104 in words is "one billion, one hundred forty-two million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 53 82 94 106 123 141 159 164 188 212 233 246 282 318 328 376 424 466 492 564 636 656 699 752 848 932 984 1128 1272 1398 1864 1927 1968 2173 2256 2491 2544 2796 3728 3854 4346 4982 5592 5781 6519 7473 7708 8692 9553 9964 10951 11184 11562 12349 13038 14946 15416 17384 19106 19928 21902 23124 24698 26076 28659 29892 30832 32853 34768 37047 38212 39856 43804 46248 49396 52152 57318 59784 65706 74094 76424 87608 92496 98792 102131 104304 114636 119568 131412 148188 152848 175216 197584 204262 229272 262824 296376 306393 408524 448991 458544 506309 525648 580403 592752 612786 817048 897982 1012618 1160806 1225572 1346973 1518927 1634096 1741209 1795964 2025236 2321612 2451144 2693946 3037854 3482418 3591928 4050472 4643224 4902288 5387892 6075708 6964836 7183856 8100944 9286448 10775784 12151416 13929672 21551568 23796523 24302832 27859344 47593046 71389569 95186092 142779138 190372184 285558276 380744368 571116552 1142233104