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1048144063440 = 243547643144511
BaseRepresentation
bin11110100000010100100…
…00010010101111010000
310201012102221222020202210
433100022100102233100
5114133044340012230
62121302152512120
7135503662353015
oct17201220225720
93635387866683
101048144063440
11374573aa9381
1214b1793ab640
1377abb691c46
1438a3249d70c
151c3e8203eb0
hexf40a412bd0

1048144063440 has 160 divisors (see below), whose sum is σ = 3323563278336. Its totient is φ = 273130836480.

The previous prime is 1048144063423. The next prime is 1048144063481. The reversal of 1048144063440 is 443604418401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7180785 + ... + 7325295.

Almost surely, 21048144063440 is an apocalyptic number.

1048144063440 is a gapful number since it is divisible by the number (10) 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 1048144063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661781639168).

1048144063440 is an abundant number, since it is smaller than the sum of its proper divisors (2275419214896).

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

1048144063440 is a wasteful number, since it uses less digits than its factorization.

1048144063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145217 (or 145211 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 1048144063440 in words is "one trillion, forty-eight billion, one hundred forty-four million, sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 643 705 752 940 1128 1286 1410 1880 1929 2256 2572 2820 3215 3760 3858 5144 5640 6430 7716 9645 10288 11280 12860 15432 19290 25720 30221 30864 38580 51440 60442 77160 90663 120884 144511 151105 154320 181326 241768 289022 302210 362652 433533 453315 483536 578044 604420 722555 725304 867066 906630 1156088 1208840 1445110 1450608 1734132 1813260 2167665 2312176 2417680 2890220 3468264 3626520 4335330 5780440 6792017 6936528 7253040 8670660 11560880 13584034 17341320 20376051 27168068 33960085 34682640 40752102 54336136 67920170 81504204 92920573 101880255 108672272 135840340 163008408 185841146 203760510 271680680 278761719 326016816 371682292 407521020 464602865 543361360 557523438 743364584 815042040 929205730 1115046876 1393808595 1486729168 1630084080 1858411460 2230093752 2787617190 3716822920 4367266931 4460187504 5575234380 7433645840 8734533862 11150468760 13101800793 17469067724 21836334655 22300937520 26203601586 34938135448 43672669310 52407203172 65509003965 69876270896 87345338620 104814406344 131018007930 174690677240 209628812688 262036015860 349381354480 524072031720 1048144063440