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401432542512 = 243377113012447
BaseRepresentation
bin1011101011101110011…
…11100111110100110000
31102101011112011001212220
411311313033213310300
523034113212330022
6504225432321040
741000605211541
oct5656717476460
91371145131786
10401432542512
11145279228831
1265972b43180
132bb16372131
14156025464c8
15a69756a85c
hex5d773e7d30

401432542512 has 160 divisors (see below), whose sum is σ = 1081334790144. Its totient is φ = 128209536000.

The previous prime is 401432542501. The next prime is 401432542547. The reversal of 401432542512 is 215245234104.

It is a super-2 number, since 2×4014325425122 (a number of 24 digits) contains 22 as substring.

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, 164049673 + ... + 164052119.

Almost surely, 2401432542512 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 401432542512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540667395072).

401432542512 is an abundant number, since it is smaller than the sum of its proper divisors (679902247632).

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

401432542512 is a wasteful number, since it uses less digits than its factorization.

401432542512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 401432542512 its reverse (215245234104), we get a palindrome (616677776616).

The spelling of 401432542512 in words is "four hundred one billion, four hundred thirty-two million, five hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 213 222 284 296 426 444 568 592 852 888 1136 1301 1704 1776 2447 2602 2627 3408 3903 4894 5204 5254 7341 7806 7881 9788 10408 10508 14682 15612 15762 19576 20816 21016 29364 31224 31524 39152 42032 48137 58728 62448 63048 90539 92371 96274 117456 126096 144411 173737 181078 184742 192548 271617 277113 288822 347474 362156 369484 385096 521211 543234 554226 577644 694948 724312 738968 770192 1042422 1086468 1108452 1155288 1389896 1448624 1477936 2084844 2172936 2216904 2310576 2779792 3183547 3417727 4169688 4345872 4433808 6367094 6428269 6835454 8339376 9550641 10253181 12734188 12856538 13670908 19101282 19284807 20506362 25468376 25713076 27341816 38202564 38569614 41012724 50936752 51426152 54683632 76405128 77139228 82025448 102852304 117791239 152810256 154278456 164050896 226031837 235582478 308556912 353373717 452063674 471164956 678095511 706747434 904127348 942329912 1356191022 1413494868 1808254696 1884659824 2712382044 2826989736 3616509392 5424764088 5653979472 8363177969 10849528176 16726355938 25089533907 33452711876 50179067814 66905423752 100358135628 133810847504 200716271256 401432542512