Search a number
-
+
4701030342642 = 2321727919758067
BaseRepresentation
bin100010001101000101100…
…1111100101111111110010
3121122102011212221221001200
41010122023033211333302
51104010202231431032
613555342403112030
7663431625414054
oct104321317457762
917572155857050
104701030342642
111552772088a07
1263b111672616
132813c786777a
1412376140d8d4
158244073947c
hex4468b3e5ff2

4701030342642 has 144 divisors (see below), whose sum is σ = 11012730917760. Its totient is φ = 1448747629056.

The previous prime is 4701030342629. The next prime is 4701030342661. The reversal of 4701030342642 is 2462430301074.

4701030342642 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 0 + 3 + 0 + 3 + 4 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4701030342597 and 4701030342606.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80929693 + ... + 80987759.

It is an arithmetic number, because the mean of its divisors is an integer number (76477298040).

Almost surely, 24701030342642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701030342642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506365458880).

4701030342642 is an abundant number, since it is smaller than the sum of its proper divisors (6311700575118).

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

4701030342642 is a wasteful number, since it uses less digits than its factorization.

4701030342642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58385 (or 58365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 4701030342642 in words is "four trillion, seven hundred one billion, thirty million, three hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 197 237 289 306 394 474 578 591 711 867 1182 1343 1422 1734 1773 2601 2686 3349 3546 4029 5202 6698 8058 10047 12087 15563 20094 22831 24174 30141 31126 45662 46689 56933 58067 60282 68493 93378 113866 116134 136986 140067 170799 174201 205479 264571 280134 341598 348402 410958 512397 522603 529142 793713 987139 1024794 1045206 1587426 1974278 2381139 2961417 4497707 4587293 4762278 5922834 8884251 8995414 9174586 11439199 13493121 13761879 16781363 17768502 22878398 26986242 27523758 33562726 34317597 40479363 41285637 50344089 68635194 77983981 80958726 82571274 100688178 102952791 151032267 155967962 194466383 205905582 233951943 302064534 388932766 467903886 583399149 701855829 903696721 1166798298 1325727677 1403711658 1750197447 1807393442 2651455354 2711090163 3305928511 3500394894 3977183031 5422180326 6611857022 7954366062 8133270489 9917785533 11931549093 15362844257 16266540978 19835571066 23863098186 29753356599 30725688514 46088532771 59506713198 92177065542 138265598313 261168352369 276531196626 522336704738 783505057107 1567010114214 2350515171321 4701030342642