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1142395648 = 281723101113
BaseRepresentation
bin100010000010111…
…1001001100000000
32221121121201012221
41010011321030000
54314423130043
6305205300424
740211126362
oct10405711400
92847551187
101142395648
11536941839
1227a704714
131528a5a74
14aba16d32
156a45c8ed
hex44179300

1142395648 has 144 divisors (see below), whose sum is σ = 2566904256. Its totient is φ = 504627200.

The previous prime is 1142395633. The next prime is 1142395673. The reversal of 1142395648 is 8465932411.

Its product of digits (207360) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10109640 + ... + 10109752.

It is an arithmetic number, because the mean of its divisors is an integer number (17825724).

Almost surely, 21142395648 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 1142395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283452128).

1142395648 is an abundant number, since it is smaller than the sum of its proper divisors (1424508608).

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

1142395648 is a wasteful number, since it uses less digits than its factorization.

1142395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 1142395648 is about 33799.3438989576. The cubic root of 1142395648 is about 1045.3751689721.

The spelling of 1142395648 in words is "one billion, one hundred forty-two million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 101 113 128 136 184 202 226 256 272 368 391 404 452 544 736 782 808 904 1088 1472 1564 1616 1717 1808 1921 2176 2323 2599 2944 3128 3232 3434 3616 3842 4352 4646 5198 5888 6256 6464 6868 7232 7684 9292 10396 11413 12512 12928 13736 14464 15368 18584 20792 22826 25024 25856 27472 28928 30736 37168 39491 41584 44183 45652 50048 54944 61472 74336 78982 83168 88366 91304 100096 109888 122944 148672 157964 166336 176732 182608 194021 219776 245888 262499 297344 315928 332672 353464 365216 388042 439552 491776 524998 594688 631856 665344 706928 730432 776084 1049996 1263712 1413856 1460864 1552168 2099992 2527424 2827712 2921728 3104336 4199984 4462483 5054848 5655424 6208672 8399968 8924966 10109696 11310848 12417344 16799936 17849932 24834688 33599872 35699864 49669376 67199744 71399728 142799456 285598912 571197824 1142395648