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434040141444 = 223713658160397
BaseRepresentation
bin1100101000011101100…
…11101111011010000100
31112111100000002201112020
412110032303233122010
524102403234011234
6531221214323140
743233630220620
oct6241663573204
91474300081466
10434040141444
111580913874a8
12701531b94b0
1331c11a3ab80
1417017010180
15b455076549
hex650ecef684

434040141444 has 96 divisors (see below), whose sum is σ = 1246684298496. Its totient is φ = 114452835840.

The previous prime is 434040141439. The next prime is 434040141461. The reversal of 434040141444 is 444141040434.

434040141444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 7156254 + ... + 7216650.

It is an arithmetic number, because the mean of its divisors is an integer number (12986294776).

Almost surely, 2434040141444 is an apocalyptic number.

It is an amenable number.

434040141444 is an abundant number, since it is smaller than the sum of its proper divisors (812644157052).

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

434040141444 is a wasteful number, since it uses less digits than its factorization.

434040141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67005 (or 67003 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 434040141444 its reverse (444141040434), we get a palindrome (878181181878).

The spelling of 434040141444 in words is "four hundred thirty-four billion, forty million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 6581 13162 19743 26324 39486 46067 60397 78972 85553 92134 120794 138201 171106 181191 184268 241588 256659 276402 342212 362382 422779 513318 552804 598871 724764 785161 845558 1026636 1197742 1268337 1570322 1691116 1796613 2355483 2395484 2536674 3140644 3593226 4710966 5073348 5496127 7186452 9421932 10992254 16488381 21984508 32976762 65953524 397472657 794945314 1192417971 1589890628 2384835942 2782308599 4769671884 5167144541 5564617198 8346925797 10334289082 11129234396 15501433623 16693851594 20668578164 31002867246 33387703188 36170011787 62005734492 72340023574 108510035361 144680047148 217020070722 434040141444