Search a number
-
+
4294094392784 = 2472339711233739
BaseRepresentation
bin111110011111001011111…
…110001000110111010000
3120012111210211011210120002
4332133023332020313100
51030323301131032114
613044402453305132
7622144443046640
oct76371376106720
916174724153502
104294094392784
11140612a379849
125942836351a8
13251c1528aab1
1410bb9a004520
1576a74e797de
hex3e7cbf88dd0

4294094392784 has 160 divisors (see below), whose sum is σ = 9958270248960. Its totient is φ = 1753845198336.

The previous prime is 4294094392751. The next prime is 4294094392799. The reversal of 4294094392784 is 4872934904924.

It is a self number, because there is not a number n which added to its sum of digits gives 4294094392784.

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, 1148458787 + ... + 1148462525.

It is an arithmetic number, because the mean of its divisors is an integer number (62239189056).

Almost surely, 24294094392784 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 4294094392784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979135124480).

4294094392784 is an abundant number, since it is smaller than the sum of its proper divisors (5664175856176).

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

4294094392784 is a wasteful number, since it uses less digits than its factorization.

4294094392784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 65.

The spelling of 4294094392784 in words is "four trillion, two hundred ninety-four billion, ninety-four million, three hundred ninety-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 397 644 794 1123 1288 1588 2246 2576 2779 3176 3739 4492 5558 6352 7478 7861 8984 9131 11116 14956 15722 17968 18262 22232 25829 26173 29912 31444 36524 44464 51658 52346 59824 62888 63917 73048 85997 103316 104692 125776 127834 146096 171994 180803 206632 209384 255668 343988 361606 413264 418768 445831 511336 601979 687976 723212 891662 1022672 1203958 1375952 1446424 1484383 1783324 2407916 2892848 2968766 3120817 3566648 4198897 4815832 5937532 6241634 7133296 8397794 9631664 10254113 10390681 11875064 12483268 16795588 20508226 20781362 23750128 24966536 29392279 33591176 34140809 41016452 41562724 49933072 58784558 67182352 68281618 71778791 82032904 83125448 96574631 117569116 136563236 143557582 164065808 166250896 193149262 235138232 238985663 273126472 287115164 386298524 470276464 477971326 546252944 574230328 676022417 772597048 955942652 1148460656 1352044834 1545194096 1666962109 1911885304 2704089668 3333924218 3823770608 5408179336 6667848436 10816358672 11668734763 13335696872 23337469526 26671393744 38340128507 46674939052 76680257014 93349878104 153360514028 186699756208 268380899549 306721028056 536761799098 613442056112 1073523598196 2147047196392 4294094392784