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141036563268 = 223243734572731
BaseRepresentation
bin1000001101011001101…
…1110010101101000100
3111111001002011202020100
42003112123302231010
54302320330011033
6144442531004100
713122006002436
oct2032633625504
9444032152210
10141036563268
11548a45104a7
1223400a39630
13103b8561643
146b7d176656
153a06c26513
hex20d66f2b44

141036563268 has 144 divisors (see below), whose sum is σ = 370742147776. Its totient is φ = 45174205440.

The previous prime is 141036563249. The next prime is 141036563303. The reversal of 141036563268 is 862365630141.

141036563268 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 6 + 5 + 632 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51641463 + ... + 51644193.

Almost surely, 2141036563268 is an apocalyptic number.

141036563268 is a gapful number since it is divisible by the number (18) 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 141036563268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185371073888).

141036563268 is an abundant number, since it is smaller than the sum of its proper divisors (229705584508).

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

141036563268 is a wasteful number, since it uses less digits than its factorization.

141036563268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 141036563268 in words is "one hundred forty-one billion, thirty-six million, five hundred sixty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 73 86 129 146 172 219 258 292 387 438 457 516 657 774 876 914 1314 1371 1548 1828 2628 2731 2742 3139 4113 5462 5484 6278 8193 8226 9417 10924 12556 16386 16452 18834 19651 24579 28251 32772 33361 37668 39302 49158 56502 58953 66722 78604 98316 100083 113004 117433 117906 133444 176859 199363 200166 234866 235812 300249 352299 353718 398726 400332 469732 598089 600498 704598 707436 797452 1056897 1196178 1200996 1248067 1409196 1434523 1794267 2113794 2392356 2496134 2869046 3588534 3744201 4227588 4303569 4992268 5738092 7177068 7488402 8572609 8607138 11232603 12910707 14976804 17145218 17214276 22465206 25717827 25821414 34290436 44930412 51435654 51642828 53666881 77153481 91108891 102871308 107333762 154306962 161000643 182217782 214667524 273326673 308613924 322001286 364435564 483001929 546653346 644002572 819980019 966003858 1093306692 1639960038 1932007716 3279920076 3917682313 7835364626 11753046939 15670729252 23506093878 35259140817 47012187756 70518281634 141036563268